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Greeley [361]
2 years ago
6

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

Mathematics
2 answers:
Novosadov [1.4K]2 years ago
7 0

Step-by-step explanation:

It is shifted down 2 units.

ra1l [238]2 years ago
5 0

Answer:

g(x)= 3x-2, graph shifted 2 units down.

Step-by-step explanation:

g(x)= 3x-2

g(x) = 3x is a parent function.

When we compare the graph of parent function g(x)= 3x with g(x)= 3x-2, negative 2 is added at the end

f(x)---> f(x) + a , the graph will be shifted 'a' units up

f(x)-> f(x) -a , the graph will be shifted 'a' units down

g(x)= 3x-2, In this g(x) we have -2 at the end.

So the graph will be shifted 2 units down.

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A number is less than 30 but greater than 10.
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The answer is 16 and 26. Both are less than 30 and greater than 10 and have 6 in the one’s place.
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During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 pe
Lena [83]
You need to work about 12.5 hours because from your gas station job, since you work 30 hours every week, times that by 8.75$ which equals 262.5$ at the end of the week, so subtract 262.5 from 400 which is 137.5, then you need to dived that by 11 since its $ per hour, after doing that you get 12.5 hours, so you would have to work 12.5 hours at your landscaper job
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3 years ago
A cubed-shaped box has its side lengths decreased by 3 cm, when this happens, the volume decreases by 1385cm^3. What is the side
mixer [17]

Answer:

Step-by-step explanation:

let side of cube=x cm

volume=x³ cm³

again side=(x-3) cm

volume=(x-3)³ cm³

x³-(x-3)³=1385

(a³-b³)=(a-b)(a²+ab+b²)

(x-x+3){x²+x(x-3)+(x-3)²}=1385

3(x^2+x²-3x+x²-6x+9)=1385

3(3x²-9x+9)=1385

9x²-27x+27=1385

9x²-27x+27-1385=0

9x²-27x-1358=0

x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87

3 0
3 years ago
In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.
miss Akunina [59]

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

4 0
3 years ago
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