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labwork [276]
3 years ago
13

Let f(x)=(x+2)2.

Mathematics
2 answers:
AnnyKZ [126]3 years ago
8 0
Since you are essentially multiply the y value of f(x) by 3, you are stretching it vertically by a factor of 3.
Ksenya-84 [330]3 years ago
3 0

Answer:

A. It is stretched vertically by a factor of 3.

Step-by-step explanation:

Given are two functions

f and g

f(x) = (x+2)^2

i.e. f is a parabola with vertex at (-2,0) open up

g(x) = 3(x+2)^2

This is also a parabola with vertex at (-2,0) open up

g(x) = 3 f(x)

This means f(x) is smaller vertically than g(x)

Or f(x) is stretched vertically by a factor of 3 to get g(x)

Hence option A is true.

A. It is stretched vertically by a factor of 3.

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What is the 8th term of this geometric sequence 6,48,384,3072
ELEN [110]
Common ratio can be found by dividing the 2nd term by the first
r = 48/6
r = 8

an = a1 * r^(n-1)
n = term to find = 8
a1 = first number = 6
r = common ratio = 8
now we sub
a(8) = 6 * 8^(8-1)
a(8) = 6 * 8^7
a(8) = 6 * 2097152
a(8) = 12582912 <==
3 0
3 years ago
General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}
mixer [17]

Answer:

\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

Step-by-step explanation:

Given:

\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1

First, note that

\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x

So, the equation is

-\cos x+\sin x= -1

Multiply this equation by \frac{\sqrt{2}}{2}:

-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}

The general solution is

x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

4 0
3 years ago
What is -2 2/3 divide by -1/2
tamaranim1 [39]

Answer:

16/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the system of equations given below
Fantom [35]

y-15=3x \\-2x+5y=-3 \\ \\-2x+y-15=0 /\cdot2 \\-2x+5y-3=0 /\cdot(-2) \\ \\-4x+2y-30=0 \\4x-10y+6=0 \\ \\-8y-24=0 \\\boxed{y=-3} \\ \\-3-15=3x \\\boxed{x=-6}

The answer is C. (-6, -3)

Hope this helps.

r3t40

8 0
3 years ago
Read 2 more answers
The product of a number and 16 is equal to the sum of the number and 14​
nevsk [136]

Step-by-step explanation:

let number be x

16x = 14 + x

16x - x = 14

15x = 14

x = 14 ÷ 15

x = 0.9

7 0
2 years ago
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