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4 years ago

If the complex number x = 3 + bị and x/2 = 13, which is a possible value of b?

Mathematics

1 answer:

Virty [35]4 years ago

7 0

Answer:

Step-by-step explanation:

Given,

x = 3 + bị

Again,

x ÷ 2 = 13

Multiplying both the sides by 2, we can get.

(x ÷ 2) × 2 = 13 × 2

or, x = 26

As we find the value of x, we can now complete the complex number which is b.

x = 3 + bị

Putting the value of x, we can get,

26 = 3 + bi

or bi = 26 - 3

or, b = 23.

Therefore, the possible value of b = 23.

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3 years ago

A spice store charges $2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order

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Answer:

Part a) The expression is $3.2445x$

Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

Step-by-step explanation:

<u><em>The complete question is</em></u>

A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Part a) Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams

Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

step 1

Convert grams to ounces

Remember that

$1\ oz=28\ g$

To convert grams to ounces divide by 28

$25\ g=25/28= 0.89\ oz$

The unit price is

$2.75/0.89=3.09\frac{\$}{oz}$

Let

x ----> the number of ounces of paprika

y ----> the cost of buying and shipping x ounces of paprika

5%=5/100=0.05

$y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x$

Part b) For x=2.5 oz

substitute in the equation

$y=3.2445(2.5)=\$8.11$

$\$8.11 > \$8.00$

therefore

Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

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