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VMariaS [17]
3 years ago
8

What transformation occurs to f(x) in the function f(x)-7

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0

Answer:

left 7

Step-by-step explanation:

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find the variance and standard deviation of the given set of data to the nearest tenth. 440,130,280,500,150,640,760
Westkost [7]

Answer:

The variance is 49595.9

The standard deviation is 222.7

Step-by-step explanation:

The step -by -step explanation is shown in the picture above.

8 0
3 years ago
Determine the central angle and sum of exterior angles of an irregular nonagon
ololo11 [35]

Answer:

Step-by-step explanation:

You cannot find the exterior angles of any irregular nonagon. If it is a regular one, then you can. A regular nonagon has 9 sides and so 9 exterior angles all of which are equal to 360/9 = 40 degrees. The interior angle = 180 - 40 = 140 degrees.

7 0
3 years ago
If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Michael earned $159 mowing lawns all summer. If he mowed 39 lawns, about how much did he make per lawn?
monitta
Divide 159 by 39 to get around $4.08
4 0
3 years ago
Need help on this answer
ziro4ka [17]
It is not correct because the second answer tells you how far to go up and down, not across.
7 0
4 years ago
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