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babunello [35]
3 years ago
8

Find f(x) if it is known that f(x+3)=4x+12.

Mathematics
2 answers:
MArishka [77]3 years ago
8 0

Solution:

we are given that

f(x+3)=4x+12

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x\\

Hence the expression representing f(x) is f(x)=4x+3.

Masteriza [31]3 years ago
3 0
I got x= -9/5 but I may have set up the equation wrong. I did x+3=4x+12.
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omeli [17]

You solve for y

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y=-6/4x+2

y=-2/3x+2


Slope is -2/3, the number in front of x is the slope.


3 0
3 years ago
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6. A surveyor walks the perimeter of a piece of government land. He notes that the area of the land
Vlada [557]

Answer:

A) l = w + 900

B) l * w = 4,000,000

B) l = 4,000,000 / w putting this into A)

A) 4,000,000 / w = w + 900

A) 4,000,000 = w^2 +900 w

A) w^2 +900 w - 4,000,000

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width = 1,600 length = 2,500

Double-Check

1,600 * 2,500 = 4,000,000

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2,500 = 1,600 + 900

Answer is okay

Step-by-step explanation:

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3 years ago
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5 0
3 years ago
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Solve x
d1i1m1o1n [39]

Step-by-step explanation:

x^{2} - 4x - 7 = 0

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x^{2} - 4x = 7

From here, since the coefficient of the x term is -4, we know the square will be (x - 2) (since -2 it's half of -4).

To complete this square, we will need to add (-2)^{2} to both sides of the equation:

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Now we can take the square root of both sides to figure out the solutions to x:

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7 0
3 years ago
What is the slope-intercept form of the equation of the line with the slope of -5/8 that passes through the point (-14,6)
inessss [21]

Step-by-step explanation:

y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)

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x1 = -14

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y-6 = -5/8 (x--14)

y-6 = -5/8 (x+14)

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y-48/8= -5/8x-70/8

y = -5/8x - 22/8

When x = 0, y = -22/8, which makes (0, -22/8) your y intercept

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3 years ago
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