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DaniilM [7]
3 years ago
11

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i

B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.
Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

Answer:

Step-by-step explanation:

What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i

The conjugate is 7 - i

D if correct if you just made a typo. Otherwise there is no answer.

( - 3 + i ) * (7 - i)

=============

(7 + i ) ( 7 - i)

( - 3 + i ) * (7 - i)

=============

49 - i^2

( - 3 + i ) * (7 - i)

=============

49 + 1

( - 3 + i ) * (7 - i)

=============

50

I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.

spayn [35]3 years ago
3 0

You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get

(-22 + 4i)/50 which can be simplified to

(-11 + 2i)/25

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Incomplete question. However, let us assume

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  • the time is 1 year.

Answer:

<u>$150</u>

Step-by-step explanation:

Note, the bank manager wants new customer accounts opened with at least, $3,000. Hence we have a principal, $3000. Using the simple interest formula:

S.I= \frac{amount*rate*time}{100}

SI=\frac{3000*5*1}{100} = $150

Therefore, the <em>minimum</em> amount of interest a new account would make in one year is <u>$150.</u>

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3 years ago
Slope intercept from two points<br> (3,-8) and (6,-4)
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Answer:

(3,4)

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4 years ago
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What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part
Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

1.5\times39.4=59

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

\frac{59}{39.4}=1.5

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

\frac{186}{1.06}=175

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

175\times1.06=186

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

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