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3 years ago

Given f(x)=6x+9 and g(x)=x^4, choose the expression for (f*g) (x)

1 answer:

8 0

(f*g)(x) means multiply the rules of each function.
(f*g)(x) = (6x + 9) × $x^{4}$

= $6x( x^{4} )+9( x^{4} )$ ← Distributive property

= $6 x^{5} +9 x^{4}$ ← remember add exponents on like base when multiplying

ANSWER: $6 x^{5} +9 x^{4}$

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Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have

wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,

x represent the number of quarters.

y represent the number of nickels.

According to given statement;

25x+5y=610 Eqn 1

y = x+8 Eqn 2

Putting value of y from Eqn 1 in Eqn 2

$25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570$

Dividing both sides by 30

$\frac{30x}{30}=\frac{570}{30}\\x=19$

Putting x=19 in Eqn 2

$y=19+8\\y=27$

Brad have 19 quarters and 27 nickels.

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

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3 years ago

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denpristay [2]

yes because it passes the vertical line test

4 0

4 years ago

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andreyandreev [35.5K]

Answer:

There can be infinite possibilities as long as the slope is the same (1/3)

Step-by-step explanation:

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8 0

3 years ago

Let f(x) = -3x and g(x) = 2x-1 Find the following: (fog)(1)

Luba_88 [7]

Step-by-step explanation:

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Where does the parentheses go in 3+6 ×9+3 to made a total of 84

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Answer:

Around the 3 + 6:-

(3 + 6) x 9 + 3

Step-by-step explanation:

(3 + 6) x 9 + 3

= 9 x 9 + 3

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3 years ago

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