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natali 33 [55]
1 year ago
6

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
pav-90 [236]1 year ago
3 0

Answer: y=-3x-2

Step-by-step explanation:

Using the values x=-2, y=4 and x=1, y=-5, the slope is \frac{-5-4}{1-(-2)}=-3.

So, the equation is:

y-4=-3(x+2)\\\\y-4=-3x-6\\\\y=-3x-2

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Two sides of a triangle measure 8 centimeters and 13 centimeters which of the following could not be the length of the third sid
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The answer is A because 13-9 equals 4
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What is a symbol that is used to represent a number
Vera_Pavlovna [14]
The symbol used to represent a number is called a variable.
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4 years ago
The triangles are congruent. Find the length of each hypotenuse.
Zina [86]
If the triangles are congruents:
1) AC must be congruent with FE→AC=FE→y+3=2y+1→
y+3-y-1=2y+1-y-1→
2=y→y=2

2) CB must be congruent with ED→CB=ED→5x+7=6x+2y→
5x+7-5x=6x+2y-5x→7=x+2y→x+2y=7

Replacing y=2 in the equation above:
x+2y=7→x+2(2)=7→x+4=7→x+4-4=7-4→x=3

Then the lenght of each hypotenuse is:
CB=5x+7=5(3)+7=15+7→CB=22
or
ED=6x+2y=6(3)+2(2)=18+4→ED=22

The length of each hypotenuse is 22
6 0
3 years ago
According to an article the bottled water you are drinking may contain more bacteria and other potentially carcinogenic chemical
Fofino [41]

Answer:  3687

Step-by-step explanation:

Given : Prior proportion of bottles that exceeds government levels = \dfrac{1}{3}

Margin of error : E=0.02

Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

The formula to find the sample size is given by :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

i.e. n=\dfrac{1}{3}(1-\dfrac{1}{3})(\dfrac{2.576}{0.02})^2

3686.54222222\approx3687

Hence, the minimum required sample size =3687

8 0
4 years ago
Cory remembers that his ATV had 4 gallons of gasoline in the tank on Monday. After driving a total of 40 miles during
alexandr1967 [171]

Answer:

-1/20

Step-by-step explanation:

For a graph like this you should make the gallons of gas on y-axis and the miles driven on the x-axis.

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So in this case it is 2-4/40-0

-2/40

This reduces to -1/20

6 0
3 years ago
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