2. Find(f/g)(x) when f(x) = 6x2 + 12x and g(x) = 2x2 + 8x + 8. Show your work.

Answer:

the solutions are _2 and 3/4 so the answer is option D

Answer:

2

Step-by-step explanation:

Answer:

5x+9=39

5x=39-5

5x÷5=30÷5

x=6

Answer:

24 inches

Step-by-step explanation:

Answer:

7.5 or 7 1/2

Step-by-step explanation:

since in the original you divide by 4 and multiply by 5,

the same rule applies for the second.

6/4=1.5x5=7.5

Answer:

linearly because the  table shows that the daisies increased by the same amount each month

Step-by-step explanation:

Answer:

Linearly, because the table shows that the daisies increased by the same amount each month

Step-by-step explanation:

Take the second term and subtract the first term for the output

13.1 -10 = 3.1

Do the same for the third and the second

16.2 -13.1 = 3.1

And the fourth and third

193. -16.2 = 3.1

This is a linear increase since we add the same amount each time

Answer:

9.1

Step-by-step explanation:

what is the length of x of the side of the triangle below?

Answer:

21 flowers

Step-by-step explanation:

because if dora can plant 18 plants then Charlie can plant 21 flowers

Check the picture below.

so we know the radius of the semicircle is 2 and the rectangle below it is really a 4x4 square, so let's just get their separate areas and add them up.

[tex]\stackrel{\textit{area of the semicircle}}{\cfrac{1}{2}\pi r^2}\implies \cfrac{1}{2}(\stackrel{\pi }{3.14})(2)^2\implies 3.14\cdot 2\implies 6.28 \\\\\\ \stackrel{\textit{area of the square}}{(4)(4)}\implies 16 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{sum of both areas}}{16+6.28=22.28}~\hfill[/tex]

Answer:

neither when you multiply them you get -3y+15 not 12

hope this helps

have a good day :)

Step-by-step explanation:

ln(2e/x)

ln2+ ln e -ln x

ln 2 + 1 - ln x

OPTION D is the correct answer

Answer:

40.79 degrees

Step-by-step explanation:

Hope this helps

from the diagram the opposite is 4.9 and the hypothenus is 7.5

then sin x = 4.9/7.5

x = sin inverse of ( 4.5/7.5)

x = 40.79

Answer:

Undefined

Step-by-step explanation:

This equation is just a vertical line, so the slope is undefined.

Answer:

wheres the photo

Step-by-step explanation:

[tex]x = \frac{ac + b}{2c - ab} [/tex]

Refer to the attachment for step by step explaination.

Answer:

[tex]x=\frac{b+ax}{2c-ba}[/tex]

Step-by-step explanation:

When given the following expression, one is asked to solve for (x):

[tex]\frac{2x-a}{b}=\frac{ax+1}{c}[/tex]

Use cross products to rid the variable in the denominator,

[tex]c(2x-a)=b(ax+1)[/tex]

Simplify, distribute, multiply every term in the parenthesis by the term outside of it,

[tex]2xc-ac=bax+b[/tex]

Inverse operations, collect all terms with variable (x) on one side of the equation:

[tex]2xc-ac = bax + b\\\\2xc - bax = b + ac[/tex]

Factor, remove a like term that exists in both of these expressions,

[tex]x(2c-ba)=b+ax[/tex]

Inverse operations,

[tex]x=\frac{b+ax}{2c-ba}[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The center of dilation is point S, so S' is at the same location. The other points move to 5/3 of their distance from S.

Answer:

j/3

Step-by-step explanation:

quotient is division

j/3

Answer:

Step-by-step explanation:

In order for lines to be parallel they have to have the same slope. The first 2 equations there are solved for 5y, so let's do that to the last one--solve it for 5y--and put them all in the same order (the order that the first one is in; they will all look identical then). Equation #2 in the same order as in #1: 5y = 3x - 4. Equation #3 then becomes 5y = 3x - 1. Equations #2 and 3 have the same slope.

Answer:

26

Step-by-step explanation:

Let x represent the missing number

[tex] 8\frac{11}{15} = 7\frac{x}{15} [/tex]

Convert both fractions to improper fractions

[tex] \frac{131}{15} = \frac{105 + x}{15} [/tex]

Cross multiply

[tex] 15(105 + x) = 15(131) [/tex]

[tex] 1,575 + 15x = 1,965 [/tex]

Subtract both sides by 1,575

[tex] 15x = 1,965 - 1,575 [/tex]

[tex] 15x = 390 [/tex]

Divide both sides by 15

[tex] x = \frac{390}{15} [/tex]

x = 26

Answer:

243.

Step-by-step explanation:

they are multiplying by -3.

3x(-3)= -9

-9x(-3)= 27

27x(-3)= -81

so you would do -81x(-3) which equals 243.

Answer:

See problem 1 below.

Step-by-step explanation:

Problem 1.

1. <A, <D

Given

2. <1, <3

Given

3. BC is congruent to BC

Congruence of segments is reflexive.

4. ABC, DBC

AAS

Answer:

z = 22

Step-by-step explanation:

z - 16 = 6

z = 22

Hope this helped!

Algebra

z-16=6

z=22

what your problem in word form is saying is that sixteen less from z equals out to 6.

Answer:

8.7 m

Step-by-step explanation:

Hi there!

[tex]5^2+h^2=10^2[/tex]

To find the height of the building, we need to isolate h on one side of the equal sign. We will do this by performing inverse operations to both sides (ex. the inverse of addition is subtraction, the inverse of multiplication is division, etc.)

Firstly, we can simplify both sides by squaring 5 and 10:

[tex]25+h^2=100[/tex]

Now subtract both sides by 25 to cancel it out on the left side and isolate h²:

[tex]25+h^2-25=100-25\\h^2=75[/tex]

Now, take the square root of both sides to isolate h:

[tex]\sqrt{h^2} =\sqrt{75} \\h=8.7[/tex]

Therefore, the height of the building is 8.7 m when rounded to the nearest tenth.

I hope this helps!

Answer:

Option C

4w + 4(8)

=4w + 32.

Answer:

x = 46.8

Step-by-step explanation:

I assume you are trying to find the value of x.

[tex]5x=234.[/tex]

To find x, divide the answer by the coefficient. The quotient is the value of 'x.'

[tex]234/5=46.8[/tex]

Therefore, 46.8 is the value of x.

Remember: Whenever you see a coefficient and a variable together—5x, 7y, 3t—this means to multiply them.

Answer:

$639

Step-by-step explanation:

$450 * .14 = 63

63 * 3 = 189

450 + 189 = 639

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

Explanation:

That calculation you wrote out would only apply if each lamb ate 1 full bale of alfalfa.

Instead, each lamb eats 1/8 of a bale. So you'll divide the 1596 value by 8 to get 1596/8 = 199.50

This is the same as saying (1/8)*1596 = 0.125*1596 = 199.50

---------------------

Or we can think of it like this

1 day = 1/8 bale of alfalfa

168*(1 day) = 168*(1/8 bale of alfalfa)

168 days = 21 bales of alfalfa

This says that one lamb will eat 21 bales of alfalfa over the course of 168 days

At $9.50 per bale, the total cost for one lamb is 9.50*21 = 199.50 dollars

This cost applies to one lamb only. So if you had say 3 lambs overall, then you'd multiply that by 3.

Answer:                                                                    

14 and 1

Explanation:

14 + 14 + 1 + 1 = 30

14 x 1 = 14

The perimeter is the sum of all 4 sides. Divide the perimeter in half fo the some of one length and one width:

Length + width = 15

Area is length x width

Find 2 numbers that when added equal 15 but when multiplied equal 14

15 + 0 = 15, 15 x 0 = 0

14 + 1 = 15, 14 x 1 = 14

The answer is 14 ft long by 1 ft wide

Answer:

i don't now to arrange thats