15+20x=18+20x
20x+15=18+20x
2. then you want to rearrange the terms again:20x+15=18+20x
20x+15=20x+18
3.Subtract 15 from both sides of the equation:20x+15=20x+18
20x+15-15=20x+18-15
4.Simplify:1.subtract the numbers
20x=20x+3
5.Subtract the 20x from both sides of the equation:20x=20x+3
20x-20x=20x+3-20x
6.Simplify1.combine like terms
0=3
or x=3Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.
1. The slope of f(x) is smaller than the slope of g(x)
2. The lines represented by f(x) and g(x) are parallel.
3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).
4. The y-intercept of f(x) is smaller than the y-intercept of g(x).
5. The values of f(x) and g(x) are the same at x = 3
Answer:
4. 5. 3. are correct im pretty sure
Step-by-step explanation:
Statements 1, 2, and 3 about f(x) and g(x) are "true".
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below.
x : 1 3 5 7 9
g(x): 3 7 11 15 19
Here the slope of the function g(x) is 2.
This means statements 1 and 2 are false because slopes are different.
To compare the position of the lines at the x-axis, you can evaluate the function at x=0. f(0) = 3×0 - 2 = -2 and g(0) = -1.
Since g(0) is less than f(0), the line represented by g(x) crosses the x-axis to the right of the line represented by f(x). So, statement 3 is true.
The y-intercept of f(x) is -2, while the y-intercept of g(x) is 1. So, statement 4 is true.
To compare the values of f(x) and g(x) at x=3, you can evaluate the functions at x=3. f(3) = 3×3 - 2 = 7 and g(3) = 7. So, the values of f(x) and g(x) are the same at x=3. So, statement 5 is true.
Therefore, the true statements are 2, 3, and 4.
Learn more about the functions here:
brainly.com/question/12431044
#SPJ6
Write an equation of the line in slope-intercept form
(-1,0) (-5,0)
Answer:
if there are no typos, line is y=0
Step-by-step explanation:
slope intercept form is y=mx+b
m= slope
b= y intercept
slope is found by y2-y1 / m2-m1
so using the points (-1, 0) and (-5, 0)
(0-0) / (-5 - -1)
= 0/ -4
= 0
m=0
y=0x+b
plug in a point to find b
0=0*-1 +b
b=0
The line is just y=0
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A major technology startup company is growing incredibly fast. The company
started with just 4 employees, but is tripling its amount of staff every year. How
many people will be working for the company in 8 years?
Answer:8748
Step-by-step explanation:
Tripled per year = x3
1st year 4
2nd year 4 x 3 = 12
3rd 12 x 3 = 36
4th 36 x 3 =108
5th 108 x 3 = 324
6th 324 x 3 = 972
7th 972 x 3 = 2916
8th 2916 x 3 = 8748
State if the following graph is discrete or continuous.
Please help me
Answer:
the graph is continuous
plzzz help meeWhich of these copper wires has the
highest resistance?
A 0.5 mm diameter, 10 cm long
B 0.5 mm diameter, 20 cm long
C 1.0 mm diameter, 10 cm long
D 1.0 mm diameter, 20 cm long
Answer:
A. option is your answer.... hope it helps you friend ❤️.....and please follow mepls help asap!!!!!!!!!!!!!
Answer:
Number 2
Step-by-step explanation:
I can explain if needed to, since you said asap ill tell u the answer rq
As Evin is driving her car, she notices that after 1 hour her gas tank has 7.25 gallons left and after 4 hours of driving, it has 3.5 gallons of gas left in it. What is the rate at which her car is using gas.
Answer:
7.25 per hour
Step-by-step explanation:
1 point
8
At a store, toothbrushes cost x dollars and
bars of soap cost y dollars. One customer
bought 2 toothbrushes and 1 bar of soap
for $11. Another customer bought 6
toothbrushes and 5 bars of soap for $38.
Both amounts do not include tax. How
much does each toothbrush and each bar of
soap cost?
a) toothbrushes: $4.25 soap: $2.50
b) toothbrushes: $3.00 soap: $4.00
c) toothbrushes: $4.50 soap: $2.25
d) toothbrushes: $2.50 soap:
$4.25
e) toothwrushes: $4.00 soap: $3.00
Each of the letters of the word "CHANCE" is written on a slip of paper and one slip is randomly drawn. What is the probability of drawing a letter "C" ?
Answer:
6 letters in CHANCE
So, 1/6
Step-by-step explanation:
inverse of f(x) =e^2x- 4
Answer:
f−1(x)=ln(x+4)/ 2
Step-by-step explanation:
this was a crossword puzzle given to me but i dont know how to solve crossword puzzles... help
Answer:
Across Down
1. y = 30 1. y = 35
2. x = 25 3. x = 4
5. y =9 4. x = 10
6. x = 12 7. x = 24
8. x = 11 9. x = 140
10. x = 25 11. x = 17
12. y = 8 13. x = 28
Step-by-step explanation:
You solve for the given variable then fill the box with the answer (assuming only numbers, each number gets a box. You don't put any numbers on the red boxes, only white)
Order from greatest to least. Question 1 options: 3/4 -27/32 −0.851⎯⎯⎯⎯⎯⎯ - 0 . 851 ¯ 0.875 0.053571428⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ 0 . 05 3571428 ¯ 0.2⎯⎯ 0 . 2 ¯ -11/28
Step-by-step explanation:
question 1.
[tex]\frac{3}{4}\\-0.851\\-\frac{27}{32}[/tex]
question 2
[tex]0.053571428\\\- 0.875\\\\- 0 . 851[/tex]
question 3
[tex]0.05 3571428\\\\-11/28\\\\-0 . 2[/tex]
Students rent buses and vans for a trip to Disneyland. There were 12 buses and 8 vans and 360 students. A) write an equation to show the relationship described above. B) if there are 12 students on every van, how many kids are on each bus?
Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.
Answer:
Yes he is right. He has to move one step behind to get an award.
Step-by-step explanation:
Here is the full question:
Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
To answer the above question, we already know that Diego is standing in the 23rd position and it is said that every 12th customer will get a free slice of carrot cake. Therefore, those on position 12, 24, 36, 48, . . . will get this award. Simply put, those in positions that are multiples of 12.
Since Diego is thinking of moving farther backwards to get an award, then he is right. Also, he has to move just one step behind to be in a multiple of 12, that is move from 23 to 24, to get an award.
(6a+42)+(8a+72)=?
.
.
Answer:
14a+114
Step-by-step explanation:
Answer:
14a+114
Step-by-step explanation:
Since everything is addition you can ignore the parenthesis. So you have 6a+42+8a+72. Now you add the like terms, (6a+8a)+(42+72)=14a+114. Which is your answer!
If you can figure this out you get brainliest.
Answer:
the answer is F: 6 because you add all the numbers together and then divide by the amount of numbers in the problem
Step-by-step explanation:
Answer:
6 is the answer cause when you add it all up it equals 60 then divide by how many numbers there were and that was 10 numbers so 60÷10=6
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.
What is the least number of cars she can wash to buy the headphones?
a. 14x+30 ≥ 240
B. 14x+30 ≤ 240
C.30x+14 ≥ 240
D. 30x+14 ≤ 240
Explain your reasoning and solve equation:
Answer:
A is the correct equation to use when solving this problem
The least number of cars she can wash is 15
Step-by-step explanation:
If "'x" is the number of cars Emilia washes, then we would need to multiply that by the amount of money she gets from each car which means that "14x" needs to be in the equation somewhere. From this, we can already rule out C and D because those don't have "14x".
Also, since it says that Emilia needs at least $240, that would mean that she needs $240 or higher. Since the sign in equation A shows that, we know that it is equation A.
Since Emilia needs $240 or higher, the least number of cars she could wash would need to give her enough money to get to $240 when added to the $30 Emilia already has. We can multiply 14 by 15 to give us 210 which when added to the $30 she already has, will give us $240 which is the minimum amount of money she needs to buy new headphones.
(I'm sorry this is so confusing. I'm not good with words but I hope this helped)
Write the equation of the line that connects the set of data points!helppp
Given:
The set of data points on the graph.
To find:
The equation of line that connects the set of data points.
Solution:
From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let as consider the line passes through (20,40) and (50,60), then the equation of line is
[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]
[tex]y-40=\dfrac{20}{30}(x-20)[/tex]
[tex]y-40=\dfrac{2}{3}(x-20)[/tex]
Multiply both sides by 3.
[tex]3(y-40)=2(x-20)[/tex]
[tex]3y-120=2x-40[/tex]
Isolate variable terms.
[tex]-2x+3y=120-40[/tex]
[tex]-2x+3y=80[/tex]
Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].
I need help with this
Step-by-step explanation:
income income earned working 5 hours is $50
Find the area of a square with radius of 10
Can someone write an equation out of X= -4 Y= -8 Z= 3
Answer:
2y + 4z = x
Step-by-step explanation:
Given
[tex]x = -4[/tex]
[tex]y = -8[/tex]
[tex]z = 3[/tex]
Required
Write an equation that which is true for the above parameters
This question will be answered using trial by error method and the solution is not limited to one equation.
One equation that matches the values above is:.
[tex]2y + 4z = x[/tex]
To check:
Substitute the values of x, y and z in the above equation.
[tex]2y + 4z = x[/tex]
[tex]2 * -8 + 4 * 3 = -4[/tex]
[tex]-16 + 12 = -4[/tex]
[tex]-4 = -4[/tex]
Hence,
Because both sides of the equation are one and the same (-4), [tex]2y + 4z = x[/tex] is true for the above values of x, y and z.
Collect like terms
2y - y
Answer:
The answer is y
Step-by-step explanation:
2y−y
=2y−1y
=2y+−1y
=y+y+−y
=y
Finn read 43 pages of his book in an hour
and a half. How many minutes would it take
to read 135 pages?
135 /43 = 3.14
60 * 3.14 = 188.4 minutes
Anybody know this question
Here as by the given information ,
♦ sinA = Opposite/Hypotenuse
♦ cosA = Adjacent/Hypotenuse
♦ TanA = Opposite/adjacent
So here we need to find the same for angle B so we need to use the same formulas for angle B also .
→ sinB = Opposite/Hypotenuse = 12/13
→ cosB = Adjacent/Hypotenuse = 5/13
→ tanB = Opposite/Adjacent = 12/5
Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns 3 more per hour than Gabe. How much money will he earn after the following hours: 4, 8 ,12 and 16
Answer:
1.
- Gabe earns 13.5 per hour
2.
x ------------------ 4 ---- 8 --------- 12 ------ 16
Earnings ----- 57 ---- 111 ------- 165------ 219
Step-by-step explanation:
See attachment for complete question
Solving (a): Gabe's earnings per hour,
To do this, we simply calculate the slope (m) of the table.
[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]
Where
[tex](x_1,y_1) = (3,40.5)[/tex]
[tex](x_2,y_2) = (6,81.0)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]
[tex]m = \frac{81 - 40.5}{6 - 3}[/tex]
[tex]m = \frac{40.5}{3}[/tex]
[tex]m = 13.5[/tex]
Hence, Gabe earns 13.5 per hour
Solving (b): Jordan earnings
First, we calculate the equation of Gabe's table using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 13.5[/tex] and [tex](x_1,y_1) = (3,40.5)[/tex]
[tex]y - 40.5 = 13.5(x - 3)[/tex]
[tex]y - 40.5 = 13.5x - 40.5[/tex]
[tex]y = 13.5x[/tex]
If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;
[tex]y = 13.5x + 3[/tex]
When x = 4
[tex]y = 13.5*4 + 3 = 54 + 3 = 57[/tex]
When x = 8
[tex]y = 13.5*8 + 3 = 108 + 3 = 111[/tex]
When x = 12
[tex]y = 13.5*12 + 3 = 162 + 3 = 165[/tex]
When x = 16
[tex]y = 13.5*16 + 3 = 216 + 3 = 219[/tex]
What is the area of this figure?
8 in.
Enter your answer in the box.
16 in
7
20 in
Which of the following is a rational number?
Answer:
B
Step-by-step explanation:
when you solve B you get 15 and for all the other ones you get a non-terminating decimal
You found a great deal on CDs for gifts! You were
able to buy 12 CDs for $15! What was the cost per
CD?
Answer:
80 cents per cd
Step-by-step explanation:
when finding that answer you divide 12/15 which equals .8
v= u + at
u=2 a= -5 t=1 half
What’s the value of v?
Answer:
Prime number
Step-by-step explanation: because it doesn't have a value so yeah its a prime number.
Answer:
V = 0.5
Step-by-step explanation:
V = u + at
If U = 2, a = -5, and t = 1/2, then you can replace these in the equation to make the equation: V= 2 + (-5 x 1/2)
Solve the parenthesis first. -5 times 1/2 is -2.5.
Now the equation is V= 2 + -2.5
Simplifying that even more, 2 + -2.5 is 0.5
Therefore, V = 0.5
Hope this helped!
the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.
Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]
The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
