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zloy xaker [14]
4 years ago
11

If g(x)= 4x^2-16 we’re shifted 9 units to the right and 1 down, what would the new equation be

Mathematics
1 answer:
ser-zykov [4K]4 years ago
6 0

Answer:

A

Step-by-step explanation:

A shift along the x-axis is the opposite in the graph than in the equation. Rather than the x-intercept(s) being negative if the equation is x - n, they become positive; likewise for the other way around. A is the only answer that follows this rule. However, the y-intercept is y = n, so if n is negative, y gets shifted down rather than up.

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Prove that in general (x + a)<br> 2 ≠ x2 + a2
qwelly [4]

Answer:

yes they are not equal because (x + a) = 2x + 2a

6 0
3 years ago
36x^2-21x-30 factor
miv72 [106K]
Easy...

to even begin to factor..you must factor out a 3, to simplify your answer.

3(12x^{2}-7x-10)

Now, you can factor.

3(12 x^{2} -7x-10)

So..to find the answer...

12*-10=-120x
and 
you would use -7x

What multiplies to -120..but adds to -7?

-15*8=-120
and
-15+8=-7

To find the answer, plug in what you know..

3(3x+2)(4x-5)

Thus, your answer.
8 0
3 years ago
A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable c
8_murik_8 [283]

Answer:

3854ft

Step-by-step explanation:

By assuming that the cable is not doubled.

in order to find the length of the base of the mountain

tan74°=3400/x

x= 3400/tan74°

x≈ 975ft

Therefore, the length of the cable equals to

            =\sqrt{3400^2+(975 + 840)^2}

length≈ 3854ft

Thus, the shortest length of cable needed is 3854ft

3 0
3 years ago
In the app you are creating, a duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down. Write a
quester [9]

Answer:

y=-2x+5. (4,-3)

Step-by-step explanation:

1) What's being asked in other words is to write a function. So the initial point is (1,3). In x-axis, a translation movement can only be to the right or to the left. Similarly for y-axis the possible movements are shifting up or down. The question says, 3 units right for x-cordinate and 6 units down for y cordinate. So the final point of this translation would be (1+3,3-6) =(4,-3)

2) To write a linear function we need to find out the slope:

m=\frac{-3-3}{4-1}=m=\frac{-6}{3} m=-2

3=1(-2)+b\\3+2=b\\ b=5\\ \\-3=4(-2)+b\\ b=8-3\\ b=5

y=-2x+5

<u>Proof:</u>

x=1

y=-2(1)+5

y=3 Then (1,3)

x=4

y=-2(4)+5

y=-8+5

y=-3 Then (4,-3)

4 0
3 years ago
Only need help with 22
zzz [600]

~hi

what you need to do is multiply the fraction

-s and that is what the awnser is

~bie~

4 0
3 years ago
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