Explain how to use a number line to show that opposite quantities combine to make 0

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

the answer is a negative and positive can make it to 0 by adding

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In the year 1995, there were 1200 students at pine elementary school. In the year 2010 there were 1500 students. Find the rate o

AnnZ [28]

The rate of change from 1995 to 2010 is 20 students per year and the linear function that models the data will be: $y=20x-38700$

Explanation

In the year 1995, there were 1200 students and in the year 2010, there were 1500 students.

If $x$ represents the year and $y$ represents the number of students, then two points in form of $(x,y)$ will be: $(1995, 1200)$ and $(2010, 1500)$

So, the rate of change or slope = (change in value of y / change in value of x) $=\frac{1500-1200}{2010-1995}= \frac{300}{15}=20$

Now, plugging slope $(m)$ = 20 and first point $(x_{1}, y_{1}) =(1995,1200)$ into point slope form of linear equation $y-y_{1} =m(x-x_{1})$ , we will get.....

$y-1200=20(x-1995)\\ \\ y-1200=20x-39900\\ \\ y= 20x-39900+1200\\ \\ y= 20x-38700$

4 0

3 years ago

Complete the square f(x) = x^2 + 4x - 8 PLZ help me ;c

Semenov [28]

Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x

x=-2+2√3 or -2-2√3
that is where the x intercept are

and completed square form is
f(x)=(x+2)²-12

6 0

3 years ago

What is the value of x

Anarel [89]

Answer: x=17

Step-by-step explanation:(6x+x+4x)+(10+17-34)=180

we know this because triangles always equal 180o so the 3 angles equa; 180 so 187/11 + 17

3 0

2 years ago

sue can hit a golf ball 26.4 yards Johnny can hit a ball 10 times as further as sue. how many can John hit the ball????

Marina CMI [18]

John can hit the ball 264 yards