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3 years ago

Simplify the expression (9 + 2i)(9 − 2i): 81 − 18i 81 + 18i 77 85

Mathematics

1 answer:

guajiro [1.7K]3 years ago

7 0

Answer:

Answer is 85. Can't simplify it anymore

Step-by-step explanation:

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I dont understand how to do this inequality 4x +6 <-6

Mama L [17]

4x + 6 < -6

First, subtract 6 from both sides. / Your problem should look like: 3x < -6 - 6
Second, simplify -6 - 6 to -12. / Your problem should look like: 3x < -12
Third, divide both sides by 4. / Your problem should look like: x < $-\frac{12}{4}$
Fourth, simplify $\frac{12}{4}$ to 3. / Your problem should look like: x < -3

Answer: x < -3

5 0

3 years ago

A toy's store percent of markup is 35%.a model train costs 100$.what is the markup

Semenov [28]

Markup =35%
Model train cost =100
So 135%=100
1%=100/135
100%=100/35)*100=74.07
Original cost =74.07

7 0

3 years ago

Read 2 more answers

Find the axis of symmetry of 2x^2 + 12x + 16 Show your work

raketka [301]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

The axis of symetry is x = h.

$y=ax^2+bx+c\to h=\dfrac{-b}{2a}$

We have

$y=2x^2+12x+16\to a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3$

<h3>Answer: x = -3</h3>

6 0

3 years ago

How do I do this homework???

Nonamiya [84]

Step-by-step explanation:

135

/ \

3. 45

/ \

3. 15

/ \

3. 5

250

/ \

10 .25

/\ / \

2 5. 5 5

351

/ \

3. 117

/ \

3. 39

/ \

3. 13

Hope it helps :)

5 0

3 years ago

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0

3 years ago