A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.

Answer:

2 90/100 in decimal form would be 2.9.

Answer:

x        y                                 ordered pair

-2      3(-2) + 2 = -4             (-2, -4)

-1       3(-1) + 2 = -1                (-1, -1)  

0       3(0) + 2 = 2                 (0, 2)

1        3(1) + 2 = 5                  (1, 5)

2       3(2) + 2 = 8                 (2, 8)

Answer:

Jesse would need to wash four cars.

Step-by-step explanation:

9 times 4 is 36, so Jesse would need to wash 4 cars, and if he washed only 3 cars, you would do 9 times 3 which would get you to 27, which is too little for the game he wishes to buy.

Answer:

252

Step-by-step explanation:

Hope this helped you, and have a good day! (Please tell me if the answer is incorrect and I will try and correct it as soon as possible)

By using the information given on the graph, we can see that a = 3.

Here we have an exponential of the form:

[tex]y = p*a^x[/tex]

And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:

[tex]4 = p*a^0\\\\36 = p*a^2[/tex]

From the first equation we get that p = 4, replacing that on the second one we get:

[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]

So we conclude that a = 3.

If you want to learn more about exponential equations:

https://brainly.com/question/11832081

#SPJ1

Answer:

y = 5x

Step-by-step explanation:

y = 5x

Where, y = amount of money library receives and x  = number of books sold.

So if 1 book is sold, y = 5 (1) = 5, which means y =5 (this matches answer on row 1 which says 1 book sold makes 5 bucks.)

Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

The power of a number says how many times to use the number in a multiplication.

--

For instance 6 to the power of 2

This means

Which is also equal to 36

Answer:

this gives 36/100 that is the fraction for the decimal

Answer:

9/25

Step-by-step explanation:

Step 1. Multiply by 100 :

Step 2. Divide by 100 and leave in fractional form :

Step 3. Simplify by dividing throughout 4 :

Answer:

Yes

Step-by-step explanation:

Use synthetic division

2 | 1 -8  14 -4

____2 -12_4__

    1 -6   2 | 0

Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.

Answer:

  B)  192 pi

Step-by-step explanation:

The volume of a cylinder is found from the formula ...

  V = πr²h

where the radius is r and the height is h. The radius is half the diameter.

__

  V = π(8/2)²(12) = 192π . . . . . . using the given values

Answer:

A

Step-by-step explanation:

Please see attached, I have colour coded for your convenience

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

Step-by-step explanation:

The father is presently 25 years old.

And his daughter is presently 5 years old.

Therefore, the father is 5 times older than his so. Currently.

In 5 years, the father will be 30 years old and the son will be 10 years old. So the father will be 3 times the daughters age.

Answer:

[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]

Step-by-step explanation:

70% of 40 is 28, with that number you can obtain the other data.

What I got is in the image below.

I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

Step 1: Flip the equation.

9^x=282429536481

Step 2: Solve Exponent.

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

Answer:

1 out of 3 people vote for junior

Step-by-step explanation:

Answer:

I round it to the whole number and degree.

<A = 33°

<C = 97°

C = 63

Step-by-step explanation:

Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]

[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]

A = sin^-1 (104*sin(50)/49)

A = 33°

180° - <B - <A = <C

180° - 50° - 33° = 97°

[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]

Put y 's value in second equation

And

Solution is (1,-3)

Verification

Verified

Answers:

8/12

2/3

4/6

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

Explanation:

There are 8 pizza slices shaded out of 12 total.

One fraction we can form is 8/12

Divide each part by the GCF 4

This means 8/12 is the same as 2/3

Check out the image below to see how 8/12 and 2/3 are the same. Refer to figure 1. We have 2 slices shaded out of 3 total.

Then check out figure 2 to see how 2/3 and 4/6 are the same. By extension, this means that 8/12 and 4/6 are the same. Figure 2 shows 4 shaded slices out of 6 total.

There are infinitely many ways we can split up this pie, so there are infinitely many fractions to write as the answers.

Answer:

-7.

Step-by-step explanation:

Using the Remainder Theorem :

If  f(x) is divided by x-1 then the remainder is f(1), so

The required remainder

= f(1) =  2(1)^3 - 5(1)^2 + (-1) - 3

= 2 - 5 - 1 - 3

= -7.

Answer:

remainder = -5

Step-by-step explanation:

Divide using long division:

[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]

Answer:

Your answer is B.

Step-by-step explanation:

n>0 means n is greater than 0.

It is an open circle that is pointing to the right for positive values greater than 0.

Answer:Try B.

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Q2

Q3

Q4

Answer & step-by-step explanation:

Please see image attached below:

Answer:

1. Volume of the cube = width * length * height = 25 * 25 * 25 = 15,625 m³

2. Volume of the cube = width * length * height = 24 * 24 * 24 = 13,824 m³

3. Volume of the cube = width * length * height = 7 * 7 * 7 = 343 m³

4. Combined volume = volume cube 2 + volume cube 3 = 13,824 + 343 = 14,167 m³

5. 15, 625 - 14,167 = 1,458 more m³

—-

Have a nice day!!

Answer:

1. Volume of a cube = l³

therefore: Volume of first cube = 25³

= 15625

2. Same formula as number 1. = l³

= 24³

= 13824

3. 7³ = 343

4. Combined volume Multiplication = 15625 × 13824

or addition = 15625 + 13824

if according to question

5. Don't get paraphrase

Answer:

4

Step-by-step explanation:

Finding the mean :

Absolute Mean Deviation of each term :

M.A.D. = 5 + 4 + 10 + 1 + 1 + 6 + 0 + 5 / 8

Answer: 3 is 17.6471% of 17

Step-by-step explanation: