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disa [49]
3 years ago
7

Marvin earns $8.25 per hour at a summer job. He wants to buy a video game system that cost $206.25 write an equation to model th

e relationship between number of hours worked H and amount earned e
Mathematics
1 answer:
Olin [163]3 years ago
8 0
Amount Earned (E) = 8.25*Hours (H)

Since he wants to buy a game system you can also write this as an inequality, if the amount of the game system has any relevance in the problem.
8.25*H >= 206.25 
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5 0
2 years ago
35. Explain the difference between the reciprocal of x^2
Scorpion4ik [409]

Answer:

As you can see, the difference between the reciprocal of x^2 and the inverse of   x^2 is that \frac{1}{x^2} =x^{-2} and \sqrt{x} =x^{\frac{1}{2}.

Step-by-step explanation:

First lets find both the reciprocal of x^2 and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of x^2, 1 is the denominator, so

\frac{x^2}{1} =\frac{1}{x^2}

To find the inverse of a function, you first need swap the locations of x and y in the equation

y=x^2\\\\x=y^2

Now, you need to solve for y

y^2=x\\\\y=\sqrt{x}

Now, lets rewrite each of these to better compare them

\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}

As you can see, the difference between the reciprocal of x^2 and the inverse of

7 0
2 years ago
What values of x make this inequality true?
Alborosie

Answer:

A. x > 13

Step-by-step explanation:

x-3>10

x>10+3

x>13

3 0
3 years ago
Which equation is the slope-intercept form of the line that passes through (-3,5) and is parallel to the of y=−2\3x+5
irinina [24]

Answer:

y = -2/3x + 3

Step-by-step explanation:

y = -2/3x + b

5 = -2/3(-3) + b

5 = 2 + b

3 = b

8 0
3 years ago
Solve the triangle. A = 54°, b = 11, c = 8
Delicious77 [7]
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9 

Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
9/sin54° =  11/sinB
B = 80.4°

9/sin54° = 8/sinC
C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
5 0
3 years ago
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