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UkoKoshka [18]
2 years ago
12

Graphs of 3 functions are shown below. In two or more sentences, explain whether or not the inverse of each graph is a function.

Mathematics
1 answer:
S_A_V [24]2 years ago
3 0
The first and third graphs inverse will still be functions  (although the first is iffy as it is hard to tell if when any x values are equal, if there are equal x values it will not be a function because then there will be multiple y values for a single x value.  In simpler terms, if there is a truly horizontal line in that first graph, its inverse will not be a function as it will fail the vertical line test.)

The second graph will not be a function as each x value will have two y values, so it fails "the vertical line test".
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Belkis is pulling a toy by exerting a force of 1.5 newtons on a string attached to the toy.
LekaFEV [45]
From what I imagine in the problem description, the toy is located on the ground. Then, Belkis is pulling on the string to keep the toy moving just like how you put a leash on a dog. My illustration is shown in the picture. The F arrow is where Belkis pulls it. Its component vectors are Fx and Fy, as shown. 

From the figure, we can see that it forms a right triangle. So, it makes it easy because the pythagorean theorems are applicable and we can easily use trigonometric functions. First, let's determine Fy which is located opposite to the angle. Since we know the hypotenuse F to be 1.5 N, so we use the sine function:

sin 52° = Fy/F = Fy/1.5
Fy = 1.182 N

For the horizontal component, Fx is parallel to the adjacent side with respect to the angle. Thus, we use the cosine function.

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8 0
2 years ago
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Write the simplest form of the expression (64/729)^(−1/6)
a_sh-v [17]

Answer:

3/2

Step-by-step explanation:

(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2

5 0
2 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
cestrela7 [59]

Answer:

Choice D - 8cm and 9cm.

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The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

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D: 8 + 8 = 16.

3 0
2 years ago
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
igor_vitrenko [27]

Answer:

mCEA = 90ᴼ because CEA is a right angle, and right angles have 90ᴼ measures.

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AEF is a right angle because if CEA is a right angle and CEF is a straight line, then AEF has to be a right angle.

4 0
2 years ago
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Tim Tradesman estimates his taxable income will be $7,500. He is paid every two weeks or 26 times a year.
alisha [4.7K]
Given:
Taxable income: 7,500
Paid every two weeks or 26 weeks in a year

Based on 2007 Federal Income Tax Table for Single Taxpayer, Tim is under the tax range over $0 but not over $7,825. The tax is 10% of the amount over $0.

<span>1. Finds the tax rate for his income level =10 %

2. Enters the base amount = $7,500

3. Enters the amount of tax owed = $7,500 * 10% = $750

4. Divides by 26 = $750 / 26 = $28.85 tax withheld from biweekly wages.</span>
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