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3 years ago

suppose f(x) = x2, how does the range of g(x) = f(x) + k compare to the range of f(x)? Where k is any constant value.

1 answer:

4 0

First: Please use the symbol " ^ " to indicate exponentiation. Your f(x) should be x^2, not x2. "x^2" reads "the square of x."

Let y equal g(x) = f(x) + k: y = <span>g(x) = f(x) + k. See that "k" is a y value?
If k=1, we merely translate the graph of f(x)=x^2 UP one scale division to obtain the graph of g(x) = f(x) + 1.

So, how does the range of g(x) compare to the range of f(x)? </span>

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A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?

Aneli [31]

Answer:

Step-by-step explanation:

Slope = y2-y1/x2-x1

(2,-4) = (x1,y1)

(4,2) = (x2,y2)

Slope = (2+4)/(4-2)

= 6/2

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2 = 3×4 +b

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3 years ago

What comes next in the following series?

allochka39001 [22]

The next number in the series is 30.

<h3>What is series?</h3>

It should be noted that series simply means the operation of adding values together in a data set.

In this case, it can be seen that the numbers are interchangeable between 30 and 31.

In this case, since 31 was the last number, the next number will be 30.

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2 years ago

Drinking 8 fluid ounces of milk provides 270.0 milligrams of calcium. How many fluid ounces of milk provide 72.5 milligrams of c

Margarita [4]

Set up a proportion:

$\frac{8}{270} = \frac{x}{72.5}$

The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.

Simplify the first fraction to make multiplication easier:

$\frac{8}{270} \div \frac{2}{2} = \frac{4}{135}$
$\frac{4}{135} = \frac{x}{72.5}$

Cross multiply the fractions:

$72.5 * 4 = 290$
$135x = 290$

Divide both sides by 135 to get x by itself:

$290 \div 135 = 2.1$
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2.1 fluid ounces of milk provide 72.5 milligrams of calcium.

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3 years ago

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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe

LuckyWell [14K]

Th=Ukn
Ts=27
Fh=5
Fs=4.5
x/27=5/4.5
x=30
The tree is 30 feet tall.

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3 years ago

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Image of parabola with a maximum value at (1, 9), y-intercept at (0, 8) and x-intercepts at (2, 0) and (4, 0).

natka813 [3]

Answer:

(a) 4 seconds

Step-by-step explanation:

The given point (4, 0) on the parabola tells you the answer to the question: the coin was in the air 4 seconds before its height is 0. It is no longer in the air at that point.

<em>Additional comment</em>

In order to match the rest of the problem statement, the first given x-intercept must be (-2, 0).

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2 years ago