The standard form is:
ax² + bx + c = 0Convert each equation:
1. x² + 2x = -1 add 1 to both sides
⇒ x² + 2x + 1 = 0
2. 4 + x² = 7x add - 7x to both sides and rearrange
⇒ x² - 7x + 4 = 0
3. x² - x = 1 add - 1 to both sides
⇒ x² - x - 1 = 0
4. x² + 9x = 10 add - 10 to both sides
⇒ x² + 9x - 10 = 0
5. 4x + 3 = x² add -4x - 3 to both sides
⇒ x² - 4x - 3 = 0
6. x² + 5x = 5 add -5 to both sides
⇒ x² + 5x - 5 = 0
7. 2x² + 7x = 3 add -3 to both sides
⇒ 2x² + 7x - 3 = 0
8. x² = 3x + 8 add -3x - 8 to both sides
⇒ x² - 3x - 8 = 0
9. x(x + 3) = 1 distribute and add - 1 to both sides
⇒ x² + 3x - 1 = 0
10. x² - 3x = -2 add 2 to both sides
⇒ x² - 3x + 2 = 0
11. y² - 7y = -6 add 6 to both sides
⇒ y² - 7y + 6 = 0
12. z² - 5z = -4 add 4 to both sides
⇒ z² - 5z + 4 = 0
Answer: ^^
1. x2 + 2x + 1 = 0
2. x^2 - 7x + 4 = 0
3. x^2 - x - 1 = 0
4. x^2 + 9x - 10 = 0
5. -x^2 + 4x + 3 = 0
6. x^2 + 5x - 5 = 0
7. 2x^5 + 7x - 3 = 0 or 2x^5 + 4x = 0
8. x^2 - 3x - 8 = 0
9. x^2 + 3x - 1 = 0
10. x^2 - 3x + 2 = 0
11. y^2 - 7y + 6 = 0
12. z^2 - 5z + 4 = 0
Step-by-step explanation:
:)
3850 times a 1.3% interest rate for 6 years
"sam places 3850 in a bank account that pays 1.3% simple interest per year and how much interest will she earn in 6 years | Wyzant Ask An Expert" https://www.wyzant.com/resources/answers/646803/sam-places-3850-in-a-bank-account-that-pays-1-3-simple-interest-per-year-an3850
Solve the giving equation 2x-4=24 what’s the first step.
Answer:
Solution,
or, 2x-4=24
or, 2x=24+4
or, 2x=28
or, 2×x=28
or, x=28÷2
or, x=14 (answer)
The solution of the equation is x = 14.
What is an equation?An equation is two algebraic expressions that have the same value and have the equal sign in between them.
We have the equation:
2x-4=24
Adding 4 to the both of side,
2x=24+4
2x=28
Divide by 2 on both side,
x=28÷2
x=14
Therefore, x = 14 is the solution of the equation.
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Given h(x) = -5x - 5, solve for x when h(x) =0
The angle measurements in the diagram are represented by the following expressions
Answer:
∠ B = 126°
Step-by-step explanation:
∠ A and ∠ B are alternate angles and are congruent , then
8x + 78 = 2x + 114 ( subtract 2x from both sides )
6x + 78 = 114 ( subtract 78 from both sides )
6x = 36 ( divide both sides by 6 )
x = 6
Then
∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°
Identify the solution for the system of equations graphed here.
A) (1,1)
B) (-1,1)
C) (1,-1)
D) (-1, -1)
Answer:
c) (1,-1)
Step-by-step explanation:
I hope this helps
After the temperature rose 6°, the thermometer read 64°F.
What is an equation that can be used to find x, the temperature before the 6° increase.
Drag the number, symbol, or operation sign to each box to complete the equation.
Answer: 64 - 6 = x
Step-by-step explanation:
Answer:
64-6=x
Step-by-step explanation:
I took the test.
40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.
A restaurant keeps eggs in a rack that has 5 layers each layer has 5 row with 5 eggs in each row
If a = - 1 and y = 2 what is the value of the expression 2a³ - 3ay?
Answer:
the valve of the expression would be 184
Step-by-step explanation:
Got it right on edge
Cual es el resultado de 12/6?
Answer:
Resultado es dos (2)
Answer:
2
Step-by-step explanation:
I need help quick desperate
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the distance to riverbank b is 100 meters. each ferry starts its return trip as soon as it reaches its destination. when the ferries meet for the second time, the distance to riverbank A is 50 meters. what is the distance between riverbanks a and b? Help I will give 40 points
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2-300x -700000 = 0 quadratic formula yields x = 1000
One boat travels 700 the other 1000 whe they first meet.....width of river = 700+ 1000 = 1700 m
Ms. Apple is expanding her restaurant in Kenton, Oklahoma. She has enough
booths to seat up to 40 people. She is ordering tables for seating to fill the newly
added on space. Each table can seat up to 6 people, and she plans to seat up to 125
people in the dining area. Write an inequality that Ms. Apple can use to determine
the number of tables (1) that she needs to order. How many tables does she need
to order?
Answer:
She needs 16 tables because 40 divided by 6= 8 thne you would do the amout of people and the tables so you would do 125 divided by 8 and you would get 15.625 and if you round it you get 16
5p + 3 = 15 Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
Expressions can be represented as equations, and vice versa.
A possible situation is as follows:
John is 15 years old, and his age is 3 more than 5 times his brother's age
The equation is given as:
[tex]\mathbf{5p + 3 = 15}[/tex]
This means that:
15 represents John's ageP represents his brother's age5 and 3 are the constants that relate their agesRead more about word equations at:
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The equation 5p + 3 = 15 can be used to find Mgbafor's age when Okeke's age is five times Mgbafor's age and in three years time, Okeke will be 15 years old.
The equation 5p + 3 = 15 is a linear equation. The equation must represent a variable which when multiplied by 5 and 3 is added yields 15.
Lets assume that Okeke's age is five times Mgbafor's age In three years time, Okeke will be 15 years old. If i am asked to find Mgbafor's age, the equation to use is 5p + 3 = 15, where p = Mgbafor's age.
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Each year, the students in seventh grade go to an environmental camp. This year, the total cost is $1,580 for 79 students. Which equation represents the cost, y, of attending the camp for x number of students?
Select the correct answer.
y = 20x
y = 79x
y = 79x + 1580
y = 1580x + 79
Answer:
y=20x
Step-by-step explanation:
You have to find the cost by dividing the amount of money by the amount of students, to see house much each student paid. You are finding the unit price. Which is 20 because...
1.580/79=20
In conclusion,
Each student paid $20
How many of the following statements are true?
19)
a
d Any set of ordered pairs is a function.
d The domain of a relation is the set containing the first
member of its ordered pairs.
d The independent variable in a relation is the variable
used for the range.
d A function is a relation in which each domain value is
paired with exactly one range value.
A) 1
B) 2
C) 3
D) 4
Answer:
A) 1
Step-by-step explanation:
yeah-ya,.................. right?
Follow the steps to finish solving the equation -3x +18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
x=
Answer:
18/10
Step-by-step explanation:
got it right.
1) A butcher has an annual income of $58,612. The income tax the butcher has to pay is 7%. What is the amount of income tax in dollar and cents the butcher has to pay? A) $3,108.53 B) $3,712.66 C) $4,102.84 D) $4,364.79
Answer:
C. $4,102.84
The amount of income tax in dollars and cents the butcher has to pay if A butcher has an annual income of $58,612 is $4102.84 so, option C is correct.
What is the percentage?The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
A butcher has an annual income of $58,612,
The tax = 7%,
Calculate the amount of the tax as shown below,
The amount of the tax = 7% of $58,612
The amount of the tax = 7 / 100 × 58612
The amount of the tax = 0.07 × 58612
The amount of the tax = 4102.84
Thus, the amount of tax is $4102.84.
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2. At a rate of 50 mph, a car travels a distance
of 600 miles. How far will the car travel at
a rate of 40 mph if it is driven the same
amount of time?
Answer: 480 miles
Step-by-step explanation:
first you divide 600 by 50 and thats the amount of hours.
600 / 50 = 12
then multiply 40 x 12 and you got your answer. :)
40 x 12 = 480 therefore your answer is 480
a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?
a hiking trail marks every 1/4 of mile along the path if the trail is 22 miles how many markers will the trail have?
Answer:
88 markers long just take 22 and divide it by .25
need help with 7 urgently!!!
Answer:
1x
Step-by-step explanation:
Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop carrying case is $65. If n represents the cost of her old laptop carrying case, which proportion can be used to find n?
Answer:
C
Step-by-step explanation:
Because don't know old laptop cost.
So 65 dollars represent 100% and n(old case) represents 125%.
A textbook store sold a combined total of 236 history and physics textbooks in a week. The number of history textbooks sold was three times the number of physics textbooks sold. How many textbooks of each type were sold
Answer:
Step-by-step explanation:
Let H and P represent the number of history and physics textbooks.
We are told that:
1) H + P = 236/week, and
2) H = 3P [A disgrace, but that's a different problem]
We can substitute the definition of H in the second equation into the first:
H + P = 236/week
3P + P = 236/week
4P = 236
P = 59
H = 3P, so H = 3*(59) or 177
59 Physics and 177 History books for a total of 236 books sold that week.
A graph representing a proportional relationship goes through the origin:
Question 2 options:
Always
Sometimes
Never
When it feels like it
The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).
Recall:
A proportional relationship graph represents a relation between two variables that are directly proportional to each other.In a proportional graph, the constant of proportionality, k, remains the same.The graph attached below shows a proportional graph between time and water used.In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.
Therefore, the graph representing a proportional relationship ALWAYS goes through the origin (0, 0).Learn more about proportional relationship on:
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Which of the following statements is NOT true?
it wont let me loo at it sorry but it seems easy.
Find the range of the graphed function.
- 10
10
-10
O A. yis all real numbers.
B. y: 0
OC. -6 sys 9
OD. -10 sys
Answer:
The answer is C
Step-by-step explanation:
The range of the function plotted on the graph is [-6, 9].
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the graph of a function shown in the image.
Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].
Therefore, the range of the function plotted on the graph is [-6, 9].
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the first term of an arithmetic sequence is a b and the second term is a c. What is the explicit formula to find the nth term of the sequence?
Step-by-step explanation:
every new term is created by adding a constant (I call here x) to the previous term.
a1 = b
a2 = c = a1 + x = b + x
a3 = a2 + x = a1 + 2x = b + 2x
so, we see
an = a1 + (n-1)x = b + (n-1)x
from a1 and a2 we know
c = b + x
x = c - b
so, ultimately we have
an = b + (n-1)(c-b)
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term of an arithmetic sequence is b and the second term is c.
a₁ = b
a₂ = c
Then the common difference is given as,
d = a₂ - a₁
d = c - b
Then the explicit formula to find the nth term of the sequence will be given as,
aₙ = b + (n - 1) × (c - b)
aₙ = b + cn - c - nb + b
aₙ = cn - nb + 2b - c
The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.
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solve pls brainliest
Answer:
sorry, I cant help... i am not able to see the picture
Step-by-step explanation:
