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3 years ago

Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

1 answer:

8 0

A. (f + g)(x) = f(x) + g(x) = 4x - 5 + 3x + 9 = 7x + 4

B. f.g (x) = f(x) * g(x) = (4x - 5)*(3x + 9) = 12x^2 + 36x - 15x - 45
= 12x^2 + 21x - 45

C Replace the x in f(x) by g(x):-
= 4(3x + 9) - 5
= 12x + 36 - 5
= 12x + 31

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What is 8.07 × 102 in standard form

SOVA2 [1]

Answer:

8070

Step-by-step explanation:

Given:

8.07

1000

8070

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3 years ago

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lutik1710 [3]

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3 years ago

9. The ages of A and B are in the ratio 3:5. Four years later,

Tom [10]

Answer:

A = 15 B = 25 in four years 19+29 = 48

Step-by-step explanation:

age A and B ratio is 3 to 5

A+4 + B+4 = 48

A + B = 40

A/B = 3/5 A = 3B/5

A + B = 40

3B/5 + B = 40

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8 0

3 years ago

Read 2 more answers

A manufacturing firm just received a shipment of 20 assembly parts, of slightly varied sizes, from a vendor. The manager knows t

Marat540 [252]

Answer:

a. 0.75

b. 0.5526

c. 0.1974

Step-by-step explanation:

Probability is typically expressed as a fraction where the numerator is the number of desired outcomes and the denominator is the total number of outcomes. In this case the suitable parts is the desired outcome and the total shipment is the total parts:

$\frac{suitable}{total}=\frac{15}{20}=\frac{3}{4}=0.75$

The probability the both the first and second part are suitable:

$\frac{15}{20}*\frac{14}{19}=\frac{210}{380}=0.5526$

Since the probability of getting a suitable part the first time is 15/20, then there is one less suitable part and one less part overall to choose on the second time, or 14/19.

Lastly, the probability of choosing a suitable part the first time is again 15/20, but the second part not being suitable would be 5/19:

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3 years ago

To ensure he never eats the whole cake, Bobby only decides to eat half of what’s left for each serving. If 2/3 of the cake are l

siniylev [52]

1st serving: 2/3 * 1/2 = 2/6 or 1/3
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48

1/3 + 1/6 + 1/12 + 1/24 + 1/48
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48

16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48

Bobby ate 31/48 of the cake in total.

4 0

3 years ago