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tangare [24]
3 years ago
7

Let the function f be defined as f(x)= 5x^2 - 7(4x+3). What is the value of f(3)

Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

f(x) = -60 is your answer

Step-by-step explanation:

Plug in 3 for x

f(x) = 5x² - 7(4x + 3)

f(x) = 5(3²) - 7(4(3) + 3)

Follow PEMDAS. First, solve the parenthesis

3² = 9

4(3) + 3 = 12 + 3 = 15

f(x) = 5(9) - 7(15)

Multiply

f(x) = 45 - 105

Simplify. Subtract

f(x) = 45 - 105

f(x) = -60

f(x) = -60 is your answer

~

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An = a1 + (n − 1)d<br> Find the 31st term of the sequence -22, -19, -16, -13,...
JulsSmile [24]

Answer:

68.

Step-by-step explanation:

The common difference d = -19 - (-22) = 3

So the 31st term =

a31 =  -22 + (31-1)3

= -22 + 90

= 90 - 22

= 68.

4 0
3 years ago
Find the value of x
Ahat [919]

recall that a circle has a total of 360°.

so that missing central angle is then 360° - 110° - 65° - 90°. Well, the arc's angle measurement is the same as the central angle they're in, so the x° is the same as 360° - 110° - 65° - 90°.

4 0
3 years ago
A parallelogram has a base of 16 centimeters and a height of 12 centimeters. What is the area of the parallelogram?
Tatiana [17]

Answer:

Correct (192)

Step-by-step explanation:

The formula for a parallelogram's area is just base times height. 16x12 is equal to 192, so you are correct.

8 0
2 years ago
Read 2 more answers
A car is purchased for S15,500. After each year, the resale value decreases by 20%. What will the resale value be after 3 years?
butalik [34]

Answer:

3 years -> value decreases by 20% 3 times

20% -> value is 80% of the original price

1st year value (after 20% decrease) = S15,500×\frac{80}{100}

                                                           = S12,400

2nd year value (after 20% decrease) = S12,400×\frac{80}{100}

                                                             = S9,920

3rd year value (after 20% decrease) = S9,920×\frac{80}{100}

                                                            = S7,936

3 0
3 years ago
Part B, what is the probability that a randomly chosen red shirt will be small?
Amiraneli [1.4K]

Thanks for the full problem. You did part A correctly but wrote "large shirt" instead of "red shirt" in the denominator. You correctly used 0.35, the probability of a red shirt.


The formula for conditional probability applied here says:


P( large | red ) = P(large & red) / P(red)


We have n=100 shirts, 5 of which are large and red


P(large & red) = 5/100


P(red) = 35/100


P(large | red) = (5/100)/(35/100) = 5/35 = 1/7 = 0.14285...


Part A answer: 14.3%


P(small | red) = P(small & red) / P(red) = (30/100)/(35/100)=6/7=.8571...


Part B answer: 85.7%






3 0
3 years ago
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