Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}

Answers

Answer 1
Answer:

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

f(-2)=-11

f(-1)=-9

f(0) = -7

f(1) = -5

f(2) = -3

Range = {-11,-9,-7,-5,-3}


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Can u guys help me on this one too
20 + g = 25

Answers


20+5=25

Hope its correct ad definitely hope it helps:)

Jenny filled 12 pitchers with equal amount of lemonade in each. The total amount of lemonade in the 12 pitchers was 41.4 liters. How many liters of lemonade would be in 7 pitchers

Answers

Answer:

24.15 liters of lemonade would be in 7 pitchers.

Step-by-step explanation:

The total amount of lemonade was 41.4 liters.

Jenny filled 12 pitchers with equal amount of lemonade in each.

So dividing total amount of lemonade by number of pitchers will yield amount of lemonade in each pitcher.

Hence,

\text{Amount of lemonade in each pitcher}=\frac{\text{Total lemonade}}{\text{Number of pitchers}}

=(41.4)/(12)

=3.45\ lit

Then the amount of lemonade in 7 pitchers will be,

=3.45* 7=24.15\ lit

24.15 liters of lemonade would be in 7 pitchers

Further explanation

Comparison is an effort to compare two or more objects in terms of shape or size, or number

Proportional Comparisons / Directly proportional are comparisons of two or more numbers where one number increases, the other numbers also increase at the same rate

  Can be formulated

\displaystyle \frac {x1} {y1} = \frac {x2} {y2}

 so that if:

 x = 2

 then

\displaystyle y ={ \frac {y} {x} * \: 2}

 While the reversal value comparison / inversely proportional is the comparison of two or more numbers where one number increases, the other number decreases in value

or when one value decreases at the same rate that the other increases

 Can be formulated

\displaystyle \frac {x1} {y2} = \frac {x2} {y1}

so that if:

 x = 2

 then

\displaystyle y = \frac {x} {y} * \: 2

Known

Jenny filled 12 pitchers with 41.4 liters of lemonade

Asked

lemonade in 7 pitchers

Answer

Because this includes Proportional Comparisons / Directly proportional, the equation becomes:

\displaystyle (7~pitchers)/(12~pitchers)=(x)/(41.4~liters)

\displaystyle x=(7*41.4)/(12)

\large{\boxed{\bold{24.15~liters}}}

Learn more  

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Keywords: pitchers, lemonade, liters, Proportional Comparisons / Directly proportional

Sue wants to use mental math to find 7 times 53. Write an expression she could use.

Answers

She could multiply 50x7 and than 3x7 and add those two together.
50 x 7 = 350
3 x 7 = 21
21 + 350 = 371

The product of 51 and a number less than 427 is 185.

Answers

So,

"The product of 51"
51 *

"and a number less than 427"
427 - n

"is 185."
= 185

51 * (427 - n) = 185

Distribute.
21,777 - 51n = 185

Subtract 21,777 from both sides.
-51n = -21,592

Divide both sides by -51.

n= 423(19)/(51)

Answer:

So,

"The product of 51"

51 *

"and a number less than 427"

427 - n

"is 185."

= 185

51 * (427 - n) = 185

Distribute.

21,777 - 51n = 185

Subtract 21,777 from both sides.

-51n = -21,592

Divide both sides by -51.

a paperweight is in the shape of a pyramid. The base is a square with sides of 1.5 centimeters. The height of the paperweight is 3 centimeters. Find the volume of the paperweight.

Answers

The answer is 1.5x3 which is 4.5 i am pretty sure.

In how many years, will an amount double itself, if the simple interest is calculated at the rate of 10% p.a.?

Answers

Answer:

wouldn't it be in 10 years?

Step-by-step explanation:

10 * 10= 100