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gayaneshka [121]
3 years ago
10

For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Answer:

D

Step-by-step explanation:

The factor theorem states if (x - h) is a factor of a polynomial p(x) then

p(h) = 0

However, p(h) ≠ 0 then the value obtained is the remainder.

Thus

p(3) = - 2

When p(x) is divided by (x - 3) then the remainder is - 2

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Diano4ka-milaya [45]

Answer:

\frac{bd}{(a + c)}  =  \frac{3 \times ( - 4)}{ (- 2) + ( - 12)}  =  \frac{( - 12)}{( - 14)}  =  \frac{6}{7} \\

<h3>6/7 is the right answer.</h3>
3 0
3 years ago
​ f(1)=72 f(n)=f(n−1)+9 ​ Find an explicit formula for f(n)
myrzilka [38]

a_{n} = 9n + 63

generate the first few terms using the recursive equation

f(1) = 72

f(2) = 72 + 9 = 81

f(3) = 81 + 9 = 90

f(4) = 90 + 9 = 99

the sequence is 72, 81, 90, 99, .....

This is an arithmetic sequence whose n th term formula is

a_{n} = a_{1} + (n - 1 )d

where a_{1} is the first term and d the common difference

d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and a_{1} = 72

a_{n} = 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula


8 0
3 years ago
What minus 10 is equal to 296?​
Varvara68 [4.7K]

Answer:

306

Step-by-step explanation:

306 - 10 = 296

5 0
2 years ago
Ezra made cookies for a bake sale. He made 13 cookies in the shape of a dog and 54 cookies in other shapes. What is the probabil
Radda [10]

Answer:

Approximately 19.4%

Step-by-step explanation:

Co. Dogs: 13

Co. Others: 54

13+54=Total Co.

=67.

Co. Dogs: 13/67.

App. 19.4% (For 13 Co.)

App. 1.49% (For 1 Co.)

4 0
3 years ago
Find 5 solutions to the question.<br><br> Y=-1.5x+2
Black_prince [1.1K]

Answer:

<em>☆</em><em><</em><em> </em><em><u>《</u></em><em><u>HOPE IT WILL HELP YOU</u></em><em>》</em><em>></em><em>☆</em>

Step-by-step explanation:

Y=1.5x+2

<h3><em><u>(</u></em><em><u>x</u></em><em><u>=</u></em><em><u>1</u></em><em><u>)</u></em></h3>

y=1.5 (1) +2

y=1.5+2

y=3.5

<h3><em><u>(</u></em><em><u>x</u></em><em><u>=</u></em><em><u>2</u></em><em><u>)</u></em></h3>

y=1.5(2)+2

y=3+2

y=5

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y=1.5 (3)+2

y=4.5+2

y=6.5

<h3>(x=4)</h3>

y=1.5 (4)+2

y=6+2

y=8

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y=1.5 (5)+2

y=7.5+2

y=9.5

<h2><em><u>please</u></em><em><u> </u></em><em><u>mark my ans as BRAIN</u></em><em><u> </u></em><em><u>LIST</u></em></h2>
3 0
3 years ago
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