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Alisiya [41]
3 years ago
13

The polynomial P is graphed.

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (<em>x</em> + 1).

We can rewrite the binomial as (<em>x</em> - (-1)).

Therefore, <em>a </em>= -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (<em>x</em> + 1) is 3.

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PLEASE HELP !!!!
Eva8 [605]
The first answer is A because (b+6) represents the sidewalk length. (With the pool length and the two corners, which equal 3 ft each.) Then, the sidewalk width would be (h+6) for the same reason. Multiply them and get the pool area plus the sidewalk area. But you only need the sidewalk area so you would subtract the pool area from the whole area, to get (b+6)(h+6)-bh, or A in the end.

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8 0
3 years ago
What’s the correct answer for this?
ololo11 [35]

As you can see in the picture, this is 6-8-10 right triangle.

One of angles is 90° so you can find others

\tan( \alpha )  =  \frac{opp}{adj}

8/6 = 4/3

6/8= 3/4

tan-1(4/3) = 36.9 °

tan-1(3/4) = 53.1 °

tan<R= 53.1 °

Hope this helps ^-^

4 0
3 years ago
On circle C points A and B are separated by an arc whose length is 18 centimeters. If the radius of C is 8 centimeters, what is
alex41 [277]

Answer:

2.25 radians

Step-by-step explanation:

First we need to find the length of the circunference, using the formula:

C = 2 * pi * r

Where r is the radius. Using r = 8, we have:

C = 2 * pi * 8 = 50.2655 cm

Now, to find the measure of the central angle related to that arc of 18 cm, we can use a rule of three, knowing that the whole circunference has a central angle of 2pi radians:

2pi rad -> 50.2655 cm

x -> 18 cm

x = 18 * 2pi / 50.2655

x = 2.25 rad

6 0
3 years ago
At a farmers market strawberries cost $1.60 per pint, blueberries cost $2.30 per pint. A shopper bought twice as many pints of s
djverab [1.8K]

<em><u>4 pints of strawberries and 2 pints of blueberries are bought</u></em>

<em><u>Solution:</u></em>

Let "a" be the pints of strawberries bought

Let "b" be the pints of blueberries cost

Cost per pint of strawberry = $ 1.60

Cost per pint of blueberry = $ 2.30

<em><u>A shopper bought twice as many pints of strawberries as pints of blueberries</u></em>

Therefore,

a = 2b --------- eqn 1

<em><u>They spent a total of $11.00. Therefore we frame a equation as:</u></em>

pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11

a \times 1.60 + b \times 2.30 = 11

1.6a + 2.3b = 11 --------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

1.6(2b) + 2.3b = 11

3.2b + 2.3b = 11

5.5b = 11

Divide both sides by 11

b = 2

<em><u>Substitute b = 2 in eqn 1</u></em>

a = 2(2)

a = 4

Thus 4 pints of strawberries and 2 pints of blueberries are bought

5 0
3 years ago
Please simplify (5y^2)^3
mojhsa [17]

Answer:

The answer to the problem is 125y⁶

4 0
3 years ago
Read 2 more answers
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