Refer to the isosceles trapezoid shown. Find x

Step-by-step explanation:

5x can also be written as " -3x + 8x " so:

[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]

Using the distributive property:

[tex]x(x-3)+8(x-3)[/tex]

Then again, using the distributive property (but in reverse):

[tex](x-3)(x+8)[/tex]

The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.

For eg (because that was a bit text heavy):

The product of the last term and the first coefficient (1 * (-24)) is -24

the factors of -24 include (and their sum)

-1, 24 (23)

1, -24 (-23)

-2, 12 (10)

2, -12 (-10)

-3, 8 (5)

3, -8 (-5)

-4, 6 (2)

4, -6 (-2)

The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.

Answer:

12x-8 ______

Step-by-step explanation:

The second bit, I have no clue. But the first is just simplifying in algebra.

Answer:

Step-by-step explanation:

Putting value of x = - 3 in the equation

f(x) = x2 - x

f(-3) = (-3)^2 - (-3)

= - 9 + 3

= - 6

Answer: B

x = -6

HOPE THIS HELP

Answer:

17

Step-by-step explanation:

2x + 5 + 3x + 90 = 180, 5x=85, x=17

the answer to ur question is 18

Answer: 25 PERCENT

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

There are 4 colors, probability of red or yellow:

P(red or yellow) = 2*1/4 = 1/2

And a cube faces 1 to 3:

P(1 to 3) = 3*1/6 = 1/2

Probability of the two events above:

1/2*1/2 = 1/4 = 25%

Answer: the first one is exponential and the second one is function

Answer: 13n + 20

Step-by-step explanation:

The cost of each book is $13. That means that if you end up buying "n" books, cost would be:

= Cost of each book * number of books

= 13 * n

= 13n

You would also get charged a flat rate for shipping of $20 which would be added to the above cost to bring a total of:

= 13n + 20

Answer:

Step-by-step explanation:

Simplifying

7x = -3x + -60

Reorder the terms:

7x = -60 + -3x

Solving

7x = -60 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

7x + 3x = -60 + -3x + 3x

Combine like terms: 7x + 3x = 10x

10x = -60 + -3x + 3x

Combine like terms: -3x + 3x = 0

10x = -60 + 0

10x = -60

Divide each side by '10'.

x = -6

Simplifying

x = -6

Answer:

4

Step-by-step explanation:

5 times 4 (20) + 7 times 4 (28) + 3 times 4 (12) = 60

Answer:

the only solution is 0

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2(x+3)=2x+6

Multiply 2 with the numbers in the parenthesis

2x+6=2x+6

Answer:

400 minutes

Step-by-step explanation:

20 *5 = 100

she needs 100 minutes to paint 1 wall

so for 4

100*4 =400 minutes

Answer: B

Step-by-step explanation:

Answer:

The answer is 2.

Step-by-step explanation:

Step-by-step explanation:

f(x)=8(5x-2)

interchanging the role of x&y

x=8(5y-2)

f-1(x)=(x+16)/10

The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40.

A function's inverse can be thought of as a reverse of the function.

For instance, if y = f(x), then x = f will be the inverse (y).

It implies that we must swap x and y in the inverse function.

As per the given,

f(x)=8(5x-2)

Interchange the variable y and x as,

⇒ x = 8(5y - 2)

⇒ x+16=401y

⇒ y = (x+16)/40

Put y =  [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)[/tex] =(x + 16)/40

Hence "The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40".

For more information about the inverse of a function,

brainly.com/question/2541698

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Answer:

Either c or d

Step-by-step explanation:

Answer:

33500

Step-by-step explanation:

Let x= his wage in 2018

we know that

1.09*x= 36515

Solve for x (by dividing both sides by 1.09)

get 33500

Answer:the area is 28.27

Step-by-step explanation:

im just that good

The value of cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

To evaluate cos(17π/6), we can use the unit circle and the properties of cosine.

First, let's determine the reference angle.

The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.

The angle 17π/6 is greater than 2π, which means it completes more than one full revolution around the unit circle.

To find the reference angle, we can subtract 2π (or 12π/6) from 17π/6:

17π/6 - 12π/6 = 5π/6

Now, we can evaluate the cosine of the reference angle (5π/6).

In the unit circle, the reference angle 5π/6 corresponds to the point (cos(5π/6), sin(5π/6)).

The cosine value is represented by the x-coordinate of this point.

For the reference angle 5π/6, the x-coordinate is -√3/2.

Therefore, cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

For similar question on trigonometric functions.

https://brainly.com/question/6904750

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Question: How do you evaluate

cos

(17π/6)

Answer:

B.x<25

Step-by-step explanation:

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

3(x+3)>4(x−4)

Step 1: Simplify both sides of the inequality.

3x+9>4x−16

Step 2: Subtract 4x from both sides.

3x+9−4x>4x−16−4x

−x+9>−16

Step 3: Subtract 9 from both sides.

−x+9−9>−16−9

−x>−25

Step 4: Divide both sides by -1.

−x/ −1 > −25/ −1

x<25

Answer:

x<25

Answer: 4 3 2 1 anything less than 5

Step-by-step explanation:

Answer:

X has to be bigger than 2 and smaller than 12

Step-by-step explanation:

For a triangle to be possible no side can be bigger than the sum of the other two.

Since 5 + 7 = 12, x has to be smaller than 12.

Since x + 5 => 7, x has to be bigger than 2.

Both conditions written:

2>X>12

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Answer:

5,004,300

Step-by-step explanation:

Answer:

D

Answer:

ans no b if you will apply the formula

Step-by-step explanation:

i think it's no b

Answer:

222.33 ft^2

Step-by-step explanation:

The formula to find the area of a triangle with two sides and an included angle is:

A=[tex]\frac{1}{2}[/tex]absin(C),

where a and b are the two sides and C is the angle in between.

Area=[tex]\frac{1}{2}[/tex]*32*19*sin(47)≈222.33

222.33 ft^3

Answer:

The answer is 48

Step-by-step explanation:

Substrac 180-132 and that's the answer

Answer: M < -3

.................................................

Step-by-step explanation:

4 - 3m > -5

4 - 3m > (-4 -5)

3m > -9

(3/3)m > (-9/3)

m<-3

Answer:

4

Step-by-step explanation:

Answer: A

Step-by-step explanation:

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