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3 years ago

What is the range of the function? Graph in link.

Mathematics

1 answer:

murzikaleks [220]3 years ago

4 0

Answer: Option D: R = {3, 9, 12}

Step-by-step explanation:

The range of a function is the set of the possible outputs of a function:

if we have the function f(x) = y, the values of x are the domain, and the values of y are the range.

In the image, the set at the right is the output, so the set in the right is the range.

such that we have the pairs (-2,3) (2, 3) (3, 9) (4, 12)

So the range will be R = {3, 9, 12}

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Factor the expression 3x? - 75 completely. (select one answer)

AysviL [449]

Should be the 3rd one

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3 years ago

Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for

9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = $x\% \times 375 = \frac{x}{100} \times 375 =3.75x$

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

$x=\frac{408.75-375}{3.75}$

x=9

Hence She paid 9% of sales tax

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3 years ago

The ratio of x to y is 1/2 . If the ratio of x + 2 to y + 1 is 2/3 , then what is the value of x?

Natali5045456 [20]

Answer:

x =4

Step-by-step explanation:

x/y = 1/2

(x + 2) / (y + 1) = 2/3

Cross multiply the first equation

2x = y

Put that value for y into the second equation.

(x + 2) / (2x + 1) = 2/3 Cross multiply

3(x + 2) = 2(2x + 1) Remove the brackets.

3x + 6 = 4x + 2 Subtract 3x from both sides

6 = 4x - 3x + 2

6 = x + 2 Subtract 2 from both sides

6-2 = x

x = 4

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3 years ago

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Darina [25.2K]

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3 years ago

Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by

Temka [501]

Lan is 146 centimeters tall now.

<u><em>Explanation</em></u>

Let, Lan's current height is $h$ centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = $(h+6)$ centimeters and Jim's current height = $(h-10)$ centimeters.

Every month, their heights increase by 2 centimeters.

So, after 5 months.....

Lan's height = $h+(2*5)=(h+10)$ centimeters,

Lisa's height = $(h+6)+(2*5)= (h+16)$ centimeters and

Jim's height = $(h-10)+(2*5)= h$ centimeters

Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

$(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146$

So, the current height of Lan is 146 centimeters.

7 0

3 years ago