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Solnce55 [7]
3 years ago
8

If you are given a graph, an equation, and a table; each representing a different linear function how would you determine which

one has the greatest rate of change
Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

you would simply calculate the slope for each, a graph it is easy because you simply get two points on the graph and solve for it (y2-y1/x2-x1), an equation if it is in slope intercept form, the coefficient of x is the slope, from a table you use a similar method to a graph except you grab two values/instances, let's say in a table the numbers are presented like this:

3   4

2   6

You would then simply do the same thing for solving for the slope (y2-y1/x2-x1). In this instance it would be 6-2/4-3=4/1

All of these would give you the rate of change as the slope is the rate of change.

Step-by-step explanation:

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Which statement describes how the Van Allen belts are formed?
Leya [2.2K]

Answer:

when high-energy particles from the Sun bounce off Earth’s magnetic field

4 0
2 years ago
The volume of a cylindrical soup can is represented by the expression πr3 + 7πr2, where r is the radius of the cylinder. Which s
Ganezh [65]

Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>

<em></em>

5 0
3 years ago
Write the equation of the line that passes through the point (2,-9)<br> and has a slope of -5.
balu736 [363]

Step-by-step explanation:

Find equation

y - y1 = m(x - x1)

y + 9 = -5(x - 2)

y = -5x + 10 - 9

y = -5x + 1 → Equaton

7 0
2 years ago
What is the range of the equation
a_sh-v [17]

The range of the equation is y>2

Explanation:

The given equation is y=2(4)^{x+3}+2

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

y=2 \cdot 4^{x+3}+2

This can be written as y=2^{1+2(x+3)}+2

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

x=2^{1+2(y+3)}+2

Solving for y, we get;

x-2=2^{1+2(y+3)}

Applying the log rule, if f(x) = g(x) then \ln (f(x))=\ln (g(x)), then, we get;

\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)

Simplifying, we get;

(1+2(y+3)) \ln (2)=\ln (x-2)

Dividing both sides by \ln (2), we have;

2 y+7=\frac{\ln (x-2)}{\ln (2)}

Subtracting 7 from both sides of the equation, we have;

2 y=\frac{\ln (x-2)}{\ln (2)}-7

Dividing both sides by 2, we get;

y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}

Let us find the positive values for logs.

Thus, we have,;

x-2>0

     x>2

The function domain is x>2

By combining the intervals, the range becomes y>2

Hence, the range of the equation is y>2

7 0
3 years ago
PLEASE ANSWER ASAP NEED HELP REALLY BAD CALLING OUT TO ALL MATH PROS WHO CAN HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
sergeinik [125]

Answer:

<abd is 90

<abc is 44

this isnt that hard im in middle school and doing this

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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