Let f and g be inverse functions. Find f(g(8)).

Answer:

(16x + 8)m²

Step-by-step explanation:

area of a rectangle = 2length + 2width

=2(3x + 5) + 2(5x-1)

=6x + 10 + 10x - 2

=(16x + 8)m²

Answer:

9

Step-by-step explanation:

Add nine to both sides:

[tex]6x = 54[/tex]

Divide by six:

[tex] \frac{6x = 54}{6} [/tex]

[tex]x = 9[/tex]

Answer:

x = 9

Step-by-step explanation:

I hope this helps!

Answer:

x+3x-15=13

4x=28

x=7

......

Answer:

[tex]y = 3x - 15 \\ \\ to \: find \: x \: substitute \: y \: into \: 0\\ \\ 0 = 3x - 15 \\ - 3x = - 15 \\ divide \: both \: sides \:by \: - 3 \\ \\ x = 5[/tex]

Answer:

Yes. When computing the sample standard deviation, divide by n −1. When computing the population  standard deviation, divide by N

Step-by-step explanation:

its 4

x=4

[tex]4^{2}[/tex]-2x4

16-8

=8

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

                Hi my lil bunny!

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Let's solve your equation step-by-step.

[tex]x^2 - 2x = 8[/tex]

Step 1: Subtract 8 from both sides.

[tex]x^2 - 2x - 8 = 8 - 8\\x^2 - 2x - 8 = 0[/tex]

Step 2: Factor left side of equation.

[tex]( x+2) ( x - 4) = 0[/tex]

Step 3: Set factors equal to 0.

[tex]x + 2 = 0[/tex] or [tex]x - 4 = 0[/tex]

[tex]x = -2[/tex] or [tex]x = 4[/tex]

Answer : -2 , 4

     ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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         Have a great day/night!

                    ❀*May*❀

Answer:

7.4

Step-by-step explanation:

400 ÷ 54 =7.407407...

7.407407... rounded to the nearest tenth is 7.4

I hope this helps... and plz mark me brainliest!!!

Answer:

i think its very interesting and pretty cool,  because there is so much to learn  and so much to explore

i wouldn't like the fact that you have to study so much though

Step-by-step explanation:

[tex]x+y=12\\\dfrac{x}{y+3}=\dfrac{1}{2}\\\\x=12-y\\2x=y+3\\\\2(12-y)=y+3\\24-2y=y+3\\3y=21\\y=7\\\\x=12-7=5\\\\\dfrac{x}{y}=\dfrac{5}{7}[/tex]

Answer:

1.) 3 shovels/7 buckets

2.)7 buckets/3shovels

Answer:

[tex]\large \boxed{\sf \bf \ \ x^2-6x+45 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

You need to develop the expression.

[tex]y=(x-3)^2+36\\\\=x^2-2 * 3 * x +3^2+36\\\\=x^2-6x+9+36\\\\=x^2-6x+45[/tex]

Thank you.

Answer:

D

Step-by-step explanation:

Answer:

A. 48

Step-by-step explanation:

There is a diameter of the circle through point O. The bottom right angle is an inscribed and that intersects a diameter, so its measure is 90 deg.

a + 90 + 42 = 180

a + 132 = 180

a = 48

The measure of angle 'a' is 48°.

We need to find the measure of 'a'.

Angles are formed by drawing lines from the ends of the diameter of a circle to its circumference from a right angle.

There is a diameter of the circle through point O. The bottom right angle is inscribed and that intersects a diameter, so its measure is 90°.

Now, a + 90°+ 42° = 180°

⇒a + 132°= 180°

⇒a = 48°

Therefore, the measure of angle 'a' is 48°.

To learn more about the circle's theorem visit:

https://brainly.com/question/19906313.

#SPJ5

Answer:

[tex]\huge\boxed{Exterior\ angle = 70\°}[/tex]

Step-by-step explanation:

The measure of exterior angle is equal to the sum of opposite interior angles.

So,

Exterior angle = 43+27

Exterior angle = 70°

Answer:

Step-by-step explanation:

70% of students are female

70/100* 75%= you get your answer

then subtract the percentage of the males and the females and then you get your answer

Answer:

y=-¼x+⁴⁴/8

Step-by-step explanation:

p(2,-6). Q(-6-4)

p (x¹,y¹). Q(x²,y²)

1) find the gradient(slope)

gradient=y²-y¹

x²-x¹

gradient = -4-(-6)

-6-2

gradient= -4+6

-6-2

gradient=²/-8

2)equation is supposed to be in the form of y=mx+c

where m is the gradient

thus.

gradient=y²-y¹

x²-x¹

when finding the equation we only use one of the values of the coordinates leaving the other as an unknown value.

2 = y-(-4)

-8 x-(-6)

2 =y+4

-8. x+6

remove the denominators by cross multiplying that is:

2(x+6)= -8(y+4)

2x+12= -8y-32

express in the format y=mx+c

2x+12+32=-8y

2x+44=-8y.

divide all sides by -8 to remain with y

²/-8x+⁴⁴/-8=y

-¼x+ -⁴⁴/8=y

y=-¼x-⁴⁴/8

Answer:

I think it should be (C)

Answer:

B

Step-by-step explanation:

The fastest way to solve this would to plug in a number for x such as 1 in both equations to find which 2 are equivalent.

When you plug 1 into the top equation it equals 3.5, so now we need to find the correct equation below that equals 3.5 when 1 is plugged in for x.

When you plug 1 into equation B you are also left with 3.5.

Answer:

The function is y = -6 / x.

Step-by-step explanation:

Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:

3 = a / (-2)

3 * (-2) = a / (-2) * (-2)

-6 = a so the function is y = -6 / x.

Answer:

slope is 5

Step-by-step explanation:

y = 5x

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 5 and the y intercept is 0

Answer:  [tex]\sqrt{5} /7[/tex]

Step-by-step explanation:

5/4 is not an irrational number because it is already in a fraction the same as 1/8 and 3/5.

The square root of 5 is not rational because it cannot be converted to a fraction or in other words is not a perfect square.

Answer:√5 / 7

Step-by-step explanation:

Answer:

  10x

Step-by-step explanation:

The height on the left is the same as the height on the right:

  (2x -y) +(y) = (2x)

  2x = 2x . . . . . not particularly helpful

The width across the top is the same as the width across the bottom:

  3x = (y) +(4x -2y)

  y = x . . . . . . . . add y-3x to both sides

The perimeter is the sum of side lengths. Working clockwise from the top, that is ...

  P = 3x +2x +(4x-2y) +y +y +(2x -y) = 11x -y = 10x

The perimeter is 10x. (or 10y, if you like)

Answer:

w>10

length = 40

Step-by-step explanation:

Let

Width=w

Length=4w

Perimeter is less than 100 inches

Perimeter of a rectangle= 2( Length + width)

100 < 2(4w+w)

100 < 8w+2w

100 < 10w

w > 10

Length =4w

=4 × 10

=40 inches

Answer:

5/2l <100

Step-by-step explanation:

PLATO

Answer:

(4x + 5)²

4x² + 20x + 25

Step-by-step explanation:

Step 1: Factor 16x² + 40x + 25

(4x + __)(4x + __)

What multiplies to 25 and adds up to 40 with 4 multiplied as coefficient?

(4x + 5)(4x + 5) or (4x + 5)²

Step 2: Factor perfect square trinomial

36x² - 4x + 16 --> 4(9x² - x + 4) No

16x² - 8x + 36 --> 4(4x² - 2x + 9) No

25x² +9x + 4 --> 25x² + 9x + 4 No

4x² + 20x + 25 --> (2x + 5)(2x + 5) or (2x + 5)² Yes

Answer:

(4x + 5)(4x + 5).

4x^2 + 20x + 25.

Step-by-step explanation:

16x^2 + 40x + 25

= (4x + 5)(4x + 5)

= (4x + 5)^2.

36x^2 − 4x + 16: To be a perfect square trinomial, the factors would have to be (6x + 4) or (6x - 4). Since the value of b is only -4, this is NOT a perfect square trinomial.

16x^2 − 8x + 36: To be a perfect square, factors would have to be (4x + 6) or (4x - 6). Since the value of b is only -4, this is NOT a perfect square.

25x^2 + 9x + 4: To be a perfect square, factors have to be (5x + 2) or (5x - 2). Since b is positive, factors would be (5x + 2)(5x + 2) = 25x^2 + 20x + 4. 20x is not equal to 9x, so this is NOT a perfect square.

4x^2 + 20x + 25: Perfect square would have to have factors (2x + 5) or (2x - 5). b is positive, so factors are (2x + 5)(2x + 5) = 4x^2 + 10x + 10x + 25 = 4x^2 + 20x + 25. This IS a perfect square!

Hope this helps!

Answer:

The correct option is;

C. Transformation

Step-by-step explanation:

In mathematics, transformation refers to the relocation of an object called the pre-image from initial position to another new location at which point the object will be known as the image whereby there is a one to one mapping from each point on the pre-image to the image

The types of transformation includes reflection, rotation, and translation which involve changes in position and dilation, which involves changes in the size of the pre-image.

Answer:

Step-by-step explanation:

6):

Take the small right triangle with the sides 25 and 7.

☆ The Pythagorian theorem ☆

Let x be the third side.

● 25^2 = x^2 + 7^2

Substract 7^2 from both sides

● 25^2 -7^2 = x^2 +7^2 -7^2

● x^2 = 25^2 -7^2

● x^2 = 576

● x = 24 inches

The third that we find is the half of the side of the square.

Multiply it by 2 and get the side of the square.

● 24 × 2 = 48 inches

The perimeter of the square is the side times 4.

● P = 48 × 4

● P = 192 inches

■■■■■■■■■■■■■■■■■■■■■■■■■■

7):

Both triangles are righr and they have a khown angle.

Start with the small one and calculte the third angle.

The sum of a triangle angles is 180°

Let B be the third angle.

● B = 180-(90+51) = 39°

That's equal to the second angle of the second's triangle.

So it's an AA similarity.

So:

● x/24 = 7/15

● x = (7/15)×24

● x = 11.2

Answer:

False

Step-by-step explanation:

False - one has nothing to do with the other. None of the data points can lie on the regression line,

and you can have the coeff. of determination be 0.5.

Answer:

x = 3

Step-by-step explanation:

Given two secants drawn from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

x(x + 21) = (x + 1)(x + 1 + 14)

x² + 21x = (x + 1)(x + 15) ← expand using FOIL

x² + 21x = x² + 16x + 15 ( subtract x² + 16x from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Answer:

1. The Additive Inverse Property

2. Zero Product Property

Step-by-step explanation:

In the first step, we can see that we ad 4 and -4 to get to 0.

4 and -4 are opposites, and because of the Additive Inverse Property, they equal 0.

In the second step, we can see that we multiply y by 0. According to the Zero Product Property, anything multiplied by zero will equal 0.

Hope this helped!

Answer:

3 cups of walnuts

Step-by-step explanation:

Step 1: We have a ratio of 1 cup of walnuts to 1 cup of walnut muffins

1:1

Step 2: We are given 3 batches of walnut muffins

?:3

Step 3: We know this is a 1 to 1 ratio

3:3

Therefore you will need 3 cups of walnuts to make 3 batches of muffins

Answer: [tex]x=4[/tex]

Simplify both sides of the equation.

[tex]-7x+8=-4(x+1)\\-7x+8=(-4)(x)+(-4)(1)(Distribute)\\-7x+8=-4x+-4[/tex]

Add 4x to both sides

[tex]-7x+8+4x=-4x-4+4x\\-3x+8=-4[/tex]

Subtract 8 from both sides

[tex]-3x+8-8=-4-8\\-3x=-12[/tex]

Divide both sides by -3

[tex]-3x/-3=-12/-3\\x=4[/tex]

Answer:

x=4

Step-by-step explanation:

Let's first simplify the equation.  

-7x+8= -4x-4                    

You get -4x-4 by distributing the -4 into the numbers in the parenthesis because -4 is right outside the parenthesis.

-4 times x= -4x

-4 times 1= -4

-7x+8= -4x-4

Next, move the -4x to where the -7x is because we want to combine like terms.  When a number moves to the opposite side, it changes from positive to negative or negative to positive.  Like here: -4x moves to a different side, so it becomes +4x.  

-7x+4x+8= -4  

Do the same for 8.  Since -4 is on the other side, move 8 to that side.  It turns from +8 to -8.

-7x+4x= -4-8

Combine like terms and solve.  

-7x+4x= -3x

-4-8= -12

So we have this now: -3x= -12

Since 12 divided by 3 is 4, and negative with negative is positive, it becomes positive 4. :)