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valentinak56 [21]

3 years ago

13

2y 4

1 answer:

Brums [2.3K]3 years ago

8 0

Answer:

C

Step-by-step explanation:

C

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devlian [24]

Answer:

Yee yee delete this i just wanted points

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The quadratic function g(x) = a.ca + bx+c has the

Mumz [18]

<em>The value of b is 14 and the value of c is 65</em>

<h2>Explanation:</h2>

The quadratic function is a function of the form:

$f(x)=ax^2+bx+c$

Here we know that the leading coefficient $a=1$ so we reduce our equation to:

$g(x)=x^2+bx+c$

The roots are those values at which $g(x)=0$

So:

$x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\ 49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\$

$Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\ 49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0$

So we have:

$(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}$

Finding c from (1):

$33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

5 0

3 years ago

Which of the following will NOT produce a triangle?

seraphim [82]

Answer:

c) side lengths 0f 5.5 ft, 11 ft, and 5.5 ft

Step-by-step explanation:

The two shorter side lengths added together must exceed the longer side length (and equal to does not work)

8 0

3 years ago

Read 2 more answers

The distribution of blood cholesterol level in the

qaws [65]

Answer: A. Mean of sampling means $=\mu=168\ Mg/dl$

Standard deviation of sampling means = $2.86\ mg/dl$

B. The probability that your sample has mean less than 165 is 0.1492 .

Given : The distribution of blood cholesterol level in the

population of young men aged 20 to 34 years is close to normal with

mean $\mu= 168$ Mg/dl and standard deviation $\sigma= 35$ mg/dl.

Sample size : n= 150

Let $\overline{x}$ sample mean values.

A. The mean and the standard deviation of the distribution of the sampling means would be :

Mean of sampling means = $\mu=168\ Mg/dl$

Standard deviation of sampling means = $\dfrac{\sigma}{\sqrt{n}}=\dfrac{35}{\sqrt{150}}$

$=\dfrac{35}{12.2474487}\\\\=2.85773803649\approx2.86\ mg/dl$

The probability that your sample has mean less than 165 would be

$P(\overline{x}$

Hence , the probability that your sample has mean less than 165 is 0.1492 .

7 0

3 years ago

Factor the following trinomials. Place each factor in its own blank. You do NOT need to put

den301095 [7]

Answer:

(x+9)(x+4)

Step-by-step explanation:

We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36

Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q

This means x²+13x+36 can be factored into (x+9)(x+4)

7 0

3 years ago