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Inessa05 [86]
2 years ago
7

Find the roots of the polynomial equation. x2 + 24 = 11x A. 12, 2 B. 3, 8 C. –8, –3 D. –12, –2

Mathematics
2 answers:
kozerog [31]2 years ago
8 0
<span>Set equal to zero/
x^2 - 11x + 24 = 0 (x-8)(x-3) = 0
x = 8 and
x = 3 (after setting each factor equal to 0).
Choice (B) is correct.</span>
yan [13]2 years ago
5 0
I hope this helps you

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Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is (-1)^{k+1}(\frac{1}{2^{k}}).

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as (-1)^{k+1}(\frac{1}{2^{k}}).

where k is from 1 to 10.

By the given expression sequence will be \frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......

In this sequence first term "a" = \frac{1}{2}

and common ratio in each successive term to the previous term is 'r' = \frac{\frac{(-1)}{4}}{\frac{1}{2} }

r = -\frac{1}{2}

Since the sequence is infinite and the formula to calculate the sum is represented by

S=\frac{a}{1-r} [Here r is less than 1]

S=\frac{\frac{1}{2} }{1+\frac{1}{2}}

S=\frac{\frac{1}{2}}{\frac{3}{2} }

S = \frac{1}{3}

Now we are sure that the sum of infinite terms is \frac{1}{3}.

Therefore, sum of 10 terms will not exceed \frac{1}{3}

Now sum of first two terms = \frac{1}{2}-\frac{1}{4}=\frac{1}{4}

Now we are sure that sum of first 10 terms lie between \frac{1}{4} and \frac{1}{3}

Since \frac{1}{2}>\frac{1}{3}

Therefore, Sum of first 10 terms will lie between \frac{1}{4} and \frac{1}{2}.

Option D will be the answer.

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Jackson picked apples for his family. He picked a total of 6 1/2 pounds. He took 2 3/4 pounds to his aunt and 1 5/8 pounds to hi
Thepotemich [5.8K]
2 3/4+1 5/8= deducted amount of apples

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