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3 years ago

Please help me thank

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

($350×24) + $7,000 + $800 = $16,200

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The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the

gavmur [86]

Answer:

b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

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

with the roots:

(-5+9i) and (-5-9i)

b and c if a = -1

<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

(-5 + 9i) + (-5 - 9i) = -b/-1
-10 = b
b = -10

And

(-5 + 9i)(-5 - 9i) = c/-1
(-5)² - (9i)² = -c
25 - 81(-1) = -c
- c = 25 + 81
- c = 106
c = -106

g(x) = -x² -10x - 106

4 0

3 years ago

Pamela is a leading server on her volleyball team. On average she serves at 8:44% of the time. She attempts 25 serves in her nex

Dima020 [189]

Answer:

She should be expected to have 2.11 aces.

Step-by-step explanation:

I suppose there was a small typing mistake. It should be: On average she gets an ace of 8.44% of her serves.

Then

For each serve, there are only two possible outcomes. Either there is an ace, or there is not. The probability of there being an ace in a serve is independent of other serves. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

She gets an ace of 8.44% of her serves.

This means that $p = 0.0844$

She attemps 25 serves:

This means that $n = 25$

How many aces would you expect her to have

$E(X) = np = 25*0.0844 = 2.11$

She should be expected to have 2.11 aces.

8 0

3 years ago

The product of two odd numbers<br> and a multiple of 2

Vladimir79 [104]

Product of 7 which is an odd number is 49 and another odd number is 9 and the product of 9 is 81

Multiple of 2 is 2,4,6,8,10,12,14,16,18,20,22

4 0

4 years ago

Use calculus to find the volume of the following solid S S : The base of S is a circular disk with radius r. Parallel cross-sect

choli [55]

Answer:

The correct answer is: A = 1/2 bh V = integral A(x) from [-r, r].

Step-by-step explanation:

x^2 +y^2 = r^2 A = 1/2 bh b = 2y = 2sqrt[r^2 - x^2] so that gives A = 1/2 [ 2sqrt(r^2 - x^2)]h which gives A = sqrt[r^2 - x^2]h

8 0

3 years ago

Differenciate by first principles f(x) = 4x²-4x-3

zysi [14]

$f(x) = 4x^2-4x-3\\
f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}\\
f'(x)=\lim_{h\to0}\frac{4(x+h)^2-4(x+h)-3-(4x^2-4x-3)}{h}\\
f'(x)=\lim_{h\to0}\frac{4(x^2+2hx+h^2)-4x-4h-3-4x^2+4x+3}{h}\\
f'(x)=\lim_{h\to0}\frac{4x^2+8hx+4h^2-4h-4x^2}{h}\\
f'(x)=\lim_{h\to0}\frac{8hx+4h^2-4h}{h}\\
f'(x)=\lim_{h\to0}{8x+4h-4}\\
f'(x)=8x+4\cdot0-4\\
f'(x)=8x-4\\$

3 0

4 years ago

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