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k0ka [10]
3 years ago
10

Zachary purchased a computer for ​$1,300 on a payment plan. Five months after he purchased the​ computer, his balance was ​$575.

Seven months after he purchased the​ computer, his balance was ​$285. What is an equation that models the balance y after x​ months?
Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Answer:

y=1300-285x

Step-by-step explanation:

1300-575=725

725/5=145

y=1300-285x

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3 years ago
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Convert:<br> 42 centigrams 6 milligrams =<br> 1<br> milligrams
Naddik [55]

Answer:

centigram is 'bigger.'

Well, if you look on the metric scale it is apparent that 1 mg = 0.1 (or 1/10) cg suggesting that a milligram is the smaller value.

6 0
3 years ago
Brooke is making a c cylindrical bolster pillow for her couch. The pillow is 18 inches long and has a radius of 5 inches. Determ
gtnhenbr [62]

Answer:

Step-by-step explanation:

The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

radius = 5 inches

Height = 18 inches

Therefore,

Area = (2 × 3.14 × 5²) + 2 × 3.14 × 5 × 18

Area = 157 + 565.2 = 722.2

Amount of fabric needed is

722.2 square inches

7 0
3 years ago
Linda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
MA_775_DIABLO [31]

Answer: as company A charges a fix amount $93 for any distance and company B charges variable amount starting from $65.there will be a certain mileage after that the amount charged by company B should be greater than company A.

let for greater than m mileage company A will

charge less than company B.

 

charge for company A for m mileage= $93

charge for company B for m mileage= $65 + $0.70*m

 

so,

   93  ≤ 65+0.70*m

93-65 ≤ 65+0.70*m -65

  28   ≤ 0.70*m

28*10 ≤ 7 *m

280     ≤ 7m

280/7  ≤ 7m/7

    40  ≤ m

Ans: greater than 40 mileage  Company A will charge less than Company B

Step-by-step explanation:

5 0
3 years ago
MAT 171
steposvetlana [31]

Using the Factor Theorem, the polynomials are given as follows:

1. P(x) = x^5 + 2x^4 - 7x^3 + x^2

2. P(x) = 0.8(x^4 - 4x^3 - 16x^2 + 64x)

3. P(x) = -0.1(x³ - 4x² - 3x + 18)

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots x_1, x_2, \codts, x_n is given by:

f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)

In which a is the leading coefficient.

Item a:

The parameters are:

a = 1, x_1 = x_2 = 1, x_3 = x_4 = 0, x_5 = -4

Hence the equation is:

P(x) = (x - 1)²x²(x + 4)

P(x) = (x² - 2x + 1)(x + 4)x²

P(x) = (x³ + 2x² - 7x + 1)x²

P(x) = x^5 + 2x^4 - 7x^3 + x^2

Item b:

The roots are:

x_1 = x_2 = 4, x_3 = 0, x_4 = -4

Hence:

P(x) = a(x - 4)²x(x + 4)

P(x) = a(x² - 16)x(x - 4)

P(x) = a(x³ - 16x)(x - 4)

P(x) = a(x^4 - 4x^3 - 16x^2 + 64x)

It passes through the point x = 5, P(x) = 36, hence:

45a = 36.

a = 4/5

a = 0.8

Hence:

P(x) = 0.8(x^4 - 4x^3 - 16x^2 + 64x)

Item 3:

The roots are:

x_1 = x_2 = 3, x_3 = -2

Hence:

P(x) = a(x - 3)²(x + 2)

P(x) = a(x² - 6x + 9)(x + 2)

P(x) = a(x³ - 4x² - 3x + 18)

For the y-intercept, x = 0, y = -1.8, hence:

18a = -1.8 -> a = -0.1

Thus the function is:

P(x) = -0.1(x³ - 4x² - 3x + 18)

More can be learned about the Factor Theorem at brainly.com/question/24380382

#SPJ1

5 0
2 years ago
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