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tekilochka [14]
2 years ago
6

Factor the following expression using Reverse Distribution: 6n-24

Mathematics
1 answer:
harkovskaia [24]2 years ago
8 0

Answer:C 2(3n + 12)

Step-by-step explanation:

2 x 3n = 6n

2 x 12 = 24

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suppose f(x)=3x+5. describe how the graph of each function compares to f. 1) g(x)=f(x)+12 2) h(x)=f(x)-7 3) g(x)=f(x=8) 4) h(x)=
Lubov Fominskaja [6]

1)

g(x) = f(x)+12 represents translating f(x) 12 units up to get g(x). This is because y = f(x), so we're effectively adding 12 to each y coordinate of the points on f(x) to have them move to the points on g(x).

note: the term "translating" is another way of saying "shifting" or "sliding".

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

2)

h(x) = f(x)-7 means translating f(x) 7 units down to get h(x). We use the same reasoning as in problem 1. The general form is h(x) = f(x)+k, and in this case, k = -7. The negative k value tells us to shift down.

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

3)

g(x) = f(x+8) means we translate 8 units to the left. The general template is g(x) = f(x-h). If h > 0, then we shift right. If h < 0, then we shift left. The amount that is shifted is equal to the absolute value of h.

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

4)

h(x) = f(x-14) tells us to shift f(x) 14 units to the right. Same idea as problem 3, but now h = 14.

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

5)

g(x) = 4*f(x) means we vertically stretch f(x) by a factor of 4. Since y = f(x), we are effectively doing g(x) = 4*f(x) = 4*y, which pulls the y coordinates upward by a factor of 4. A point like (1,2) will jump to (1,8) after multiplying the y coordinate by 4.

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

6)

g(x) = f(5x) tells us to horizontally compress f(x) by a factor of 5. The general template is g(x) = f(a*x) where the 'a' determines horizontal stretching or compression. If 0 \le a \le 1, then we have horizontal stretching going on. If a > 1, then we'll have horizontal compression.

6 0
3 years ago
Evaluate the function:<br><br> f(x)=4x−1, find f(9)
Eddi Din [679]

Answer:

f(9) = 35

Step-by-step explanation:

To solve this, you can take 9 and replace both x's with it and then complete the equation;

f(x) = 4x - 1

f(9) = 4(9) - 1

f(9) = 36 - 1

f(9) = 35

Hope this helps!

3 0
2 years ago
HELP LAST ATTEMPT ( get marked brainliest show work
Sergio039 [100]

Answer:

B

Step-by-step explanation:

the side length is equal to sqrt(33)

sqrt(33)  = 5.74, closest to 5 3/4

4 0
2 years ago
Explain how to use the unit rate for miles per hour to
storchak [24]
I always heard ( a mile a minute) at a rate of 60 mph Jenna would travel 480 miles in 8 hours. BRAINLIEST???
7 0
3 years ago
The graph g(x) is the graph of f(x) translated (5,2,3) units (down,up,left,right) , and g(x) =(f(x-3),f(x)-5,f(x)+3,f(x-2),f(x)+
marusya05 [52]

Answer:

The graph g(x) is the graph of f(x) translated <u>2</u> units <u>right</u>, and g(x) = <u>f(x-2)</u>

Step-by-step explanation:

g(x) passes through points (0, -5) and (1, -2), then the slope of g(x) is the same as the slope of f(x), which is 3.

f(x) passes through (0, 1) and g(x) passes through (2, 1). Therefore, the graph g(x) is the graph of f(x) translated 2 units right.

f(x - c) translates f(x) c units to the right, therefore g(x) = f(x-2)

In order to check this result, we make:

f(x) = 3x + 1

f(x-2) = 3(x-2) + 1

f(x-2) = 3x - 6 + 1

f(x-2) = 3x - 5 = g(x)

3 0
3 years ago
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