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Aleonysh [2.5K]
3 years ago
6

Given that set C is the negative Integers greater than -10, which elements of set C are less than or equal to -5? (Enter your an

swers as a comma-
separated list.)
Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

{-9,-8,-7,-6,-5}

Step-by-step explanation:

Set C is negative Integers greater than -10

{-9, -8, -7, -6, -5, -4, -3, -2, -1}

Elements less than or equal to -5

{-9, -8, -7, -6, -5}

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I need help with this question. IT IS NOT MULTICHOICE. again, IT ISNT MULTICHOICE. (brainliest, 12 pts)
Rasek [7]

Answer:

Part A) The given enrollment numbers as a pair of points are (0,900) and (3,1,500)

Part B) The slope of the line is m=200\ \frac{students}{year} (see the explanation)

Part C) P=200t+900

Part D) P=2,500\ students

Step-by-step explanation:

Part A) Write the given enrollment numbers as a pair of points in the form (t,P)

Let

t ----> the number of years since 2009 (independent variable or input value)

P ---->the high school's student enrollment (dependent variable or output value)

we know that

For t=0 (year 2009) ----> P=900 students

so

The first ordered pair is (0,900)

For t=2012-2009=3 years ----> P=1,500 students

so

The second ordered pair is (3,1,500)

therefore

The given enrollment numbers as a pair of points are (0,900) and (3,1,500)

Part B) Find the slope of the line passing though the pair of points

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(0,900) and (3,1,500)

substitute the values

m=\frac{1,500-900}{3-0}

m=\frac{600}{3}

m=200\ \frac{students}{year}

That means that the high school's student enrollment increase at rate of 200 students by year since 2009

Part C) Write an equation that relates the high school's student enrollment, P, to the number of years since 2009, t

we know that

The equation of a line in slope intercept form is equal to

P=mt+b

where

m is the slope

b is the P-intercept

In this problem we have

m=200

b=900 ---> represent the initial value ( value of P when the value of t is equal to zero)

substitute

P=200t+900

Part D) Predict the high school's enrollment in 2017

For t=2017-2009=8 years

substitute the value of t in the linear equation

P=200(8)+900

P=2,500\ students

3 0
3 years ago
your cell phone company started a rewards club. For every three text sent, you get 15 points. You need 1800 points for prize. Ho
dangina [55]
You would put these in a fraction then cross multiply so 15/1800 and 3/x then you get 5400 equals 15x then divide by 15 on both sides to get x equals 360
3 0
3 years ago
6 inch pizza has 570 calories how many calories in a 14 inch pizza
ki77a [65]

First, let's find the amount of calories in a 1 inch pizza:

570/6=95

Knowing this, we just multiply the calorie count of a one inch pizza by 14 to find the calorie count of a 14 inch pizza:

14*95=1330

There are 1330 calories in a 14 inch pizza.

3 0
3 years ago
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What value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?
svlad2 [7]

Answer:

n = -9

Step-by-step explanation:

4(0.5n − 3) = n − <u>0.25(12 − 8n)</u>

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2n - 12 = 3n - 3

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2 years ago
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Inessa [10]

Answer:

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Step-by-step explanation:

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3 years ago
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