Convert the following quadratic equation to standard form:

y= -2(x+3)^2+1

Answers

Answer 1

Answer: -2x^2-12x-17

Step-by-step explanation:

-2(x+3)^2+1 Original equation

-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)

-2x^2-12x-18+1 Multiply the factored part by -2

-2x^2-12x-17 Combine like terms


Related Questions

Your job as investigator is to determine who caused this accident. Is the driver responsible , or is the farmer responsible? Read the accounts of the accident, and then answer the following questions 1. Why is the driver unhappy? According to the driver, what caused the accident? (4 points)

Answers

The driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

What is stopping distance?

Stopping distance can be defined as a measure of the distance between the time when a driver applies a break to stop a vehicle that is in motion and the time when the vehicle completely comes to a stop.

In this scenario, I would say that the driver is responsible for this accident because if she wasn't moving at a high speed, her stopping distance would be very minimal. Thus, she would be able to bring her vehicle to a stop without colliding with or crashing into the fence, immediately she sighted the cows.

Also, I can deduce that the driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

Read more on drivers here: https://brainly.com/question/26084890

Find the measures of the angles marked with letters.​

Answers

Step-by-step explanation:

7.

[tex]180 - 2(50) = \\ = 180 - 100 = \\ = 80[/tex]

9.

[tex]180 - 100 = 80 \\(180 - 80) \div 2 = \\ = 100 \div 2 = 50[/tex]

Help me please I don’t know this

Answers

the answer is the number will have to be less than 11 which means that it is a. 9
sorry if it is incorrect.

For the function y=1/2x-3, what is the input value if the output value is 0.

Answers

Answer:55

Step-by-step explanation:

You spin the spinner shown below once
The spinner has 4 equal sectors colored pink, purple, blue, and green
What is the probability of landing on Blue?

Answers

Answer:

1/4

Step-by-step explanation:

there are 4 colors meaning each one has a 1/4 chance

( 2x + 5 ) + ( 3x - 7

Answers

Answer:

5x-2

Step-by-step explanation:

2x+3x=5x

5-7=-2

Answer:

5x+-2

Step-by-step explanation:

(2x+5) + (3x-7)

2x+3x=5x

5-7=-2

5x-2

Solve for r. r + 36 = 50

A. r = 36
B. r = 86
C. r = 14
D. r = 50

Answers

Answer:

c. r=14

Step-by-step explanation:

r+36=50

subtract 36 from both sides

r+36-36=50-36

r=14

If me and my husband want to save 75000 over the next 13 years and I make 25 dollars and hour and he makes 12 dollars an hour how do I write this in a word problem involving a system of equations

Answers

Answer:

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

Use the information to answer the following question. Ms. Huynh spent $640 to stay in a hotel for four nights. Each night she spent x dollars on the hotel room as well as a $15 parking fee per day. The equation represents the total amount, in dollars, that Ms. Huynh spent on her hotel. 4(x + 15) = 640 How much money did the hotel room cost for one night, excluding the parking fee? A. $163.75 B. $145.00 C. $175.00 D. $156.25

Answers

Answer:

B. $145.00

Step-by-step explanation:

4(x+15)= 640

or, 4x+60=640

or, 4x = 640-60

or, 4x = 580

or, x = 580/4

x= 145

Using the following data, what is the Interquartile Range? $20, $50, $70, $80, $30, $60, $20, $70, $70, $90

Answers

Answer:

$60

Step-by-step explanation:

sorry if I'm wrong ^-^

Answer:

its 46

Step-by-step explanation:

What is the volume of the following rectangular prism?

Answers

i am pretty sure it is 16

Given the isosceles trapezoid below, find AG.
Show all the work

Answers

We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

[tex]40 - 24 = 16[/tex]

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]

[tex]\frac{16}{2} = 8[/tex]

Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:

[tex]AG^{2} + GT^{2} = AT^{2}[/tex]

[tex]AG^{2} + 8^{2} = 10^{2}[/tex]

[tex]AG^{2} + 64 = 100[/tex]

[tex]AG^{2} = 36[/tex]

[tex]AG = 6[/tex]

Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?

Answers

Answer:

the mean is $80

Step-by-step explanation:

Please help!!!!! I’ll mark you as brainliest!!!!!!

Answers

Answer:

The answer is 7440

Answer:

$7740

Step-by-step explanation:

60,000×12,4%=$7740

la raiz cuadrada de 100?

Answers

Answer:

Por tanto, la raíz cuadrada de 100 es 10. 2. Elementos de la raíz. El número 36 es el cuadrado de 6.

Step-by-step explanation:

monke is the answer to the question no doubt

3, 12, 22, 33, 45, 58, 72, ?

Answers

Answer:

Step-by-step explanation:

So this is a quadratic sequence.

3, 12, 22, 33, 45, 58, 72

 9   10   11    12   13   14  

9, 10, 11, 12, 13, 14

 1    1    1    1    1

This means the next one must be 15 so

3, 12, 22, 33, 45, 58, 72, x

 9   10   11   12   13   14   15

x= 72+15

x= 87

Megan and Devon are working together in science class to build a terrarium for an herb garden. The plan for the terrarium, with some dimensions in centimeters (cm), is shown here. What is the volume of the terrarium?



27,000 cubic centimeters because 30 x 30 x 30 = 27,000


54,000 cubic centimeters because 30 x 30 x 60 = 54,000


81,000 cubic centimeters because 30 x 30 x 30 + 30 x 30 x 60 = 81,000


48,600,000 cubic centimeters because 30 x 30 x 30 x 30 x 60 = 48,000,00

Answers

Answer:

The answer would be 81,000

Step-by-step explanation:

Answer:

The answer is 81,000

Step-by-step explanation:

If you multiply 30x30x30+30x30x60=81,000

confused plz help me <3

Answers

Answer: the answer is a

Step-by-step explanation:

Answer:

the answer is A

because translating is just shifting

what is the simple intrest on $160 invested at 7% per year for three years​

Answers

Answer:

130.6 apporexiatly

Step-by-step explanation:

t years, s simple interest, r rate.

.

s(r/100+1)^t

.

x(1.07)^3 = 160

.

x = 130.6

Write the explicit formula for the arithmetic sequence below and use it to find the 52nd term: 25, 19, 13, 7

Answers

Answer:

[tex] \displaystyle \:a_n=- 6n + 31[/tex]

[tex] \displaystyle \:a_{52}= - 281[/tex]

Step-by-step explanation:

we are given some numbers

25,19,13,9

and said to figure out the sequence and 52 term

recall arithmetic sequence

[tex] \displaystyle \: a + (n - 1)d[/tex]

where a is the first term and d is the common difference

let's figure out d

[tex] \displaystyle \:d = 19 - 25 \\ d= - 6[/tex]

and a is 25

now we need to substitute the value of a and d and simplify to get our formula

substitute the value of a and d:

[tex] \displaystyle \: 25 + (n - 1) (- 6)[/tex]

distribute -6:

[tex] \displaystyle \: 25 + ( - 6n + 6)[/tex]

remove parentheses:

[tex] \displaystyle \: 25 - 6n + 6[/tex]

simplify addition:

[tex] \displaystyle \: - 6n + 31[/tex]

so our formula is -6n+31

remember here n means nth number term

we are said to figure out 52 number term

so

substitute the value of n:

[tex] \displaystyle \: - 6.52 + 31[/tex]

simplify multiplication:

[tex] \displaystyle \: - 312 + 31[/tex]

simplify addition:

[tex] \displaystyle \: - 281[/tex]

Pi is used when calculating which of the following

Answers

Answer:

Cicumference, area, diameter, and radius.

Step-by-step explanation:

You asked, I answered.

Hope this helped! :)

Find the equation of the line
Use exact numbers
In y=mx+b form

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

m = 3 because the slope rises 3 and runs 1, therefore 3/1 = 3

b = 3 because the y-intercept is (0,3), therefore y-int = 3

y = 3x + 3

In the figure shown, what is the measure of the indicated angle? ​ °

Answers

Answer:

105 degrees

Step-by-step explanation:

Since there mus tbe 180 degrees in a triangle 180-80=100 and then -25 is equal to 75. since the line is 180 degrees, 180-75 = 105

In parts ​(a) through ​(e)​ below, mark the statement True or False. Justify each answer.

​(a) In some​ cases, a matrix may be row reduced to more than one matrix in reduced echelon​ form, using different sequences of row operations.
Is this statement true or​ false?
A. The statement is false. Each matrix is row equivalent to one and only one reduced echelon matrix.
B. The statement is false. For each​ matrix, there is only one sequence of row operations that row reduces it.
C. The statement is true. It is possible for there to be several different sequences of row operations that row reduces a matrix.
D. The statement is true. The echelon form of a matrix is always​unique, but the reduced echelon form of a matrix might not be unique.

Answers

Answer:

The correct option is option A

A. The statement is false. Each matrix is row equivalent to one and only one reduced echelon matrix

Step-by-step explanation:

The matrix in echelon form is not in a unique form, as such row reduction can yield an infinite amount of answers. However a row reduced echelon form is unique and will give the same answer in every order that the row operation is performed

The statement is false. Each matrix has only one unique row echelon form, therefore, the correct option is option A.

What is the value of the expression below when x=3?
8x + 6
will mark Brainliest if answer is CORRECT​

Answers

Answer:

x=3

8*3+6=30

hope its right

Answer:

30

Step-by-step explanation:

So when they give us an anwser or a number that we can possibly plug in, its pretty simple. In our case we got the information that x=3. So if we ever see x in the expression, then we can plug in the information that they gave us into the expression. Let's view the expression, we can notice that there is once  x that's being multiplied with 8. And since x is 3 we can do 8x3 and then add the 6 so the expression will look like 8(3)+6 which you solve and get 30.

Isolate the y-variable in the equation 2x + y = 7.
Answer please like ASAP

Answers

Answer:

y=-2x+7

Step-by-step explanation:

You just subtract 2x from both sides to get y alone

Answer:

2x + y = 7

y = 7 -2x

Step-by-step explanation:

Shirt is $45 but is on sale for 20% off. What is the discount

Answers

Answer:

$15 dollars off so the original price is $60!!!

Step-by-step explanation:

Answer:

$36

Step-by-step explanation:

45 x 0.20

= 9

Total price - sale

= 45 - 9

= 36

given f(x) = X^2 – 5x + 6 state discriminant # of solutions

Answers

The discriminate formula is b^2+4ac so -5^2+4(1)(6)=49

Brenda's car averages 375 miles for each 15 gallon tank of gas. How many tanks of gas
will she use on an 1125 mile road trip?

Answers

Answer:

3

Step-by-step explanation:

We know that she uses one tank of gas every 375mi, so we can just divide.

1125 / 375 = 3

To check our work we can just multiply.

375 x 3 = 1125.

So she uses 3 tanks on the trip. I hope this helps :)

Please help ASAP !!!!!

Answers

Answer:

alright alright give us a second

27x to the 3rd power

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