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4 years ago

What number must you add to complete the square? x2 + 24x = 17

Mathematics

1 answer:

algol134 years ago

7 0

Answer:

144

Step-by-step explanation:

x^2+24x=17

b=24

(b/2)^2=(24/2)^2=12^2=144

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Which expression is equivalent to the polynomial x2-x-6

OLEGan [10]

Answer:

$(x - 2)(x + 3)$

Step-by-step explanation:

The given polynomial is

${x}^{2} - x - 6$

The factors of -6 that sums up to -1 are -3,2.

We split the middle term to obtain:

${x}^{2} -3 x + 2x - 6$

We factor to get:

$x(x - 3) + 2(x - 3)$

We factor further to get:

$(x - 3)(x + 2)$

The polynomial is equivalent to:

$(x - 3)( x + 2)$

3 0

4 years ago

A multiple choice exam has ten questions. Each question has five possible answers, of which one is correct. Suppose that a stude

Ber [7]

Answer:

8.81% probability that the student answers exactly 4 questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A multiple choice exam has ten questions.

This means that $n = 10$

The probability of answering any question correctly is 0.20.

This means that $p = 0.2$

What is the probability that the student answers exactly 4 questions correctly

This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881$

8.81% probability that the student answers exactly 4 questions correctly

4 0

4 years ago

Find the area of the regular polygon. Round to the nearest tenth. Please & Thank You!

Lelechka [254]

A=259.8 cm^2 is the correct answer

5 0

3 years ago

What is the answer to<br> a-2k-25

rosijanka [135]

A-2k=25

add 2k to both sides

so the answer is a=2k+25

3 0

3 years ago

Question part points submissions used consider the following. g(x)={((x**2-a**2)/(x-a) text(if ) x != a,4 text(if ) x =

EastWind [94]

For $x\neq a$ , we have

$\dfrac{x^2-a^2}{x-a}=\dfrac{(x-a)(x+a)}{x-a}=x+a$

So for $g(x)$ to be continuous at $x=a$ , we require that the limit as $x\to a$ is equal to 4.

$\displaystyle\lim_{x\to a}g(x)=\lim_{x\to a}(x+a)=2a=4\implies a=2$

4 0

4 years ago