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german
2 years ago
12

A line has a slope of -3 and a rise of 21, what is the run?

Mathematics
1 answer:
grigory [225]2 years ago
8 0

Answer:

The run is -7.

Step-by-step explanation:

Since we know that slope = rise/run, we can calculate the run by inputting the given numbers.

So,

-3 = 21/x and we need to solve for x.

When we cross multiply we get -3x=21.

Then, divide -3 on both sides and x = -7

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Algebra 2 question need help.​
MrMuchimi

Answer: Choice C

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

===========================================

Explanation:

When reflecting the function f(x) over the y axis, we replace every x with -x and simplify like so

f(x) = -x^4 - 2x^3 + 3x^2 - 4x + 5

f(-x) = -(-x)^4 - 2(-x)^3 + 3(-x)^2 - 4(-x) + 5

f(-x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

h(x) = -x^4 + 2x^3 + 3x^2 + 4x + 5

Note the sign changes that occur for the terms that have odd exponents (the terms -2x^3 and -4x become +2x^3 and +4x); while the even exponent terms keep the same sign.

The reason why we replace every x with -x is because of the examples mentioned below

-----------

Examples:

The point (1,2) moves to (-1,2) after a y axis reflection

Similarly, (-5,7) moves to (5,7) after a y axis reflection.

As you can see, the y coordinate stays the same but the x coordinate flips in sign from negative to positive or vice versa. This is the direct reason for the replacement of every x with -x.

4 0
2 years ago
What is the effect on the graph of the function f(x) = V3x when f(x) is replaced with f(x + 4)?​
andreev551 [17]

Answer:Replacing x with -x will reflect a graph across the y-axis. Multiplying x by 3 before the function is applied will compress the graph horizontally. This means the correct choice is D.

8 0
3 years ago
Solve the system by graphing. It is REQUIRED to check your solution. Show work for this problem on your work page.
Hunter-Best [27]

Answer:

y=x-1

y=-2x-4

although I cant summon a graph for this one, I can give cords

for first graph (-2,-3),(-1,-2),(0,-1), (1,0),(2,1)

For second graph the slope is down 2 over 1, and begins at (0,-4).

(-2,0)(-1,-2),(0,-4),(1,-6),(2,-8)

6 0
3 years ago
Read 2 more answers
44 points in 4 quarters
IgorLugansk [536]
<span>
28 11 points in 1 quarter because 44/4=11 which is 11/1</span>
4 0
3 years ago
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
fredd [130]

Answer:

Initial height or what the ball was originally bounced from a height of 9 feet

Step-by-step explanation:

9 represents the height that the ball was originally bounced from.

If you plug in 0 for n into f(n)=9(0.7)^n, you get:

f(0)=9(0.7)^0=9(1)=9.

9 feet is the initial height since that is what happens at time zero.

7 0
3 years ago
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