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Lina20 [59]
4 years ago
12

This table shows values that represent an exponential function.

Mathematics
2 answers:
Vitek1552 [10]4 years ago
7 0

Answer:

A

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 2, 4 ], thus

f(b) = f(4) = 16 ← corresponding value of y from table

f(a) = f(2) = 4 ← corresponding value of y from table , thus

average rate of change = \frac{16-4}{4-2} = \frac{12}{2} = 6 → A

kakasveta [241]4 years ago
5 0

Answer:

3

Step-by-step explanation:

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Help PLZ i’m just trying to finish this without getting any wrong
otez555 [7]

Answer:

The arrangement of the given equation in the slope - intercept form are

1. y = 1x +82  

Step-by-step explanation:

Given:

Let  A ≡ ( x1 , y1 )   ≡ (-12 , 70)

       B ≡ ( x2 , y2 ) ≡ (-4 , 78)

Slope - intercept form :

y=mx+c

Where,

m is the slope of the line.

c is the y-intercept.

When two points are given say ( x1 , y1 )  and ( x2 , y2)  we can remove slope by  

Slope,

m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}

∴ m =\frac{78-70}{-4--12}\\m =\frac{8}{-4+12}\\m =\frac{8}{8}\\ m= 1

Now equation of a line  for a point ( x1 , y1 )  and having slope m is given as,

(y-y_{1})=m(x- x_{1})\\ \textrm{substituting ( x1 , y1 ) and m we get}\\y-70=1(x-(-12))\\y= x+12+70\\y=x+82

Which is in the required form

y = 1x + 82

Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.

3 0
4 years ago
Four points if the slope is 1.5 and the y-intercept is -3
klio [65]
(0,-3) (2,0) (4,3) (6,6)
6 0
4 years ago
The pair of values below is from a direct variation. Find the missing number.
NISA [10]

Answer:

The answer is 2.

2  since 6/4=3/2

Step-by-step explanation:

Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)

If y=kx then y/x=k.

So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.

So we are going to solve this proportion:

\frac{6}{4}=\farc{3}{x}

Again I put y/x from each point. They should have same ratio because this is a direct variation.

Cross multiply:

6(x)=4(3)

6x=12

Divide boht sides by 6:

x=\frac{12}{6}

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6 0
4 years ago
Read 2 more answers
the number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has.in total,the
Alexeev081 [22]
Assume the following:

Brad has been in the soccer team for b years.

Scot has been in the soccer team for s years.


"The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"

means: b=5s-2


"in total,the boys have been on the soccer team for 10 years."

means: b+s=10


so we have the equations:

i) 
b=5s-2

ii) 
b+s=10


substitute b in ii) with 5s-2, as they are equal, from i

(5s-2)+s=10

5s-2+s=10

6s=12

s=2, 


then , from b+s=10, b=8


Answer: Brad has been in the team for 8 years.
7 0
4 years ago
Can someone please help me with this problem? I'm not very good at math and neither is the rest of my family so they can't reall
lys-0071 [83]
A: Jeremy is correct, agree the congruence postulate states "<span> that if two sides and the included angle of one triangle are </span>congruent<span> to two sides and the included angle of another triangle, then the triangles are </span>congruent<span>." 
B: The segment addition postulate can also be used</span>
7 0
4 years ago
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