Find AB. Do not use the matrix function in a calculator - do this by hand and show all work.

Answer:

x = 3

Step-by-step explanation:

3|x|- 1= 8

=3x = 8 + 1

=3x = 9

=3x/3 = 9/3

x = 3.

Answer:

The equation is 3|x| - 1 = 8. To solve this equation, we first need to consider the absolute value of x.

The absolute value of x is defined as |x| = x for x ≥ 0, and |x| = -x for x < 0.

We have 3|x| - 1 = 8, so we have to consider two cases:

x ≥ 0: in this case, |x| = x and we have 3x - 1 = 8, which gives x = 3 or x = 9.

x < 0: in this case, |x| = -x and we have 3(-x) - 1 = 8, which gives -3x - 1 = 8, and then x = -3 or x = -9.

So the solution to the equation is x = 3 or 9 or x = -3 or -9.

Step-by-step explanation:

Answer:

1200 x 15%= $180.00

you don't need to add Gratuity on the Sales Tax

Step-by-step explanation:

Answer:

Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.

Answer:

honestly, I got no idea. I can tell you though - go us Desmos kid. it'll help you more than any person in this platform.

don't thank me

Step-by-step explanation:

Desmos

use Desmos

Answer: 5 1/2 hours OR 5 hrs 30 minutes

Step-by-step explanation:

She travels for 8 hours

Out of this, 2 1/2 hours she takes a break.

She has actually travelled 5 1/2 hours

equation has infinitely many solutions has the same number on both sides of the equal sign

-3x -21 + x + 5 = -20x -16

-2x -16 = -20x -16

so either you have -18x on the left or +18x in the right

Answer:

1.5

Step-by-step explanation:

G(8) = 40 + 5 - 24 - 4

45 - 28 = 17

G(8) = 17

Answer:

x=6

Step-by-step explanation:

5/6-1/3=3/6 or 1/2 so 3/x=1/2 and since 3/6=1/2 x=6

Answer: 40%

Step-by-step explanation: you would need to find the total amount of guests which would be 425 since you’d add 170 and 255, then take the amount of guests that called for room service which is 170 and divide that by the total amount of guests 425 and you would get .4 then to get the percent you would multiply .4 by 100 which would equal 40%

Answer:

2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

use the keep change change rule

13.75 - keep

  +     - change into minus

-11.25 - change into positive 11.25

The domain of the function f(x) = 6.5x will be a positive real number.

The domain means all the possible values of x and the range means all the possible values of y.

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x) = 6.5x, where x is the time in hours the jogger runs.

We know that time is a scalar quantity. Then the value of the time is always greater than equal to zero.

x ≥ 0

The domain of the function f(x) = 6.5x will be a positive real number.

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Answer:

Step-by-step explanation:

sum of any two sides > third side

difference of any two sides < third side.

8+10=18

10-8=2

2<third side <18

By using the concept of linear progression and some algebraic handling, we conclude that Joe will earn an amount of $ 31 700 in the 14th year.

According to the statement, we have a case of linear progression as income increases at same rate in time. Linear progressions are described by this formula:

c' = c + r · t     (1)

Where:

First, we calculate the increase rate:

r = (29 600 - 22 600)/10

r = 700

Now we proceed to find when Joe will earn an annual income of $ 31 700:

31 700 = 22 600  + 700 · t

t = 13

By using the concept of linear progression and some algebraic handling, we conclude that Joe will earn an amount of $ 31 700 in the 14th year.

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Answer:

1

c

2

h

Step-by-step explanation:

1

For the first question, the mean is calculated by adding all the items together and dividing it by the amount of them.

In this case, we add 32000 to 4600 to create 36600, this is the cost for 6 cars. To find the mean, we divide by 6. 36600 divided by 6 is 6100

2

We are looking for the original fee of 50 on its own, alongside 10 lots of 25.

The only version that correctly represents this is 50 + 25(10)

Answer:

In this context, unique means existence of only one value for that element and no more than one value

Step-by-step explanation:

\(\sf 2^{-6}\)

these two options apply

\(\rightarrow \sf \dfrac{1}{2^6}\)

\(\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}\)

in decimals : 0.015625

Answer:

Option C and D

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Example:

If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.

This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

First, take the exponent's reciprocal as said above.

⇒ \(2^{-6}\)

⇒ \(\frac{1}{2^{-6} }\)

Now, change the exponent's sign.

⇒ \(\frac{1}{2^{-6} }\)

⇒ \(\frac{1}{2^{6} }\)

Now, simplify the term.

⇒ \(\frac{1}{2^{6} }\)

⇒ \(\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }\)

⇒ \(\frac{1}{8 \times 8}\)

⇒ \(\frac{1}{64}\)

Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

A)------------------------------------------------------------------------------------------------------

Keep in mind that the exponent is the number of times the base needs to multiply itself.

\(-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2\)

NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.

\(-2 \times -2 \times -2 \times -2 \times -2 \times -2\)

⇒ \(2 \times 2 \times 2 \times 2 \times 2 \times 2\)

⇒ \(64\)

\(-2^{6} = 64 \neq \frac{1}{64}\)

B)------------------------------------------------------------------------------------------------------

Since -64 is already a simplified term, we can compare this with the simplified result.

\(-64 \neq \frac{1}{64}\)

C)------------------------------------------------------------------------------------------------------

\(\frac{1}{2^{6}}\)

⇒ \(\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }\)

⇒ \(\frac{1}{8 \times 8 }\)

⇒ \(\frac{1}{64}\)

\(\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}\)

D)------------------------------------------------------------------------------------------------------

\(2^{-2} \times 2^{4} \times 2^{-8}\)

⇒ \(\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }\)

⇒ \(\frac{1}{4} \times 16 \times \frac{1}{256}\)

⇒ \(\frac{1}{4} \times 1 \times \frac{1}{16}\)                                                                               [16² = 256]

⇒ \(\frac{1}{4} \times \frac{1}{16}\)

⇒ \(\frac{1}{64}\)

\(2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}\)

E)------------------------------------------------------------------------------------------------------

\(2^{3} \times 2^{-2}\)

⇒ \(2^{3 - 2}\)

⇒ \(2^{1} = 2\)

\(2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}\)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

The top two options for graphs

Answer:

What's the graph?

Step-by-step explanation:

Answer:

9 and 18

Step-by-step explanation:

Since we don’t know the number, I put x as one of the numbers. Since the other number should be two times as large, that would be 2x.

2x+x=27

3x=27

x=9

To find the other number, which is 2x multiply by 2. So 18

Answer:

one number=9

Second number=18

Step-by-step explanation:

The sum of two numbers =27

one number is 2 times as large as the other

Solution

Let one number=X

Second number=2x

X+2X=27

3x=27

X=27/3

X=9

So one number=9

Second number=18

The True statement is parallelogram DEFG is the pre-image because it is not the result of the transformation.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given:

Parallelogram DEFG is transformed to parallelogram VSTU.

It changes from parallelogram DEFG to parallelogram VSTU.

According to how it is said, DFEG is the initial parallelogram or pre-image that is changed to create VSTU, VSTU is changed from DEFG.

The following is an accurate statement concerning the transformation:

As the parallelogram DEFG is not the outcome of the transformation, it is the pre-image.

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The correct Question attached here are as follow:

(Q). Parallelogram DEFG is transformed to parallelogram VSTU. Which statement about the transformation is true?

Answer:

c

Step-by-step explanation:

Answer:

x = 29

Step-by-step explanation:

147 + 147 + 2x - 25 + 2x - 25 = 360

294 + 2x - 25 + 2x - 25 = 360

294 + 2(29) - 25 + 2(29) - 25 = 360

294 + 58 - 25 + 58 - 25 = 360

352 - 25 + 33 = 360

327 + 33 = 360

360 = 360

x = 29

The equation that is the inverse of the function \(f(x) = \frac{x-3}{5}$\) is \(f^{-1}(x) = 5x + 3$\).

A function that "undoes" another function is called an inverse. In other words, if f(x) produces y, then y entered into the opposite of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol \(f^-1\).

To find the inverse of the function \(f(x) = \frac{x-3}{5}$\), we can follow these steps:

Replace f(x) with y;

\($y = \frac{x-3}{5}$\)

Solve for x in terms of y:

5y = x - 3

x = 5y + 3

Replace y with \($f^{-1}(x)$:\)

\($f^{-1}(x) = 5x + 3$\)

Therefore, the equation that is the inverse of the function \(f(x) = \frac{x-3}{5}$\) is \(f^{-1}(x) = 5x + 3$\).

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The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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Using Trigonometry, the value of x in the right triangle is 17.1

Since we have a right angle triangle ; The angle L can be obtained thus ;

L = 180 - (90+67)

L = 23

Using Trigonometry:

Sin23° = opposite/ hypotenuse

Opposite= 6.7

hypotenuse= x

Sin23° = 6.7/x

x = 6.7/sin(23°)

x = 17.14

Therefore, the value of x to the nearest tenth is 17.1

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Answer:

6.

Just count the x's on the graph...

Answer:

the volume of the solid is \(\frac{\pi }{120}\)

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

so

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = \(\frac{\pi }{4}\)( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ \(\frac{\pi }{4}\)( x - x² )² dx        

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³  }

so we have;

=  ₀∫¹ \(\frac{\pi }{4}\)( x² + x⁴ - 2x³ ) dx  

= \(\frac{\pi }{4}\) \([\) \(\frac{x^3}{3}\) + \(\frac{x^5}{5}\) - \(\frac{2}{4} x^4\) \(]^1_0\)

= \(\frac{\pi }{4}\)[ \(\frac{1}{3}\) + \(\frac{1}{5}\) - \(\frac{2}{4}\) ]

= \(\frac{\pi }{4}\)[ \(\frac{1}{30}\) ]

V = \(\frac{\pi }{120}\)

Therefore, the volume of the solid is \(\frac{\pi }{120}\)