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Nesterboy [21]
2 years ago
7

Help find the inverse of each of the given functions

Mathematics
1 answer:
Olenka [21]2 years ago
5 0

Answer:

x=4y-12

x+12=4y

x/4+12/4=y

y=x/4+3

therefore f^-1(x)=1/4x+3

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(197)^2-(97)^2 evaluate without using calculator or table<br>​
Bezzdna [24]

Answer:

29400

Step-by-step explanation:

formula:  \\  {a}^{2}  -  {b}^{2}  = (a + b)(a - b) \\ ( {197)}^{2}  - ( {97)}^{2}  \\  = (197 + 97)(197 - 97) \\  = 294 \times 100 \\  = 29400 \\

3 0
3 years ago
Given a regular decagon, find the measures of the angles formed by (
Sonja [21]
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.

The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.

Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.

Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.




3 0
3 years ago
A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
zheka24 [161]

bottom right

Hope Your Thanksgiving Goes Well, Here's A Turkey

-TheKoolKid1O1

5 0
3 years ago
Which set of ordered pairs contains only points that are on the graph of the function y=12-3×?
irina [24]
Y= 12 -3x so if you take x as 0 y=12 x=1 y=9 x=2 y=6

(0, 12) (1,9), (2,6) are on the graph
8 0
3 years ago
A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s
Lelechka [254]

Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

P( X\geq 96)=P( X>96+0.50)

                 =P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z

*Use a <em>z</em>-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

3 0
3 years ago
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