If x represents a number, then write an expression for a number that is three more than the number,

Simplify the expression (4-5i)(2+6i)-(3-2i) show your work.

Anastaziya [24]

The simplification of the given expression $(4-5i)(2+6i)-(3-2i)$ , we get $-30i^2+16i+5$ .

Given expression is:

$(4-5i)(2+6i)-(3-2i)$

By applying the multiplication, we get

→ $(8-10i+24i-30i^2)-(3-2i)$

By multiplying the (-) sign into the bracket, we get

→ $8-10i+24i-30i^2-3+2i$

→ $5+16i-30i^2$

By arranging the terms, we get

→ $-30i^2+16i+5$

Thus the answer above is right.

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4 0

3 years ago

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20 POINTS BRAINLIEST math

8090 [49]

Answer:

OPTION C

Step-by-step explanation:

Given: $y = \sqrt{36 - 72} + 5$

This can be rewritten as: $y = \sqrt{36(x - 2)} + 5$

Also, since $\sqrt{ab} = \sqrt{a}.\sqrt{b}$

$\implies y = \sqrt{36}.\sqrt{x - 2} + 5$

We know that $\sqrt{36} = 6$

$\implies y = 6\sqrt{x - 2} + 5$

Hence, Option C would the answer.

6 0

3 years ago

The graph below shows interest charges accrued on 4 different credit cards. Based on the graph, which credit card appears to hav

dezoksy [38]

Answer:

The correct option is D.card 4

Step-by-step explanation:

Consider the provided graph.

The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.

The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.

Therefore, the correct option is D.card 4

4 0

3 years ago

400,000,000 + 319,238,105

Sunny_sXe [5.5K]

If you like up the numbers vertically it makes it easier to answer the problem:

400,000,000
319,238,105
——————-
719,238,105

And because it is really just zeros it is a fairly simple problem :)

8 0

3 years ago

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Joseph owns a small business selling bagels. He knows that in the last week 71 customers paid cash, 4 customers used a debit car

Dovator [93]

Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,

Total number of customers = 71 + 4 + 36 = 111

Now, the probability that the next customer will pay with cash is,

Probability

= Number of customers who pay with cash / Total number of customers

= 71 / 111

= 0.63963

To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,

Probability = 0.63963 × 100%

= 63.963% ≈ 64%

Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

Learn more about Probability here:

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7 0

1 year ago