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Natasha2012 [34]
3 years ago
11

Plot the following and their opposites on the number line.

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Step-by-step explanation:

Is there a image or any numbers because I can't see any

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Solve the inequality <br> please .. if you can show your work i dont understand it
Sauron [17]

Answer:

X ≥ 3

Step-by-step explanation:

First you simplify, as if the ≤ is an = (just don't multiply with a negative number)

27 = 7X + 6

27 - 6 = 7X

21 = 7X

3 = X

Then you put the ≤ back in

3 ≤ X

and put the X up front. The ≤ then swaps into a ≥

Finally, you can do a test with X = 2 (should be false) and X=4 (should be true), to check wether you made any mistakes.

4 0
3 years ago
Rewrite the equation of the parabola in vertex form. y= x2 + 8x - 21
sergey [27]

Answer:

y=(x+4)^{2}-37

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a> 0 then the parabola open upward (vertex is a minimum)

if a< 0 then the parabola open downward (vertex is a maximum)

In this problem we have

y=x^{2}+8x-21

Convert to vertex form

Complete the square

y+21=x^{2}+8x

y+21+16=(x^{2}+8x+16)

y+37=(x^{2}+8x+16)

y+37=(x+4)^{2}

y=(x+4)^{2}-37 --------> equation in vertex form

The vertex is the point (-4,-37)

the parabola open upward (vertex is a minimum)

4 0
3 years ago
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A group of campers were polled about whether they like swimming and whether they like playing baseball. The data from the survey
ivann1987 [24]

Answer:

a = 15  

b = 18

e = 31

6 0
3 years ago
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What is 24.3 rounded to the nearest whole number?<br> Need help
34kurt

Answer:

its 24 because the decimal is less than 5

7 0
3 years ago
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You asked amusement park visitors the question "How many times did you ride a roller coaster today?" as they left the park. The
VladimirAG [237]

Answer:4

Step-by-step explanation:

3 0
3 years ago
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