rewrite the function f(x)=-3(x+3)^2-13
in the form f(x)=ax^2+bx+c

Answers

Answer 1

Answer:

-3x^2-18x-40

Step-by-step explanation:

(x+3)^2: x^2+6x+9

= -3(x^2+6x+9)-13

Expand:

-3(x^2+6x+9): -3x^2-18x-27

= -3x^2-18x-27-13

Final Answer: -3x^2-18x-40

Rewrite The Function F(x)=-3(x+3)^2-13in The Form F(x)=ax^2+bx+c
Answer 2

Answer:

-3x^2-18x-40

Step-by-step explanation:

-3(x+3)^2-13

-3(x^2+6x+9)-13

-3x^2-18x-27-13

-3x^2-18x-40


Related Questions

One pound of candies costs $3.50.

How much will we have to pay for 4.5 lb?

Answers

Answer:

$15.75

Step-by-step explanation:

Multiply the cost of one pound, 3.50 times how many we want, 4.5

3.5×4.5=15.75

Answer: $15.75

Step-by-step explanation:

3.5 x 4.5 = 15.75

Complete the point-slope equation of the line through (-5,7)(−5,7)left parenthesis, minus, 5, comma, 7, right parenthesis and (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis.

Answers

Answer:

The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]

Step-by-step explanation:

Given points are:

(x1,y1) = (-5,7)

(x2,y2) = (-4,0)

Point slope form of equation is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

Here m is the slope

The slope is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values we get

[tex]m = \frac{0-7}{-4+5}\\m = \frac{-7}{1}\\m = -7[/tex]

Putting in the equation we get

[tex]y-y_1 = -7(x-x_1)[/tex]

Putting (-5,7) in the equation

[tex]y - 7 = -7\{x-(-5)\}\\y-7 = -7(x+5)[/tex]

Hence,

The equation of line in point-slope form is: [tex]y-7 = -7(x+5)[/tex]

Answer:

Step-by-step explanation:

3/4x+2-1/3x=12
What is the answer?

Answers

Answer:

x=24 or 25

Step-by-step explanation:

90% is x=24

89.999999 repeat% is x =25

I'm really nervous because I have a big test in 10 minutes; what are your most effective strategies to calm down? any tips?

Answers

Answer:

just focus on breathing and not stressing. dont focus on any last minute revision as this probably wont be useful. try drinking some water


The perimeter of parallelogram ABCD is 46 inches.What is DA?

3in
4in
8in
19in

Please help ASAP no rocky

Answers

Answer:

3

Step-by-step explanation:

10. Anna divided integer A by -3 and got 8. Then she divided 8 by integer B and got -4. Find the quotient of integer A and B. I talling 2020​

Answers

Answer:

cant help uu :(

Step-by-step explanation:

In

L
M
N
,
△LMN,

M


L
,
∠M≅∠L,
L
M
=
7
LM=7 and
N
L
=
16
NL=16. Find the length of
M
N
.
MN.

Answers

Answer:

M=12

Step-by-step explanation:

The required length of MN in the given triangle LMN is 16 units.

What is a triangle?

A polygon with three vertices, angles and sides is called a triangle.

Given that, a triangle △ LMN, where, ∠ M ≅ ∠ L, LM = 7 and LN = 16

Since, ∠ M ≅ ∠ L

Therefore, MN ≅ LN

By the postulate :-

Sides opposite to congruent angles of a triangle are also congruent.

Therefore,

MN = LN

Since, LN = 16

Therefore, MN = 16 [By transitive property]

Hence, the required length of MN in the given triangle LMN is 16 units.

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Is a = 8 a solution to the inequality below? 4 > a -6

Answers

Answer:

yes because the equation will equal 2

Susan's weekly earnings were proportional to the number of hours she worked. This table shows the number of hours Susan worked and
the amount she earned.
Hours
Earnings ($)
5
$57.50
7
$80.50
9
$103.50
11
$126.50
How much money did Susan earn per hour?

Answers

Susan earns $11.50 per hour.

The correct answer is option (D).

What is rate in mathematics?

"It is the ratio or comparison of two related quantities."

What is proportional in mathematics?

"When one quantity is proportional to other quantity, this means with increase in the values of first quantity there is equal increase/decrease in the values of second quantity."

For given situation,

Susan's weekly earnings were proportional to the number of hours she worked.

From given table, we can observe that with increase in the number of hours Susan worked, there in increase in the weekly earnings.

This means, Susan's weekly earnings are directly proportional to the number of hours she worked.

We need to find the amount of money she earn per hour, i.e., to find the ratio of her total earnings and total hours she worked.

Let S represents Susan's total earning and T represents the total number of hours she worked.

⇒ S = 57.50 + 80.50 + 103.50 + 126.50

⇒ S = 368

And T = 5+ 7 + 9 + 11

⇒ T = 32

Now we find the required ratio,

S/T = 368/T

⇒ S/T = 11.5 dollar per hour

Therefore, Susan earn $11.5 per hour.

Hence, option (D)$11.50 is the correct option.

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Identify the slope of the equation: y = 5x + 2 A. 4 B. 2 C. 7 D. 5

Answers

Answer:

5

Step-by-step explanation:

This equation is in y = mx + b form, or, the standard form of a line.

m represents the slope, and b represents the y-intercept. No b means that the y-intercept is 0.

Alina wants to make some yummy sugar cookies today!
The recipe written in her book is:
2 3/4 cup flour + 1 cup butter + 1 1/2 cup sugar + 1 egg + 1 tsp baking soda + 1/2 tsp baking powder = 24 cookies
But Alina has the following ingredients in her kitchen: 9 cups flour, 5 cups butter, 4.5 cups sugar, 8 eggs and a excess of baking soda and powder.
1. How many cookies can she make?
2. Which ingredient is her limiting reactant?
3. Besides, baking soda and powder, how many of each reactant will be left over in her kitchen?​

Answers

Answer:

3.2

Step-by-step explanation:

Segun had #14000 out of which he spent 25%, how much did he spend? ​

Answers

Answer:

$3500

Step-by-step explanation:

25/100 = 0.25

0.25 x 14000 = $3500

Answer:

Step-by-step explanation:

Sengun had 14000

25%of 14000 he spend

=25/100×14000

=3500

He spend 3500

What property illustrated 5+7+9=5+9+7

Answers

Answer:Associative Properties

Step-by-step explanation:

it’s associative property

why is the world so bad

Answers

Answer:

because humans are being evil to mother nature

Answer:

cOrOnAvIrUs

Step-by-step explanation:

Proportional realationships

Answers

Answer:

I honestly don't know umm try yes

Step-by-step explanation:

PLS ANSWER DKSKXJ<33
[tex] \frac{7 + 2x}{3} = 5[/tex]

Answers

Answer:

x is 4 I think

Step-by-step explanation:

I'm not sure I might be wrong

Find the missing angle 72 68

Answers

Answer:

70

Step-by-step explanation:

hdhdyfhcufhxudhxyff

Answer:

Answer is 40

Step-by-step explanation:

every triangle is 180 degrees in total, so add both the given angles and subtrace 180 by the number you got. Brainliest?

It takes Camden 45 minutes to complete 1/5 of his art project. How many hours will it take him to complete the whole project if he works at the same rate? Enter the correct answer in the box.

Answers

Answer:

3.75

Step-by-step explanation:

The quantities x and y are proportional. Y 3 30 10 100 16 160 Find the constant of proportionality (r) in the equation y = rx.
r =​

Answers

Answer:

10

Step-by-step explanation:

1 / 3

What times x gives us y?

Hint 2 / 3

If we multiply each x-value by 10

we get to each corresponding y-value:

y=10x

The constant of proportionality is y= r x is 10

Answer:

The answer is 10

Step-by-step explanation:

What is mZDAR in circle A?
R
B
340
D
B
A
A 56°
B 340
C 68°
D 170

Answers

Answer:

68°

Step-by-step explanation:

Since, angle subtended on the circumference of the circle is half angle subtended on the center of the circle.

[tex] \therefore m\angle DBR = \frac{1}{2} \times m\angle DAR\\\\

\therefore 34\degree = \frac{1}{2} \times m\angle DAR\\\\

\therefore 34\degree \times 2= m\angle DAR\\\\

\therefore 68\degree = m\angle DAR\\\\

\therefore m\angle DAR=68\degree[/tex]

Two cars head toward each other from opposite ends of a freeway 2286 miles long. If the speed of the first car is 68 miles per hour and the speed of the second car is 59 miles per hour, how long will it take before the cars pass each other? hours​

Answers

Answer:

Step-by-step explanation:

multiply 68*59

Determine the solution for the following equation: (8x – 8) = 64
PLEASE HELP

Answers

Answer:

X=9

Step-by-step explanation:

You can take the 8 out making it 8(x-1)=64. Then divide each side by 8, making it x-1=8. Then you add the one on both sides, making it x=9

Tyler is packing his bags for vacation. He plans to pack two outfits for each day of vacation.
Let d = the number of days of his vacation.
Write an expression for the total number of outfits WILL BRIANLIST

Answers

Answer:  2d

=========================================

Work Shown:

d = number of days of his vacation

1 day = 1*2 = 2 outfits

2 days = 2*2 = 4 outfits

3 days = 3*2 = 6 outfits

4 days = 4*2 = 8 outfits

5 days = 5*2 = 10 outfits

and so on.

In general we can say,

d days = d*2 = 2d outfits

d is simply a placeholder or a box where we'll place a number inside. For example, if he's on vacation for d = 7 days, then he'll bring 2*d = 2*7 = 14 outfits.

The expression 2*d is the same as 2d. We can leave out the multiplication sign since having a number next to a variable like this implies multiplication.

The expression for the total number of outfits is 2d

The total number of outfits Tyler plans to pack for his vacation can be expressed as 2 multiplied by the number of days of his vacation, which we'll denote as 'd'. Since Tyler plans to pack two outfits for each day, multiplying 'd' by 2 will give us the total number of outfits.

In this expression, 'd' represents the number of days of Tyler's vacation, and multiplying it by 2 accounts for the two outfits planned for each day. This expression allows us to calculate the total number of outfits based on the length of Tyler's vacation.

For example, if Tyler's vacation is 7 days long, the expression 2d would yield:

2 * 7 = 14

Therefore, Tyler would plan to pack 14 outfits for his 7-day vacation. The expression 2d allows flexibility to calculate the total number of outfits based on the specific number of vacation days.

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Use interval notation to express the set of real numbers $x$ that satisfies the inequality $-2 \leq x < 5$.

Answers

Answer:

[-2, 5)

Step-by-Step Explanation:

The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).          

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the inequality y = {x ; -2 ≤ x < 5}

WE are asked to find the solution set for the given inequality;

⇒ y={x ; -2 ≤ x < 5} i.e domain= [-2, 5)

⇒y=x ∀ x ∈ [-2, 5)

The solution of the given inequality;

x ∈ [-2, 5)

Therefore, The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).          

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Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $6. On Saturday, Rob earned $64 babysitting. How much money did he save?

Answers

Answer:

$24

Step-by-step explanation:

64/16 = 4

4x6 = 24

You deposit $200 in an account. The account earns $15 simple interest in 3 years. What is the annual interest rate?

Answers

Answer:

200=15*3(4.4%) tis 4.4%

Step-by-step explanation:

plsss help 6th grade math

Answers

Answer:  D

Step-by-step explanation:

If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.

What is the surface area of a rectangular prism that measures 10 in x 6 in x 4 in?

Answers

Answer: 240 in

Step-by-step explanation: 10 x 6 x 4 = 240 in

I hope that helps

∠13 and angle _____ are congruent?
a.) ∠9 O
b.) ∠15 E

Answers

Answer:

Angle 13 and Angle 9 are congruent.

The congruent would be angle 13 and 9

Which ordered pair is a solution to the equation y=5x-25?
(12,50)
(5,10)
(2,25)
(10,25)

Answers

Answer:

I'm not sure but i think it is D

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