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Zanzabum
3 years ago
11

I will give brainliest to correct answer

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

Answer:

D

Step-by-step explanation:

If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as

p(x)/x+k = q(x) + r/x+k

where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes x^{1} and no higher exponents), the remainder is a real number.

Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.

The question states that p(3) = −2, so it must be true that

−2 = p(3) = (3+k)q(3) + r

Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.

A. −2=p(3)=(3+(−5))q(3)+0

−2=(3−5)q(3)

−2=(−2)q(3)

This could be true, but only if q(3)=1

B. −2=p(3)=(3+(−2))q(3)+0

−2=(3−2)q(3)

−2=(−1)q(3)

This could be true, but only if q(3)=2

C. −2=p(3)=(3+2)q(3)+0

−2=(5)q(3)

This could be true, but only if q(3) = −2/5

D. −2=p(3)=(3+(−3))q(3)+(−2)

−2=(3−3)q(3)+(−2)

−2=(0)q(3)+(−2)

This will always be true no matter what q(3) is.

Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.

The final answer is D.

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. Trisha walked
neonofarm [45]

Answer:

b

Step-by-step explanation:

she walked for the first place in a while to be crying for a sec

7 0
3 years ago
In circle O, AD and BE are diameters. What is MAE?
liraira [26]

Answer:

132°

Step-by-step explanation:

∠AOB = ∠EOD = 3x ( vertical angles )

∠AOB + ∠BOC = 90, that is

3x + 0.5x + 34 = 90

3.5x + 34 = 90 ( subtract 34 from both sides )

3.5x = 56 ( divide both sides by 3.5 )

x = 16

∠AOE + ∠EOD = 180 ( straight angle )

∠AOE + 3x = 180

∠AOE + (3 × 16) = 180

∠AOE + 48 = 180 ( subtract 48 from both sides )

∠AOE = 132°



5 0
3 years ago
Read 2 more answers
which identifies all the integer solutions of |x| = 14?  A.–14 and 14  B.14 only  C.–14 only  D.0 only
NemiM [27]
|x|=14\ \ \ \Leftrightarrow\ \ \ (x=14\ \ \ or\ \ \ x=-14)
7 0
3 years ago
What term should be added to y2-14y to make it a perfect square<br> trinomial?
Ksju [112]

Answer:

49

Step-by-step explanation:

Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.

To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.

- The coefficient of y is -14.

multiplying the coefficient of y by 1/2 will give -14/2 = -7

- squaring -7 will result in (-7)²

= 49

The constant that will be added to the binomial to make it a perfect square trinomial is 49

4 0
3 years ago
Find sin(b) in the triangle.<br> A.4/3<br> B.3/5<br> C.3/4<br> D.4/5
DerKrebs [107]

The value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

<h3>What are the trigonometric ratios?</h3>

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

In the given figure, the side opposite to the angle \beta is AC = 4 and the hypotenuse is AB = 5.

So, the sine ratio will be equal to,

\sin \beta=\dfrac{4}{5}

Therefore, the value of \sin \beta in the given triangle ABC is \dfrac{4}{5}. Option D is correct.

Learn more about trigonometric ratios here:

brainly.com/question/1201366

#SPJ1

7 0
2 years ago
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