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Goshia [24]
2 years ago
15

Use the function to evaluate the indicated expressions and simplify.

Mathematics
1 answer:
Musya8 [376]2 years ago
6 0

9514 1404 393

Answer:

  • f(x²) = x² +5
  • (f(x))² = x² +10x +25

Step-by-step explanation:

Put the argument in place of x and evaluate the desired expression.

__

1. f(x²) = x² + 5 . . . . . . straight substitution for x

__

2. (f(x))² = (x +5)²

  = (x +5)(x +5) = x(x +5) +5(x +5) = x² +5x +5x +25

  (f(x))² = x² +10x +25

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Seventy percent of the engines manufactured on an assembly line are defective. Suppose engines are randomly selected one at a ti
strojnjashka [21]

Answer:

0.7

Step-by-step explanation:

Probability of defective = 0.7

P(non-defective) = 1 - 0.7 = 0.3

Let X be the trial at which we get the first non-defective

Then X follows a geometric distribution.

X ~ Geo (0.3)

What has happened already will not affect the probability.

P(atleast 2 more) = P(X > 1)

= 1 - P(X = 1)

= 1 - (0.3)

= 0.7

8 0
3 years ago
There are two numbers, that sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are th
Taya2010 [7]

Answer:

x = 18  (Smaller number)

y = 35 (Larger number)

Step-by-step explanation:

To solve, begin by setting up a system of equations.

'x' being the smaller number, while

'y' is the larger number.

We can construct the equations:

x + y = 53

3x = y + 19

Rearrange the second equation to equal 'y':

3x - 19 = y

Plug this value of 'y' into the first equation:

x + 3x - 19 = 53

Combine like terms and simplify:

4x - 19 = 53

4x = 72

x = 18

Plug in this value for 'x' into an equation to solve for 'y':

18 + y = 53

y = 35.

7 0
3 years ago
Read 2 more answers
A repairman charges an inspection fee plus $22 per hour. A customer with a coupon for 40% off the inspection fee pays $118 for a
MakcuM [25]

Answer:

Inspection fee = $50

h = 2 hours

Step-by-step explanation:

Let

x = the inspection fee

Charge per hour = $22

Number of hours = 4

A customer with a coupon for 40% off the inspection fee

This means the customer paid 60% of the inspection fee

118 = 60% of x + 22(4)

118 = 0.6x + 88

118 - 88 = .6x

30 = .6x

x = 30/0.6

x = $50

Inspection fee = x = $50

How many hours are worked when a customer pays $94 without a coupon?

94 = 50 + 22h

94 - 50 = 22h

44 = 22h

h = 44/22

h = 2 hours

5 0
2 years ago
Whats the answer for Melanie swam 918 meters in 3days .if she swam the same distance each day ,how far did melanie swim in one d
marissa [1.9K]
306 Meters each day for 3 days
6 0
3 years ago
Read 2 more answers
1: Sandy purchases a dishwasher for R6500 on a hire purchase agreement. The agreement is that the loan is to be paid off over a
Contact [7]

a) The amount Sandy will pay for the dishwasher that costs R6,500 today on hire purchase is <u>R7,772.04</u>.

b) The monthly repayments are <u>R215.89</u>.

c) The total interest paid is  R1,272.04.​

<h3>What is a hire purchase?</h3>

Hire purchase is a credit agreement that allows the buyer to make monthly payments in consideration of finance charges.

The total amount the buyer will pay periodically for the hire purchase is the cost (the price of the item) plus the total interest (finance charge).

These can be determined using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Cost of dishwasher = R6,500

Hire purchase terms = 3 years equal monthly payments

Interest rate = 12%

N (# of periods) = 36 months ( 3 x 12)

I/Y (Interest per year) = 12%

PV (Present Value) = R6500

FV (Future Value) = R0

<u>Results</u>:

Monthly payment = R215.89

Sum of all periodic payments = R7,772.04 (R215.89 x 36)

Total Interest = R1,272.04 (R7,772.04 - R6,500)

Learn more about costs of credits at brainly.com/question/4403314

#SPJ1

8 0
2 years ago
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