Answers
The width of the arch at floor level is 10 feet.
Describe Function?In mathematics, a function is a relationship between two sets of objects, where each object in the first set (called the domain) is paired with exactly one object in the second set (called the range). In other words, a function is a rule that assigns a unique output value to each input value.
Functions can be described in several ways, including algebraic expressions, tables of values, graphs, and verbal descriptions. They can be used to model real-world phenomena, solve equations, and make predictions based on data.
The input values of a function are typically denoted by the variable x, while the output values are denoted by the variable y. The notation f(x) is often used to represent a function, where f is the name of the function and x is the input value.
Functions can be classified into different types based on their properties, such as linear, quadratic, exponential, trigonometric, and logarithmic functions. They can also be combined and manipulated using operations such as addition, subtraction, multiplication, division, composition, and inversion.
One of the key concepts in calculus is the derivative, which is the rate at which the output of a function changes with respect to its input. The derivative is used to calculate slopes, rates of change, and optimization problems in a wide range of applications.
Overall, functions are a fundamental concept in mathematics and have many important applications in science, engineering, economics, and other fields.
To find the width of the arch at floor level, we need to find the x-intercepts of the function y = -1/3(x-5)(x+5). At the x-intercepts, y is equal to zero, so we can set the equation equal to zero and solve for x:
0 = -1/3(x-5)(x+5)
There are two solutions to this equation: x = -5 and x = 5. These are the x-coordinates of the points where the arch intersects the x-axis.
The distance between these two points is the width of the arch at floor level. We can calculate this distance by subtracting the smaller x-value from the larger x-value:
Width = 5 - (-5) = 10 feet
Therefore, the width of the arch at floor level is 10 feet.
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Related Questions
Please help me its linear equations.
Answers
Answer:
A: -5B: -6greaterStep-by-step explanation:
You want the y-intercepts of the relation y -5 = -5/2(x +4) and the one shown in the graph.
Y-interceptThe y-intercept of a function is its value when x=0. It is the y-value where the graph crosses the y-axis.
ASetting x=0, we can solve for y:
y -5 = -5/2(0 +4) = -10
y = -5 . . . . . . . . add 5; this is the y-intercept
The y-intercept of Line A is -5.
BThe graph crosses the y-axis at y = -6.
The y-intercept of Line B is -6.
The y-intercept of Line A is greater than the y-intercept of Line B.
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) + sin(x) 9 dx sin(2x)
Answers
Value of integral ∫cos(x) + sin(x) 9 dx sin(2x) is
-9cos(x)sin(2x) + sin(2x)sin(x) + c.sin(2x)
What is integral?In mathematics, integrals are the continuous analogues of sums and are used to calculate areas, volumes, and their generalizations. Integration (the process of computing an integral) is one of the two basic operations in calculus, the other being differentiation.
Given,
∫(cos(x) + sin(x).9)dx . sin2x
simplifying
sin(2x) ∫(9sinx + cosx)dx
sin(2x) (9∫sin(x)dx+∫cos(x)dx)
sin(2x) (-9cos(x) + sin(x) + c)
Using distributive law
= sin(2x)(-9cos(x)) + sin(2x)sin(x) + sin(2x).c
= -9cos(x)sin(2x) + sin(2x)sin(x) + c.sin(2x)
Hence, -9cos(x)sin(2x) + sin(2x)sin(x) + c.sin(2x) is the value of integral
∫(cos(x) + sin(x) . 9)dx sin(2x)
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A person walks 1/4 miles in 1/12 hour. What is the person’s speed in miles per hour?
Answers
The speed of the person in miles per hour is S = 3 mph
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of the person in miles per hour be S
Now , the distance traveled by the person D = 1/4 miles
The time taken by the person to travel ( 1/4 ) miles = 1/12 of an hour
Now , speed of the person in miles per hour S = distance traveled by the person D / time taken by the person to travel ( 1/4 ) miles
On simplifying , we get
The speed of the person in miles per hour S = ( 1/4 ) / ( 1/12 )
The speed of the person in miles per hour S = ( 1/4 ) x 12
The speed of the person in miles per hour S = 3 miles per hour
Hence , the speed is 3 mph
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Suppose that the number of customers that enter a bank in a hour is a poisson random varialbe, and suppose that P(x=0)=0.07, Determine the mean and variance of x
Answers
The mean and the variance of the poisson distribution are;
Mean = 2.66
Variance = 1.277
How to solve Poisson Distribution problems?The formula for the PMF of a Poisson distribution is;
p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......
Thus;
p(x = 0) = [e^(-λ) * λ^(0)]/0!
e^(-λ) = 0.07
λ = - In 0.07
λ = 2.66
That is the mean
Variance is square root of standard deviation;
Variance = √√(2.66)
Variance = 1.277
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Answer:
2.65926003693 for mean and variance.
Step-by-step explanation:
First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.
Mrs. Smith has 310 pencils in her classroom. Each student gets 3³
pencils. How many students are in her class? Leave your answer in
exponent form.
A. 313
B. 330
C. 37
D. 39
Answers
The number of students in mrs. Smith's class in exponent form is 3⁷.
How many students are in Mrs. Smith class?Given that, Mrs. Smith has 3¹⁰ pencils in her classroom. Each student gets 3³ pencils.
Let the number of students in the class be represented by n.
Total number of pencils = 3¹⁰Number of pencils each student gets = 3³Number of students in the class = nTo get the number of students in the class, divide the total number of pencils by the number of pencils each student got.
n = Total number of pencils ÷ Number of pencils each student gets
n = 3¹⁰ ÷ 3³
Since they both have the same base, we subtract the exponents
n = 3¹⁰ ⁻ ³
n = 3⁷
Therefore, the number of students is 3⁷.
Option D) 3⁷ is the correct answer.
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The supplies account has a balance of $1,000 at the beginning of the year and was debited during the year for $2,800, representing the total of supplies purchased during the year. If $750 of supplies are on hand at the end of the year, the supplies expense to be reported on the income statement for the year is
Answers
The supplies expense to be reported on the income statement for the year can be calculated using the formula:
Supplies expense = Beginning supplies balance + Supplies purchased during the year - Ending supplies balance
Substituting the given values, we get:
Supplies expense = $1,000 + $2,800 - $750Supplies expense = $3,050Therefore, the supplies expense to be reported on the income statement for the year is $3,050.
~ Zeph
Pls answer as soon as possible
Answers
The interval over which the functions have the same average rate of change is given as follows:
x = 1 to x = 2.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The function g(x) is given as follows:
g(x) = 18x + 12.
It is a linear function with a slope of 18, hence the average rate of change over each interval is of 18.
For function f(x), the rates are given as follows:
x = -7 to x = 3: (6 x 3² + 12 - 6 x (-7)² - 12)/10 = -24.x = -4 to x = 0: (6 x (0)² + 12 - 6 x (-4)² - 12)/4 = -24.x = 4 to x = 6: (6 x (6)² + 12 - 6 x (4)² - 12)/2 = 60.x = 1 to x = 2: (6 x (2)² + 12 - 6 x (1)² - 12)/1 = 18. -> same rate as g(x).More can be learned about the average rate of change of a function at brainly.com/question/11627203
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Lauren is working two summer jobs, making $24 per hour tutoring and making $8
per hour clearing tables. In a given week, she can work no more than 13 total hours
and must earn no less than $160. Also, she must work no more than 8 hours tutoring
and a maximum of 5 hours clearing tables. If a represents the number of hours
tutoring and y represents the number of hours clearing tables, write and solve a
system of inequalities graphically and determine one possible solution.
Answers
The system of inequalities of the given question is x>0, y>0 and 24x+8y=160
What are system of inequalities?
When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.
A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
We are given that;
Price per hour for tutoring=$24
Price per hour for clearing tables=$8
Earning no less than $160
Work no more than in tutoring= 8hr
Maximum working for clearing table=5hr
Now,
x = number of hours tutoring y = number of hours landscaping
We cannot have negative values for either x and y, so xo and
x+y= total hours worked for both jobs combined
This total cannot exceed 11 hours
x+y≤11
Either x+y= 11 or x+y < 11
22x amount of money made from tutoring only = By amount of money made from landscaping only 22x+8y = total amount made from both jobs
24k+By 160 since he must make at least $160 Either 24x+8y = 160 or 24x+8y> 160
Therefore, the system of inequalities will be x>0,y>0,24x+8y=160
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Fifth National bank offers four different certificates of deposit (CD). The first CD (A) offers a 4% interest rate for amount greater than $10,000. The second CD (B) offers a 4.2% interest rate for amount greater than $25,000. The third CD (C) offers a 4.5% interest rate for amount greater than $30,000. Finally, the fourth CD (D) offers a 5% interest rate for amount greater than $35,000. A customer has $150,000 to deposit. She wishes to deposit not more than 1/3 of her money in any of the CDs. She likes to deposit exactly three times of her money in CD#2 than CD#1. She wishes the sum of the first and the second CDs to be less than or equal to the third CD. You are lowering all amounts by a factor or scale of 1,000. What would you replace $150,000 within the constraint's equations?
Answers
We have given the constraints to the given equations:
1. $10,000 ≤ x1 ≤ 50
2. $25,000 ≤ x2 ≤ 75.6
3. $30,000 ≤ x3 ≤ 150
4. $35,000 ≤ x4 ≤ 50
5. x1 + x2 ≤ x3
What is linear inequality?
A linear inequality is an inequality that can be written in the form of a linear equation with an inequality symbol, such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
If we are lowering all amounts by a factor of 1,000, then we would replace $150,000 with 150.
So the constraint equations would be:
1.) $10,000 ≤ x1 ≤ 50 (since the customer can deposit up to 1/3 of her money in CD#1)
2.) $25,000 ≤ x2 ≤ 75.6 (since the customer can deposit up to 1/3 of her money in CD#2 and she wants to deposit exactly three times as much in CD#2 as in CD#1)
3.) $30,000 ≤ x3 ≤ 150 (since the customer can deposit up to 1/3 of her money in CD#3)
4.) $35,000 ≤ x4 ≤ 50 (since the customer can deposit up to 1/3 of her money in CD#4)
5.) x1 + x2 ≤ x3 (since the sum of the first and the second CDs must be less than or equal to the third CD)
Hence, we have given the constraints to the given equations:
1. $10,000 ≤ x1 ≤ 50
2. $25,000 ≤ x2 ≤ 75.6
3. $30,000 ≤ x3 ≤ 150
4. $35,000 ≤ x4 ≤ 50
5. x1 + x2 ≤ x3
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A 28 g serving of almonds has 160 calories. How many calories are in a 45 g serving of almonds?
Answers
Answer:
257.14 calories (about 260)
Step-by-step explanation:
To solve this problem, we can use proportions.
If a 28 g serving of almonds has 160 calories, then:
28 g / 160 calories = 45 g / x calories
where x is the number of calories in a 45 g serving of almonds.
We can cross-multiply and solve for x:
28 g * x = 160 calories * 45 g
x = (160 calories * 45 g) / 28 g
x = 257.14 calories
Therefore, a 45 g serving of almonds has 257.14 calories (rounded to two decimal places).
Identify the rational function whose graph is given below. Note the graph has an x-intercept at x=2 and a y-intercept at y=−2/3.
Answers
Therefore, the rational function whose graph has an x-intercept at x=2.
What is function?In mathematics, a function is a rule that assigns to each input value from a set (called the domain) exactly one output value from another set (called the range). In other words, a function is a relationship between two sets of numbers, such that for each input value there is a unique output value. Functions are commonly denoted by an equation that defines the relationship between the input and output variables. For example, the equation y = f(x) defines a function f, where x is the input variable and y is the output variable.
Here,
To identify the rational function whose graph is given below, we need to determine its equation. We know that the graph has an x-intercept at x=2 and a y-intercept at y=−2/3.
We also know that the function is a rational function, which means it can be written as a ratio of two polynomials. The general form of a rational function is:
f(x) = p(x)/q(x)
where p(x) and q(x) are polynomials, and q(x) cannot be zero.
To find the specific equation of the function whose graph is shown, we can use the information about the intercepts to write down two points that are on the graph. We can use these points to set up a system of equations that we can solve for the coefficients of the polynomials p(x) and q(x).
Using the x-intercept, we know that the point (2,0) is on the graph. Using the y-intercept, we know that the point (0,-2/3) is on the graph. So we can set up the following system of equations:
p(2)/q(2) = 0
p(0)/q(0) = -2/3
Since the denominator of a rational function cannot be zero, we know that q(2) and q(0) cannot be zero. This allows us to set up a third equation:
q(x) ≠ 0
Now we can use algebra to solve for the coefficients of p(x) and q(x). We can start by writing the rational function in general form:
f(x) = p(x)/q(x)
and then multiplying both sides by q(x):
f(x)q(x) = p(x)
We can now substitute x=2 and x=0 to get two equations:
f(2)q(2) = p(2) = 0
f(0)q(0) = p(0) = -2/3
We also have the equation q(x) ≠ 0. This means that the denominator cannot have any factors that would make it equal to zero, so we can assume that q(x) has a linear factor of (x - 2), since we know that the graph has an x-intercept at x=2. We can then write:
q(x) = a(x - 2)
where a is some constant.
Now we can substitute this expression for q(x) into the equation f(x)q(x) = p(x) and simplify:
f(x)q(x) = p(x)
f(x)a(x - 2) = p(x)
We can now substitute x=0 and use the equation we found for p(0):
f(0)a(-2) = -2/3
f(0) = 1/3a
Next, we can substitute x=2 and use the equation we found for p(2):
f(2)a(0) = 0
f(2) = 0
Finally, we can substitute these values for f(0) and f(2) into the general form of the rational function and simplify:
f(x) = p(x)/q(x)
f(x) = p(x)/(a(x - 2))
We know that p(x) = f(x)q(x) from the equation we derived earlier, so we can substitute this into the equation above:
f(x) = f(x)(x - 2)/a(x - 2)
We can now cancel the f(x) terms from both sides and simplify:
1 = (x - 2)/a
a = x - 2
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Find the area and the circumference for the circle below. Use the math tools to get the correct symbols.
Answers
Answer:
Area = 78.54 sq. ft. (25π)
Circumference = 31.42 ft. (10π)
Step-by-step explanation:
Diameter of circle d = 10 ft
Radius r = Diameter/2 = 5
Area = πr² = π x 5² = π x 25 = 78.54 sq. ft. rounded to 2 decimal places
Circumference = πd = π x 10 = 31.42 ft. rounded to 2 decimal places.
How much will be charged in prepaid interest on a $250,000 loan with an APR of 5.25% that was closed on April 12th
Answers
The amount that will be charged in prepaid interest on a $250,000 loan with an APR of 5.25% closed on April 12th is $9,457.19.
What is the APR?The APR represents the annual percentage rate.
The annual percentage rate is the interest rate for the year, including other finance charges.
To compute the interest, the annual percentage rate is multiplied by the loan amount and the period divided by 365 days.
Loan amount = $250,000
Annual percentage rate (APR) = 5.25%
Loan closing date = April 12th
April 12th to December 31st = 263 days
Interest for the year = $9,457.19 ($250,000 x 5.25% x 263/365)
Thus, for the year, the interest is $9,457.19.
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My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment. need done asap
Answers
The proof is incorrect and step number 3 is the first unjustified step due to missing prior step.
What is a rectangle?A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
The step 3 in the given explanation is unjustified step. The step needs to be place at the last in order to take in consideration all the steps and properties of a rectangle.
Hence, the proof is incorrect and step number 3 is the first unjustified step due to missing prior step.
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Your Assignment
Alanah is picking up two friends to go to a concert. She drives from her house to
pick up Mia, then she drives to pick up Teresa, and then they go to the arena to see
the concert.
The grid shows the coordinates of their houses on a map. All distances are in miles.
16
14
12
10
986
A
N
Alanah
Mia
Arena
Teresa
2 4 6 8 10 12 14 16
Answer the questions to find the total distance of Alanah's trip to the arena.
When necessary, round answers to the nearest tenth.
Answers
To find the total distance of Alanah's trip to the arena, we need to add up the distances of each segment of her trip. We can use the distance formula to calculate the distances between the different points.
First, let's calculate the distance between Alanah's house (A) and Mia's house (M). Using the distance formula, we get:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
distance = sqrt((4 - 2)^2 + (14 - 10)^2)
distance = sqrt(4 + 16)
distance = sqrt(20)
distance ≈ 4.5
So the distance between A and M is approximately 4.5 miles.
Next, let's calculate the distance between Mia's house (M) and Teresa's house (N). Using the distance formula, we get:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
distance = sqrt((14 - 6)^2 + (16 - 12)^2)
distance = sqrt(64 + 16)
distance = sqrt(80)
distance ≈ 8.9
So the distance between M and N is approximately 8.9 miles.
Finally, let's calculate the distance between Teresa's house (N) and the arena. Using the distance formula, we get:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
distance = sqrt((16 - 10)^2 + (8 - 16)^2)
distance = sqrt(36 + 64)
distance = sqrt(100)
distance = 10
So the distance between N and the arena is exactly 10 miles.
Now we can add up the distances of the three segments to get the total distance of Alanah's trip to the arena:
total distance = 4.5 + 8.9 + 10
total distance ≈ 23.4
Therefore, the total distance of Alanah's trip to the arena is approximately 23.4 miles
A farmer is planning to create a new gazing field for his horses. He determines that he needs 280 yards of fencing for his new field. The fencing is sold by the foot. How many feet of fencing should the farmer buy? Explain.
Answers
Answer:
280 yards * 3 feet/yard = 840 fee
Step-by-step explanation:
since the fencing is sold by the foot, we need to convert the given 280 yards to feet in order to determine how much fencing the farmer should buy.
To convert yards to feet, we multiply the number of yards by 3, since there are 3 feet in 1 yard.
280 yards * 3 feet/yard = 840 feet
Therefore, the farmer needs to buy 840 feet of fencing for his new grazing field.
What is 0.06 expressed as a percentage?
Answers
0.06 can be expressed as literally 0.06%
Oh okay I see now, as a fraction you would multiply by 100, so it would be 6 / 100
Answer: 6%
Step-by-step explanation:
if you multiply 0.06 by 100 it gets you 6%
Pls help solve this math
Answers
The constant of proportionality (k) for the graph is 11.7.
The proportional equation for the graph is y = 11.7x.
What is a proportional relationship?In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:
y = kx
Where:
x and y represents the variables or data points.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) for money earned per hour as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 35.1/3 = 81.9/7
Constant of proportionality, k = 11.7.
Therefore, the required equation is given by:
y = kx
y = 11.7x
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Please help me, this is linear equations.
Answers
The slope of line A is 6 and the slope of line B is 2
Line A is greater than the slope of line B
[tex]12x^{2}-17x-5=0[/tex]
Answers
Answer:
Step-by-step explanation:
A triangle has two sides that are 8 cm and 13 cm . What could be the length of the triangles third side?
Answers
Answer:
Third side > 13 - 8 = 5 cm. Therefore, the length of the third side is between 5 cm and 9 cm, respectively.
Step-by-step explanation:
Answer:21>c>5
Step-by-step explanation:
a+b>c>a-b
so,
13+8>c>13-8
21>c>5
In which of the following is the Definition of the Derivative correctly stated? Choose all that apply. Instantaneous rate of change Slope of the secant line Average rate of change Slope of the tangent line
h→0
lim
h
f(x+h)−f(x)
Answers
The Definition of the Derivative correctly stated by
Instantaneous rate of change Slope of the secant line [tex]\lim_{h \to 0}[/tex] f(x+h)- f(x) / hWhat is Derivative?In mathematics, a derivative is the rate at which a function changes in relation to a variable. Calculus and differential equations issues must be solved using derivatives.
As, we know by definition of derivative
= [tex]\lim_{h \to 0}[/tex] f(x+h)- f(x) / h
Also, the Derivative also shows the Slope of the secant line.
and, derivative is widely used to the rate of change then it also shows
Instantaneous rate of change.
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Ricky says each other fractions below would be to the right of one on a number line do you agree? Question choose yes or no.
A. 3/4
B. 5/4
C. 4/2
D. 1/3
Answers
Answer:
Step-by-step explanation:
no because they don't have the same dominator
Andrea works at two different jobs. She works no more
than 40 hours per week combined between the two jobs.
At one job, she makes $12 per hour. At her other job, she
makes $16 per hour. Each week she earns at least $460.
Andrea writes a system of inequalities to represent this
situation. One of her inequalities is shown below.
x+y≤40
What should be the other inequality in Andrea's system
of inequalities?
Answers
Answer:
Second inequality is
12x + 16y ≥ 460
We also have implied inequalities x ≥ 0, y ≥ 0 meaning hours cannot be negative
Step-by-step explanation:
The other equality refers to the earnings
Let x be the hours worked in the first job
Earnings at $12 per hour = 12x
Let y be the hours worked in the second job
Earnings at $16 per hour = 16y
Total earnings = 12x + 16y
This must be at least $460
"at least" means ≥
So second inequality is
12x + 16y ≥ 460
The function f(x) =[tex]2/(x+1)^2[/tex] increases without bound as the values of x approach -1
Answers
The value of the function [tex]\lim_{x \to \ -1} \frac{2}{(x + 1)^{2}}[/tex] is ∞.
What is the limit of the function?A value of the function, whenever the input values are substituted in the function then the function approaches some number.
And that number is a limit of the function.
Given:
A function,
f(x) = 2/{(x + 1)²}
And function increases without bounds as the values of x approach -1.
So,
[tex]\lim_{x \to \ -1} \frac{2}{(x + 1)^{2}}[/tex]
= 2/(x² + 2x + 1)
= 2/{1 + (-2) + 1}
= 2/0
= ∞
Therefore, the function approaches infinity.
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Help Help Help Help Help Help
Answers
no
it doesn't start at (0,0)
find the 7th term of G.P :1/6,1/3,2/3
Answers
Answer:
10 2/3
Step-by-step explanation:
The common ratio is 2. Each term is being multiply by 2 to get to the next term.
To find the 7th term you take the first term and multiply that by the common ratio to the n-1 or 6th power.
[tex]1/6(2)^{6}[/tex] = 10 2/3
Hiking Trails The Farina family spent a week at the state park. Christine hiked the Evergreen trail twice and the Yellow River trail once. Brian hiked each of the three longest trails once. How many more miles did Brian hike than Christine?
Answers
Answer:
Brian hiked 6 1/2 more miles than Christine.
Step-by-step explanation:
Ok. 5.25+4.75+6-2*4.75=6.5 or 6 1/2 more miles.
What is the value of x in this triangle?
Answers
The value of x in the triangle, given the angle measures of the other angles, is D. 100 degrees
How to find the value of x ?To find the value of x, you first need to find the value of the last interior angle in the triangle.
The sum of the interior angles of a triangle would add up to 180 degrees which means that the angle inside would be :
= 180 - 65 - 35
= 180 - 100
= 80 degrees
Angles on a straight line add up to 180 degrees so the value of x, which is on a straight line with 80 degrees, is :
= 180 - 80
= 100 degrees
Find out more on triangles at https://brainly.com/question/29591996
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a student attempted to solve the system 5x+2y=10 and -10x+2y=1 by graphing. the graph and the conclusion are below. what can you say about the students work?
Answers
Answer:
Correct answer below
Step-by-step explanation:
See image below of the two lines graphed and the intersection:
(didn't correctly identify the intersection)
