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dmitriy555 [2]
2 years ago
5

How can I determine the rate of change in a relationship and how do I explain what it means in terms

Mathematics
1 answer:
vovangra [49]2 years ago
3 0

When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.
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Find the equation of the line by given two points (-5, -2) and (1, 5). Slope
docker41 [41]

Answer:

The equation of the line is 6y = 7x + 23

Step-by-step explanation:

We begin by calculating the slope of the line;

mathematically, the slope is given by;

m = (y2-y1)/(x2-x1)

That would be;

m= (5-(-2))/(1-(-5))

m = 7/6

So the equation becomes;

y = 7/6x + b

We below need to get the value of the y-intercept b

We get this by making a substitution for any of the two points

Let’s say we make the substitution for (-5,-2) in which case y = -2 and x = -5

Thus, we have

-2 = 7/6(-5) + b

-2 = -35/6 + b

b = -2 + 35/6

b = (-12+ 35)/6 = 23/6

So we have;

y = 7/6x + 23/6

let’s multiply through by 6

6y = 7x + 23

7 0
3 years ago
A science class has 5 girls and 5 boys in the seventh grade and 3 girls and 5 boys in the eighth grade. The teacher randomly sel
alexgriva [62]
So the ratios are 5:5 and 3:5 so the fractions are 5/10 (1/2) for 7th grade and 5/8 for 8th grade
3 0
3 years ago
Read 2 more answers
Rewrite the expression with the given base. 25^3x with a base of 5.
svp [43]
Use\ (a^n)^m=a^{nm}\\\\25^{3x}=(5^2)^{3x}=5^{2\cdot3x}=5^{6x}
6 0
3 years ago
Calvin's plane is flying at a speed of 600 miles per hour. If y represents the distance the plane has traveled and z represents
Ksenya-84 [330]

Answer:

D

Step-by-step explanation:

the answer is d because the amount of speed changes the total amount of distance that he travels in time

7 0
2 years ago
Plz help me with this question plz
Serjik [45]

Answer:

Quarters: 2 = 50 cents. 50cents

Dimes: 2 = 20 cents. 70cents

Nickels: 8 = 40 cents. $1.10

<h3>Hope this Helps!</h3>

:)

4 0
3 years ago
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