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julia-pushkina [17]
2 years ago
5

Find the remainder when f(x) = x3 − 14x2 + 7x − 10 is divided by x − 3.

Mathematics
1 answer:
serious [3.7K]2 years ago
4 0

Answer: -88

<u>Step-by-step explanation:</u>

To find the remainder, you can use long division, synthetic division, or input the x-value.  I am going to input because it is the fastest method.

f(x) = x³ - 14x² + 7x - 10           divided by x - 3 = 0 ---> x = 3

f(3) = 3³ - 14(3)² + 7(3) - 10

     = 27 - 126  + 21 - 10

     = -88

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Compute the amount of interest earned in the following simple interest problem.
Mumz [18]

Answer:

Step-by-step explanation:

P = $295

r =7%

t = 270 days = 270/365

Interest = Prt

=295*\frac{7}{100}*\frac{270}{365}\\\\= 15.28

= $ 15.28

Amount  = 295 + 15.28

Amount = $310.28

4 0
2 years ago
Brielle and her family went to our diner. They got ice cream cone, a brownie, and a cookie. How much did they spend on dessert?
Svetlanka [38]

Answer:

$6.83

Step-by-step explanation:

A brownie costs $3.45, an ice cream costs $2.43, and a cookie costs $0.95. So $3.45 + $2.43 + $0.95 = $6.83.  If you need to know the change if they paid with $10.00 also  . . . That would be $10.00 - $6.83 = $3.17 change.

7 0
2 years ago
When Riley goes bowling, her scores are normally distributed with a mean of 160 and
e-lub [12.9K]

Answer:

The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 160, standard deviation of 13.

Middle 68% of the scores of all the games that Riley bowls.

Within 1 standard deviation of the mean, so:

160 - 13 = 147.

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The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).

6 0
2 years ago
A constant force acts on a 30-g object and produces an acceleration of 2 m/s2. Find the force in dynes.
FinnZ [79.3K]

Answer:

Force      F = 60 ×10⁻⁵ N

Step-by-step explanation:

Given that mass of the given object (m)  = 30 grams

Given that the acceleration

                                 a = 2 m/s²

<u><em>Force:-</em></u>

The push or pull on an object with mass that causes it to change its velocity

  • Force can make a body that is rest to move
  • it can accelerate the speed of a moving body

<u><em>Formula for force</em></u>

The formula for force    F = m a

                                      F = 30 × 2

                                     F  = 60 gm/s²

                                   F = 60 ×10⁻⁵ N     (∵ 1 d y n = 1gm² = 10⁻⁵N

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3 years ago
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