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2 years ago

How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4?

Mathematics

1 answer:

jolli1 [7]2 years ago

6 0

Answer:

g(x) is shifted 2 units to the right and reflected over the x-axis.

Step-by-step explanation:

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What is the value of x?

Salsk061 [2.6K]

THis is a hexagon and total of internal angles = 720 degrees
so x is 720 - 112 - 133 - 128 - 100 - 120 = 127 degrees answer

4 0

3 years ago

Will somebody help me with this ? Very much appreciated!! I’ll mark u as brainliest!

Mice21 [21]

Answer:

Step-by-step explanation:

y = x - 1/4

x = 1/4 Put this value in for x

y = 1/4 - 1/4

y = 0

x = 13/4

y = 13/4 - 1/4 The denominators remain the same The numerators are subtracted.

y = (13 - 1)/4

y = 12/4

y = 3

If x is to = 2 then it must be changed so it's denominator is 4

2 = 8/4

y= 8/4 - 1/4

y = 7/4 or 1.75 or 1 3/4

3 0

2 years ago

1. Find the value of x. A. 90 B. 80 C. 60 D. 45

tia_tia [17]

Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

another way

imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).

the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

8 0

3 years ago

Ages of sylvans daughters are consecutive even integers. The sum of their ages is 60. Write an equation representing and find ag

notka56 [123]

Consecutive even integers are 2 apart
they are
x,x+2,x+4
total sum is 60
x+x+2+x+4=60
3x+6=60
minus 6 both sides
3x=54
divide both sides by 3
x=18
x+2=20
x+4=22

the ages are
18,20,22

3 0

3 years ago

Suppose the weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams. The weights

user100 [1]

Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that $\mu = 85, \sigma = 8$