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Olegator [25]
3 years ago
15

Angel got a new phone with Verizon. They charged Angel $50 each month for service, plus an additional $15 per gigabyte of data u

sed. Write an equation that models the total price of Angel's phone bill as 'y' based on the number of gigabytes used, 'x'.
Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer: 15y+50=x

Step-by-step explanation:

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Chuck earned $72.50 mowing lawns. The gas for the mower cost $11.25 and he bought a new string for the trimmer for $7.75 Write a
san4es73 [151]
We are given that:
Chunk earned : $72.5
Chunk spent: $11.25 for gas and $7.75 for new string.

We need to get the profit. Therefore, we will subtract the amount spent by Chunk from the amount he earned.

Therefore:
Chunk's profit = Amount earned - Amount spent
Chunk's profit = 72.5 - (11.25+7.75)
Chunk's profit = 72.5 - 19
Chunk's profit = $53.5
6 0
3 years ago
Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin
MAXImum [283]

Answer:

x \approx 2.278863

Step-by-step explanation:

Required

The positive root of 3\sin(x) = x

Equate to 0

0 = x -3\sin(x)

So, we have our function to be:

h(x) = x -3\sin(x)

Differentiate the above function:

h'(x) = 1 -3\cos(x)

Using Newton's method of approximation, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

Plot the graph of h(x) = x -3\sin(x) to get x_1 --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

x_1 = 2.2

So, we have:

x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}

x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}

x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641

The process will be repeated until the digit in the 6th decimal place remains unchanged

x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654

x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627

x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627

Hence:

x \approx 2.278863

4 0
2 years ago
Equation with angles can someone help me please
Bas_tet [7]

Answer:

x = 33/3 = 11

Step-by-step explanation:

A and B are corresponding angles and are therefore equal.

Thus, A = 8x - 8 = B = 5x + 25, or

                    3x          =      33

and so x = 33/3 = 11

8 0
3 years ago
Factor the binomial 9t to second power,-4 =
Naily [24]

Using subtraction of perfect squares, it is found that the factored expression is:

9t² - 4 = (3t - 2)(3t + 2).

<h3>What is the subtraction of perfect squares factoring?</h3>

It is given as follows:

a^2 - b^2 = (a - b)(a + b)

In this problem, the binomial is given as follows:

9t² - 4.

Hence:

  • a² = 9t² -> a = 3t.
  • b² = 4 -> b = 2.

Hence the factored expression is:

9t² - 4 = (3t - 2)(3t + 2).

More can be learned about subtraction of perfect squares at brainly.com/question/16948935

#SPJ1

3 0
2 years ago
Triplicate ratio of 2:1 is​
castortr0y [4]

Answer:

8/27

Step-by-step explanation:

The triplicate ratio of 2:3 is 2^3/3^3 = 8/27

HAVE A GREAT DAY!

3 0
2 years ago
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