Sara works in a sports store and earns 12% commission on her sales how much does she make on a bicycle that sold for $785.95

Answer:

9x² + 6x - 5

Step-by-step explanation:

If you mean g(f(x))

g(x) = x² - 6

f(x) = 3x + 1

Then, g(f(x)) = g(3x + 1)

but g(x) = x² - 6

g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6

= 9x² + 6x - 5

Answer:

96

Step-by-step explanation:

3 floors:

3x16= 48windows per building

2 buildings

2x48=96 windows

Answer: 79 ft

Step-by-step explanation:

Given

The angle of elevation is [tex]45^{\circ}[/tex]

Distance of the point from the tree is [tex]79\ ft[/tex]

Suppose h is the height of the tree.

[tex]\Rightarrow \dfrac{h}{79}=\tan 45^{\circ}\\\\\Rightarrow h=79\tan 45^{\circ}\quad [\tan 45^{\circ}=1]\\\Rightarrow h=79\ ft[/tex]

Thus, the height of the tree is 79 ft

Answer:  C. Function composition

Step-by-step explanation:

If we have two functions, we can form a new function by composing one function into the other.  Such functions are known as composite functions.

For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).  

It is generally a function that is written inside another function.

i.e. it is a process of using the output of one function as the input for another.

Thus, the correct option is  C.

The required term:  Function composition

One solution, the answer is x = 0.

Answer:

BC = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

Hope this helps u !!

Answer:

Kaylia = $48,000

Kaylia = $48,000

Keisha = $12,000

Step-by-step explanation:

Karen = 5

Kaylia = 8

Keisha = 2

Total ratio = 5 + 8 + 2

= 15

Estate value = $90 000

Karen = 5/15 × $90 000

= 1/3 × $90 000

= $90 000 / 3

= $30,000

Karen = $30,000

Kaylia = 8/15 × $90,000

= (8 * 90,000) / 15

= 720,000/15

= $48,000

Kaylia = $48,000

Keisha = 2/15 × $90,000

= 180,000/15

= $12,000

Keisha = $12,000

Answer:

8760

Step-by-step explanation:

24*265 = 8760

Answer:

8,760 is the amount of bottles the store has to sell

Step-by-step explanation:

24x365=8760.

Answer:

[tex]x=\sqrt{72}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

13.2 gallons

Step-by-step explanation:

286/260 *12 = 13.2

Answer:

about 13.2 gallons

Step-by-step explanation:

Easy way to calculate.

12 gallons divided by 260 miles

Take that answer and multiply it by 286.

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

[tex]y=mx+b[/tex]            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and [tex]m=15[/tex].

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting [tex]x=10,y=200,m=15[/tex] in (i), we get

[tex]200=15(10)+b[/tex]

[tex]200=150+b[/tex]

[tex]200-150=b[/tex]

[tex]50=b[/tex]

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

Answer:

Probability = 16.7

Step-by-step explanation:

Total marbles 9

Choosing 2 red = [tex]4C_2[/tex]

Choosing 2 marbles from 9 marbles = [tex]9C_2[/tex]

Probability percent of choosing 2 red marbles from 9 marbles

                                                          [tex]\frac{4C_2}{9C_2} = \frac{1}{6} \times 100 = 0.1667 \times 100 = 16.7[/tex]

Answer:

16.6

Step-by-step explanation:

4+3+2=9 marbles

4=red

4/9*3/8=1/6

1/6= 16.6

Answer:

1 real and 2 complex

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some may be complex.

A cubic is a polynomial of degree 3 , then has 3 zeros.

From the graph

There is a real zero at x = 4

Thus the other 2 must be complex

Answer:

180 degrees

Step-by-step explanation:

Two angles are supplementary when they add up to 180 degrees. Therefore, the sum of Angle L and M's measures is equal to 180°.

Answer: 180

Step-by-step explanation: took the test on edge! :)

Answer:

Length = 28 m

Width = 15 m

Step-by-step explanation:

Court is rectangular in shape.

Now, we are told that;

Length is 2m less than twice the width(W) .

Thus;

Length; L = 2W - 2

We are told the perimeter is 86 m.

Formula for perimeter of a rectangle is;

P = 2(L + W)

Thus;

2((2W - 2) + W) = 86

Divide both sides by 2 to get;

(2W - 2) + W = 43

3W - 2 = 43

3W = 43 + 2

3W = 45

W = 45/3

W = 15 m

Thus; L = 2(15) - 2

L = 30 - 2

L = 28 m

Answer:

117

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

You can tell if a function is even if [tex]f(-x)=f(x)[/tex]:

[tex]f(x)=x^2-x+8[/tex]

[tex]f(-x)=(-x)^2-(-x)+8[/tex]

[tex]f(-x)=x^2+x+8[/tex]

Since [tex]f(-x)\neq f(x)[/tex], the function is not even. Therefore, option 1 is the best option.

Answer:

first u will find de L.C.M which is 6

so u will multiply de whole equation by 6 hence

6(x/3)- 6(x-1/ 2) greater or equal to 6(1)

u will then cancel getting de equation to be

2(x)-3(x-1) greater or equal to 6 (1)

now, u will expand de equation

2x-3x+3 greater or equal to 6

now u group like terms

2x-3x greater or equal to 6-3

hint: greater or equal to must be done with it's symbol

so now for de answer, u will get -x greater or equal to 3

wen u get this, u change de operation to be opposite of de current sign

now de final answer becomes

Answer:

a!

Step-by-step explanation:

It's 3^6 because the negatives cancel out

Answer:

It equals 729.

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

adjacent side:

using Pythagoras

hypo² = oppo² + adja²

(√13)² = 2² + adja²

adja²= 13 -4

adja²=9

adjacent side = 3

so tan A= oppo/adja

tan A=2/3

Step-by-step explanation:

Andrea is traveling with her family in the car. If the car is moving at an average speed of 55 miles per hour, how many miles can they travel in 4 hours? Use the formular. t, where r represents the rate, or speed, and t represents the time.

Answer:

[tex]w = \sqrt{x} y[/tex]

Step-by-step explanation:

Formula used :

[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]

[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]

Step-by-step explanation:

a )2x-2

b)6x+9

c)7x+35d

for these type of questions you basically just times the out side number of the brackets by the inside one.

hope this helps u understand:)

Answer:

consider x as the number of hours you work

so, the function that would satisfy this equation is

10x

Answer: x= -2

               x=4

Step-by-step explanation:

Answer:

im pretty sure both x's equal -4

Step-by-step explanation:

(-4 + 3)= -1

(-4 - 1)= -5

-5 x -1=5

When you multiply a negative number times a negative number that will equal a positive number.

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

Work Shown:

a^2+b^2 = c^2

15^2+20^2 = 25^2

225+400 = 625

625 = 625

Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.

Side note: c is always the longest side.

This is required inequality.