Evaluate f(a+2)for f(x)=x^2-9

Answer: hey I actually just finished learning about this in math.

Step-by-step explanation: the graph is a function, because it passes the vertical line test

Answer:

[tex]a=-\frac{1}{8}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Write the vertex form and then solve for

The general equation is:

[tex]y = a(x - h)^2 + k[/tex]

From the attachment, the vertex is at:

[tex](h,k) = (24,50)[/tex]

i.e.

[tex]h = 24; k= 50[/tex]

Considering point:

[tex](x,y) = (4,0)[/tex]

i.e.

[tex]x=4;y=0[/tex]

Substitute these values in [tex]y = a(x - h)^2 + k[/tex]

[tex]0 = a(4 - 24)^2 + 50[/tex]

[tex]0 = a(- 20)^2 + 50[/tex]

[tex]0 =a(400) + 50[/tex]

[tex]0 = 400a + 50[/tex]

Solve for a

[tex]400a = -50[/tex]

Make a the subject

[tex]a=-\frac{50}{400}[/tex]

[tex]a=-\frac{1}{8}[/tex]

Answer:

y = a(x - h)^2 + k

h = 24, k = 50, x = 4, y = 0

0 = a(4 - 24)^2 + 50

0 = a(-20)^2 + 50

0 = a(400) + 50

0 = 400a + 50

400a = -50

a = - 50/400

a = - 1/8

Step-by-step explanation:

that's what i put copy and paste

Answer:

2 mugs

Step-by-step explanation:

He made 2/3rds quarts of hot chocolate, and needs to fill 1/3 quart mugs.

2/3 ÷ 1/3 = 2

Answer:

e(to the power of 9)

Step-by-step explanation:

when you multiply variables with exponents, you have to add the exponents together.

Hi there!

Answer:   [tex]\huge\boxed{\ e^9}[/tex]

Explaination:

  1. e^5 multiplied by e^4 = e^(5 + 4) = e^9

Hope this helps!

Answer:

2

Step-by-step explanation:

That is the only valid reflection across line e.

Answer:

2

Step-by-step explanation:

When an image is reflected over a line the triangles are positioned the same way and the distance from the line is the same therefore your answer is 2

Answer:

-6 and -10

Step-by-step explanation:

First find two numbers that multiply to 60 and add up to 16

these numbers are 6 and 10

then write the numbers in factored form: (x+6) (x+10)

Then set each one equal to zero and solve to find the zeros of the function

x+6=0 --> x=-6

x+10=0 --> x=-10

the zeros of the function are -6 and -10

Hope this helps!

Answer:

x-3y-7=0

Step-by-step explanation:

Dont care bruuhh

Answer: should be 3/5

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

75 ÷ 25

125 ÷ 25 if im wrong sorry

The ratio of 75m : 125cm in its simplest form is 60 : 1.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Two similar quantities.

We know 75m = 75×100 = 7500 cm.

Therefore, The ratio between them is,

7500 : 125.

1500 : 25.

300 : 5.

60 : 1.

learn more about proportion here :

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Answer:

$506.025

Step-by-step explanation:

$750 - 25% = $750 - $187.5

$562.25 - 10% = $562.25 - 56.225

Answer:

Each book costs $18.

Step-by-step explanation:

$155 - 11 = $144 left

$144/8 books = $18 per book

Hope this helps!

Answer:

155 minus the 11 she still had means she spent 144.

144 divided by 8 books comes to $18 per book, on average.

Answer:

256.76inch²

Step-by-step explanation:

area of square = side × side

6.4 × 6.4 = 40.96

number of squares = 6

6×40.96=256.76

Answer:

f(n) = -34 -3(n - 1)

Step-by-step explanation:

The explicit formula for f(n) is given below:

Given that

f(1)= -34

f(n)=f(n−1) - 3

Based on the above information

f(n) = a1 +d(n -1)

a1 = -34

d = -3

So

f(n) = -34 -3(n - 1)

This above represent an explicit formula

Answer:

D

Step-by-step explanation:

Answer:

80 square feet

Step-by-step explanation:

I hope this helps a little bit.

Answer:

Given points are ( 6, -2 ) and ( 12 , -2 )

Step-by-step explanation:

Slope of line ( m )

y2-y1

---------

x2-x1

= (-2 + 2)/ 12-6

Step-by-step explanation:

the slope is 0

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

did the equation = 0

Answer:

The answer is 35cm squared :D

Step-by-step explanation:

Answer:

The answer is 35! I just did it, and it's 35!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Total number of cards = 65

she makes the same number of cards everyday for 7 days

Number of days = 7

Cards per day = 65 / 7 = The result is 9 with a remainder of 2.

This means, she makes 9 cards per day for 7 days. Then on the last day she is left with 2 cards to make.

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

Answer:

i think it's "c" if u check y=6 x= 2

Step-by-step explanation:

so if u insert 2 in the formula c you get 6

Answer:

168.96

Step-by-step explanation:

21.12 x 8 = 168.96

Answer:

$2.26

Step-by-step explanation:

21.12/8

just divide

Answer:

43.2

Step-by-step explanation:

first turn 2 1/2 into an improper fraction

(2 × 2) + 1 = 5

5/2

then turn 5/2 into a fraction

5 ÷ 2 = 2.5

now divide!

108 ÷ 2.5 = 43.2

Number equivalent to 108/2 1/2 is 43.2 .

Given,

108 divided 2 1/2

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

108/2 1/2

= 108 / (5/2)

= 43.2

Hence the answer is 43.2

Know more about division,

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Answer:

Value of ending inventory = $97,650

Step-by-step explanation:

Full costing is a costing method that consider all the costs including all variable and fixed costs in determining the cost of producing products or services.

From the question, we have the following:

Total variable manufacturing costs per unit = $11.00

Fixed manufacturing overhead per year = $233,550

Number of snow shovels produced during the year = 51,900

Number of snow shovels sold during the year = 46,500

Therefore, we have:

Total variable manufacturing costs incurred during the year = Total variable manufacturing costs per unit * Number of shovels produced during the year = $11.00 * 51,900 = $570,900

Based on full costing, we have:

Total cost of producing snow shovel during the year = Fixed manufacturing overhead per year + Total variable manufacturing costs incurred during the year = $233,550 + $570,900 = $804,450

Production cost per unit = Total cost of producing snow shovel during the year / Number of snow shovels produced during the year = $804,450 / 51,900 = $15.50

Number of ending inventory = Number of snow shovels produced during the year - Number of snow shovels sold during the year = 51,900 - 46,500 = 6,300

Value of ending inventory = Number of ending inventory * Production cost per unit = 6,300 * $15.50 = $97,650

Answer:

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The formula for trying to find the area of a circle is Area= r^2

Sooo:

Area=3.14 x 18 x 18

18 x 18 is the first part of the equation

=324

Then:

3.14(pi) x 324 = 1017.36 = 1017 ft2

Answer:

2600

Step-by-step explanation:

2314 ÷ 89% = 2600

2314 is 89% of 2600.

Answer: 1/3

Step-by-step explanation:

From the point (-1,0) you go to the right one square, and up 3 squares to get to the next point on the graph that the line goes through (0,3).