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2 years ago

What is the remainder in the synthetic division problem below?

Mathematics

1 answer:

Zepler [3.9K]2 years ago

5 0

Answer:

Step-by-step explanation:

The synthetic division is

| 4 6 -2

1 | 4 10

4 10 8

As you can observe, the remainder in the given synthetic division is 8, because that's the ultimate result.

Therefore, the right answer is D.8

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2. A computer shop charges P20.00 per hour (or a fraction of an hour) for the first

Misha Larkins [42]

Answer:

(a) For 40 minutes the charge is P20.00

(b) For 3 hours the charge is P30.00

Step-by-step explanation:

The given parameters are;

The amount the computer shop charges for the first two hours = P20.00

The amount the computer shop charges for a fraction of an hour = P20.00

The amount the computer shop charges for each extra hour = P10.00

Therefore, the amount the computer shop will charge for each time, is given as follows;

(a) For 40 minutes, we have;

The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00

(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation

The amount charged for the first two hours = P20.00

The amount charged for the next extra hour to make 3 hours = P10.00

The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00

150 minutes = 2 hours 30 minutes

Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.

4 0

2 years ago

Please tell me the answer and show the work please

Alexeev081 [22]

In case you can't find
(1 * 10^-6)*(7.5 * 10^18) = (1*7.5) * 10^(-6+18) = 7.5*10^12
in your head, your calculator can help.

6 0

2 years ago

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –

SVETLANKA909090 [29]

We have to identify the function which has the same set of potential rational roots as the function $g(x)= 3x^5-2x^4+9x^3-x^2+12$ .

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6$

Let 'q' be the factors of 3

So, q= $\pm 1, \pm 3$

So, the rational roots are given by $\frac{p}{q}$ which are as:

$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}$ .

Consider the first function given in part A.

f(x) = $3x^5-2x^4-9x^3+x^2-12$

Here also, Let 'p' be the factors of 12

So, p= $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6$

Let 'q' be the factors of 3

So, q= $\pm 1, \pm 3$

So, the rational roots are given by $\frac{p}{q}$ which are as:

$\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}$ .

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

4 0

2 years ago

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Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Stree

Ilya [14]

The hypotenuse of the way that they have taken is equal to 2 miles. Jogging this distance with a rate of 5 miles per hour will take Jesse 0.4 hours. Further, for Mark to be back to the starting point, the total distance covered is 2.75. Dividing the distance by 12 miles per hour, it will take Mark only 0.23 hours. Thus, Mark will reach the initial point first.

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2 years ago

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Instructions: Select the correct answer from each drop-down menu. ∆ABC rotates around point D to create ∆A′B′C′. Based on t

fgiga [73]

The answer to the first part is (4,1).
The answer to the second part is (11,2).

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2 years ago

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