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gizmo_the_mogwai [7]
3 years ago
5

Consider the function f(x) = 2^x

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

The graph of function g is the graph of function f shifted 6 units up

Step-by-step explanation:

If you plug in the values, g(x) = 2^{x} + 6. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.

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How do you evaluate a polynomial function?
amm1812

Step-by-step explanation:

Replace each x in the expression/equation with the given value. Then use order of operations to simplify and solve. There are some great videos out there explaining the concept.

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3 years ago
Gabriel cycles 1,200 meters in 6 minutes. What is his speed?
svet-max [94.6K]
Well divide the numbers to find the unit rate so it’s 200 meters in a minute I think
3 0
3 years ago
Which of the following is the equation of a line perpendicular to the line, , passing through the point (3,9)?
julsineya [31]
Y = -3/2x + 4...slope is -3/2
A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So that means the slope we will need is 2/3...see how I flipped the slope and changed the sign.
Now we use y = mx + b....slope(m) = 2/3....(3,9)...x = 3 and y = 9.
Time to sub...we r looking for b, the y intercept.

9 = 2/3(3) + b
9 = 2 + b
9 - 2 = b
7 = b 

so the perpendicular equation is : y = 2/3x + 7...but we need it in Ax + By = C form....
y = 2/3x + 7....multiply by common denominator of 3 to get rid of fractions
3y = 2x + 21...subtract 2x from both sides
-2x + 3y = 21....<== ur answer...normally, I would have multiplied this by -1 to make x positive...but that is not an answer choice
5 0
3 years ago
What is the measure, in degrees, of an angle that represents 50/350 of a circle?
JulsSmile [24]

Answer:

\mathrm{A.\: 50^{\circ} }

Step-by-step explanation:

Since there are 360 degrees in a circle, we can set up the following proportion:

\frac{50}{360}=\frac{x}{360},\\360x=50\cdot 360,\\x=\boxed{50}

8 0
3 years ago
the average rate of change of the function f(x) on the interval -3≤x≤3 is -2.5. If (-3)=14 then which of the following is the va
oksian1 [2.3K]

The average rate of change of <em>f(x)</em> on -3 ≤ <em>x</em> ≤ 3 is given to be

(<em>f</em> (3) - <em>f</em> (-3)) / (3 - (-3)) = -2.5

If <em>f</em> (-3) = 14, then

(<em>f</em> (3) - 14) / (3 + 3) = -2.5

(<em>f</em> (3) - 14) / 6 = -2.5

<em>f</em> (3) - 14 = -15

<em>f</em> (3) = -1

4 0
3 years ago
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