9. The length of a rectangle is 6 inches more than its width. If the perimeter of the
rectangle is 24 inches, find its dimensions

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

The product of two functions=f(x)·g(x)=fg(x)

Use FOIL method to simplify expression.

 f(x)·g(x)

=(4x²+13x-12)·(x+4)

=4x³+16x²+13x²+52x-12x-48

=4x³+29x²+40x-48

Answer:

1

Step-by-step explanation:

h(-2)=-3(-2)-5

h(-2)=6-5

h(-2)=1

h(-2)=1

x=-2, but i'm assuming you want h(x)

Answer:

ok hold on ima do it step by step

Answer:

[tex]3x-y=14[/tex]

Step-by-step explanation:

To convert an equation into standard form, we want to get into the form [tex]ax + by = c[/tex].

If we have [tex]y=3x-14[/tex], our first step is to get the x term on the left side. We can do this by subtracting 3x from both sides.

[tex]-3x + y = -14[/tex]

I find it easier now to just divide both sides by -1, so that we have a more consistent equation.

[tex]3x - y = 14[/tex]

Hope this helped!

Step-by-step explanation:

[tex]slope = \frac{11 - 5}{4 - 2} \\ = \frac{6}{2} \\ = 3[/tex]

Answer:dap

Step-by-step explanation:

Answer: it’s 28 for sure

Step-by-step explanation:

Answer:28

Step-by-step explanation:

Answer:

I think it's 2 to 4. i advise you should xheck utube for tue explanation

2a + 2b = c

Subtract 2a from both sides

2b = -2a + c

Divide both sides by 2

b = -a + (c/2)

Answer:

3x^2 - 3x - 3

Step-by-step explanation:

Plug in the equations in place of the variables

First, subtract k(x) from h(x)

x^2+1-x-2  (combine like terms)

x^2 - x -1

Next, multiply the new equation by 3

3(x^2 - x - 1)     Use distributive property

= 3x^2 - 3x - 3

Answer:

Step-by-step explanation:

H

Answer:

20

Step-by-step explanation:

y=mx+b

m=slope

y=20x-250

Answer:

I hope it will help you :)

Answer:

9/20

Step-by-step explanation:

Step 1:

1/4 + 1/5

Step 2:

5/20 + 4/20

Answer:

9/20

Hope This Helps :)

Answer

9/20

Step by Step

I got this by turning the 1/4 into a 5/20 and then turned the 1/5 into a 4/20 and then added from there

5/20+4/20=9/20

You have to turn the fractions denominator into the same number by finding the lowest common denominator.

Answer:

B) y=x+2; y=5

Step-by-step explanation:

The rules that define the graphed function are y = x + 2; y = 5

The function is a piecewise function

There are two lines on the graph.

The first line has the following points

(0,2) and (3,5)

Express 2 and 5 as a sum of 2

(0,0 + 2) and (3, 3 + 2)

This means that the y value is the sum of 2 and the x value.

So, we have:

y = x + 2

The other line has a constant value of 5 for all x values

So, we have:

y = 5

Hence, the rules that define the graphed function are y = x + 2; y = 5

Read more about piecewise functions at:

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Answer:

C

Step-by-step explanation:

it's a complex polygon

Answer: BCF

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain is from x to x.

You can use a ruler to determine it:

Put ruler perpendicular to X-axis at the left end. Move the ruler slowly along X-axis to the right.

When the ruler touch the graph there the x is the beginig of the domain.

Move along to the right. When the ruler touches end of graph there the x is end of the domain.

The filled dot means < >, and the empty dot means ( ).

Answer:

2

Step-by-step explanation:

I hope this helps you :)

Answer:

2

Step-by-step explanation:

Anything divided by 2 is half of itself. So 600 ÷ 300 would technically be 300. But in division we count the amount of times a number can go into the other number. So 600 divided by 300 is 2.

Answer:

6 quarters and 9 nickels

Step-by-step explanation:

alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer

..

1) first we need to know how to write it.

___=___+___

1.95 is the full value of all of the coins so it goes here. (___)=___+___

1.95=___+___

We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___

1.95=.25q+___

we will put the value of the nickel here ___=___+(___)

1.95=.25q+.05n

now that we know how to write it, we can move onto step two.

2) figuring out what variable n is

n=___

Since we know that there are three more nickels than quarters, we can start to solve this equation.

n=q+3

3) change (n) to (q+3). dont forget to use parenthesis!

1.95=.25q+.05(q+3)

4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.

1.95=.25q+.05(q+3)

                  .05*q= .05q and .05*3=.15

1.95=.25q+.05q+.15

5) add variables together.

1.95=.30q+.15

6) subtract .15 from both sides to get rid of it.

1.95=.30q+.15

-.15            -.15

1.80=.30q

7) divide .30 from both sides to isolate the q and get the answer of quarters

1.80=.30q

/.30 /.30

6=q

8) add three to the number of quarters to get the number of nickels.

6+3=9 nickels

Here we need to create and solve a system of equations to find the number of coins in the piggy bank.

We will see that there are 6 quarters and 9 nickels.

let's define the variables:

x = number of nickels in the piggy bank

y = number of quarters in the piggy bank.

Knowing that the total value of the coins in the piggy bank is $1.95, then we have:

x*$0.05 + y*$0.25 = $1.95

We also know that there are 3 more nickels than quarters, then we also have:

x = y + 3

Then the system of equations is:

x*$0.05 + y*$0.25 = $1.95

x = y + 3

To solve this, we can see that x is isolated in the second equation, so we can replace it in the other equation to get:

(y + 3)*$0.05 + y*$0.25 = $1.95

Now we can solve this for y:

y*$0.05 + 3*$0.05 + y*$0.25 = $1.95

y*$0.30 + $0.15 = $1.95

y*$0.30 = $1.95 - $0.15 = $1.80

y = ($1.80)/($0.30) = 6

So we have 6 quarters.

Then the number of nickels is given by:

x = y + 3 = 6 + 3 = 9

x = 9

There are 9 nickels.

If you want to learn more, you can read:

https://brainly.com/question/20067450

Answer:

its b

Step-by-step explanation:

The vertical line (V) and horizontal line (H) intersect at point C are V: x = 5.5; H: y = –2.5 option (D) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

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

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

From the graph,

The coordinate of point C is (5.5, -2.5)

The vertical line (V) and horizontal line (H) intersect at point C are:

x = 5.5 (Vertical line)

y = -2.5 (Horizontal line)

Thus, the vertical line (V) and horizontal line (H) intersect at point C are V: x = 5.5; H: y = –2.5 option (D) is correct.

Learn more about the straight line here:

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Answer:

9x

Step-by-step explanation:

3x + 6x

= 9x

Answer:

This is really easy:

Answer: 9x

Step-by-step explanation:

Just add the numbers first:

3 + 6 = 9

And because they both have a x you are able to combine those two making it:

9x

Hope this helps :)

Answer:

[tex] \boxed{\sf 3x + 10} [/tex]

Step-by-step explanation:

Simplify the following:

⇒-9 x + 12 x + 10

Grouping like terms:

⇒(12 x - 9 x) + 10

12 x - 9 x = 3 x:

⇒3 x + 10

Answer:

39052 ends in 2, hence it is divisible by 2. But (3+9+0+5+2) = 19, which is not divisible by 3.

Answer:

Step-by-step explanation:

to check a number is divisible by 3. add all the numbers and check whether it is divisible by 3

=3+9+5+2

=19

so it is not divisible

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

3x - 4 = 2x + 1

Step 2: Solve for x

Subtract 2x on both sides: x - 4 = 1

Add 4 on both sides: x = 5

Answer:

x=5

Step-by-step explanation:

3x-4=2x+1----> you subtract 2x on both sides---->x-4=1 -----> then add 4 on both sides and you get---> x=5. Hope it helped.