For f(x) = -x + 8, which statement is true?
Group of answer choices

f(x + k) = f(x) + k

f(x + k) = f(x) + f(k)

f(x - k) = f(x) - k

f(x - k) = f(x) + k

Answer:

Option (D)

Step-by-step explanation:

Area of a rectangle = Length × width

Area of large rectangle = (3x - 1)(3x + 7) square units

                                       = (9x² + 21x - 3x - 7)

                                       = 9x² + 18x - 7

Area of small rectangle = (2x + 5)x

                                       = (2x² + 5x) square units

Area of the shaded region = Area of large rectangle - Area of small rectangle

= (9x²+ 18x - 7) - (2x² + 5x)

= (9x² - 2x²) + (18x - 5x) - 7

= (7x² + 13x - 7) square units

Therefore, Option (D) will be the correct option.

The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]

The dimension of the big rectangle is given as:

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (3x - 1) \times (3x + 7)[/tex]

Expand

[tex]Area = 9x\² + 21x - 3x - 7[/tex]

[tex]Area = 9x\² + 18x - 7[/tex]

The dimension of the small rectangle is given as:

So, the area of the rectangle is:

[tex]Area = Length \times Width[/tex]

[tex]Area= (2x + 5) \times x[/tex]

Expand

[tex]Area = 2x\² + 5[/tex]

The area of the shaded region is the difference between the area of the big and small rectangles.

So, we have:

[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]

Expand, and collect like terms

[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]

[tex]Area = 7x\² + 13x - 7[/tex]

Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]

Read more about areas at:

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Answer:

0.68268

Step-by-step explanation:

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x = 85

z = 85 - 105/20

z = -1

Probability value from Z-Table:

P(x = 85) = 0.15866

For x = 125

z = 125 - 105/20

z = 1

Probabilty value from Z-Table:

P(x = 125) = 0.84134

The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:

P(x = 125) - P(x = 85)

= 0.84134 - 0.15866

= 0.68268

Answer:

78 3/4 I think is the answer

Answer:

8/7

Step-by-step explanation:

reciprocal is just the same number flipped

Answer:

8/7

Step-by-step explanation:

The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1

Answer:

D) y=4x-1

Step-by-step explanation:

Answer:

D) y=4x-1

Step-by-step explanation:

Each y-value in the table is 1 less than 4 times the corresponding x-value.

Answer:

18

Step-by-step explanation:

The formula for area is a=lw

So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.

I- I'm speechless

Do you even have a question-

Answer:

which table?

Step-by-step explanation:

im assuming it would look like this

1   24

2  48

3  72

4  96

5  120

6  144

7  168

8  192

9  216

10  240

just multiply the number of loaves to 24

Hope this helped :)

Answer:

Loan A: $198887.40

Loan B: $213030

Step-by-step explanation:

To find the total payback use the equation:

P x 12 x t

P= monthly payment

t= time in years

Loan A: 1104.93 x 12 x 15= $198887.40

Loan B:1183.50 x 12 x 15= $213030

Hope this helps :)

Answer:

1.76

Step-by-step explanation:

0.79 + 0.97

The number 1.76 is 0.79 more than 0.97.

A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.

Given what number is 0.79 more than 0.97,

Let the number be x,

x = 0.79 + 0.97

x = 1.76

Hence, the number 1.76 is 0.79 more than 0.97.

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Answer:

1.86 (rounded to nearest hundredth) inches of snow in 1 hour

Step-by-step explanation:

Divide 13 inches of snow by 7 hours

The answer is 1.8571428571428571428571428571429

Round to the nearest hundredth

1.86

Hope this helped :)

[tex]\textsf{Hey there!}[/tex]

[tex]\textsf{What's the rate of 13 inches of snow in 7 hours?}[/tex]

[tex]\mathsf{\dfrac{13\leftarrow \bf{inches}}{7\leftarrow{hours}}} \\\\\mathsf{\dfrac{13\div7\leftarrow inches}{7\div7\leftarrow hours}}\\\\\mathsf{7\div7=1}\\\\\mathsf{\dfrac{13\div7\leftarrow\underline{ inches}}{1\leftarrow \underline{hour(s)}}}\\\\\mathsf{13\div7=1.857143}\\\\\mathsf{\dfrac{1.857143\leftarrow \frak{inches}}{1\leftarrow\frak{hour(s)}}}}}}\\\\\mathsf{1.85714\div1=\bf{ANSWER}}\\\\\textsf{Solve above and you have your answer.}[/tex]

[tex]\lhuge\text{Note: We're rounding our answer because the actual answer will take some time}[/tex]

[tex]\boxed{\boxed{\textsf{Thus, your answer is: \boxed{\boxed{\large\textsf{\bf1.86 inches per hour}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{LoveYourselfFirst}[/tex]

Answer:Undefined

Step-by-step explanation: The line is going straight so it makes it undefined

Answer:

the pic is black send another one

Answer:

Both is the anwser.

Step-by-step explanation:

Look it this way its simple 7.20 plus 6.75 equals 13.95

6.75 plus 7.20 is 13.95 theres no decimals changing in this problem meaning that both of them are correct.

there could be a calculator online to solve it

Answer:

1,3

Step-by-step explanation:

Answer:

$2.25

Step-by-step explanation:

To find the cost per pound you have to divide $54 by 24.

Answer:

11/48 = 0.02083

I'm pretty sure-

Answer:

The answer is 24

Step-by-step explanation:

Answer:

Raul would ride 18 miles.

Step-by-step explanation:

60/10 =6

3x6=18

Answer:

18 miles is your answer

Answer:

1. [tex] h = -3t + 18 [/tex]

2. The amount of snow that accumulated the previous night.

Step-by-step explanation:

1. height of snow = h cm

time = t hrs

To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,

y = h,

x = t

m = slope

b = y-intercept

Find slope (m) using points (6, 0) and (0, 18):

[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]

m = -3

The y-intercept is where the line intercepts the y-axis = 18

Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.

Thus, the linear function would be:

[tex] h = -3t + 18 [/tex]

2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.

Answer:

Weight of 15 bags in Kg: 299.4 Kg

Volume of 15 bags in cubic yards: 1.11 cubic yards

Step-by-step explanation:

Weight of 15 bags is calculated as follows:

Let's convert 44 pounds to Kg.

1 pound-------0,453592 Kg

44pounds------x

To find the weight of 15 bags we have to multiply the weight of one bag by 15:

Weight of 15 bags=19.95*15=299.4 Kg

Volume of 15 bags is calculated as follows:

First we need to convert one bag volume that is given in cubit feet to cubic yards:

1 cubic feet---------------0.03704 cubic yard

2 cubic feet----------------x

To find the volume of 15 bags we have to multiply the volume of one bag by 15:

Volume of 15 bags=0.07407cubic yard*15= 1.11 cubic yards

Step-by-step explanation:

Answer: 601

Step-by-step explanation:

The formula to find the minimum sample size(n) , if the prior population proportion is unknown:

[tex]n=0.25(\dfrac{z^c}{E})^2[/tex], where E = margin of error , [tex]z^c[/tex] = critical z-value for confidence level c.

Given : E  = 0.04

Z-value for 95% confidence = 1.96

So, the minimum sample size required = [tex]0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2[/tex]

[tex]= 0.25\times 2401=600.25\approx601[/tex]

Hence, the minimum sample size required = 601

Answer:   -1.4

The opposite of -1.4 is 1.4; you flip from negative to positive.

Then taking the opposite of 1.4 gets us back to -1.4 again

Effectively the two opposites cancel out and nothing changes.

Answer:

-1.4

Step-by-step explanation:

because if it says the opposite then

it goes like this

opposite one time = positive 1.4

then do the opposite of a positive = -1.4

Answer:

33.6

Step-by-step explanation:

length× width

= 8×4.2

8.0

× 4.2

_____

160

+3200

_____

3360

______

Here, in the question it is 8×4.2. We kept .0 to 8. That is 8.0×4.2. Here, we have two decimal points. So we should keep the two decimal points in the answer. Then, the answer is 33.6

Answer:

First term = 64

Step-by-step explanation:

We are given the formula for the nth term of a geometric series to be;

S_n = (a1(1 - rⁿ))/(1 - r)

Where:

S_n is the sum of n terms

A1 is first term

r is common ratio

We are given;

S_112 = 256

r = ¾

Thus;

256 = a1(1 - ¾^(112))/(1 - ¾)

256 = a1(4)

a1 = 256/4

a1 = 64

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps

Answer:

C

Step-by-step explanation:

12 x 9 = 108 + 2 = 110. 110 / 2 = 55 and 55 is a composite number.

3/4 is the answer for your question

Answer:

3/4

Step-by-step explanation:

the ratio is kinda like fractions

here are more:

3:5 - 3/5

4:9 - 4/9