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Volgvan
2 years ago
10

If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x)

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

(f+g)(x)=f(x)+g(x)

=(-3x-5)+(4x-2)

= -3x-5+4x-2. collect like term

= -3x+4x-5-2

= x-7. the final answer

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Solve the following equation:<br> 9n² - n - 2/3 = 0
KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - \frac{2}{9}

3 0
3 years ago
6,132 ÷ 203= Divide. Enter a solution as a mixed number
Marat540 [252]

Answer:

30.2

Step-by-step explanation:

7 0
3 years ago
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After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.
torisob [31]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

s(av) =  \frac{∆x}{∆t}  \\

s(av) = average \:  \: speed

∆x = covered \:  \: distance

∆t = time \:  \: of \:  \: the \:  \: covered \:  \: distance \\

_________________________________

s(av) =  \frac{183}{3}  \\

s(av) = 61 \:  \:  \frac{mile}{hour}

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5 0
2 years ago
How does the value of the digit 4 in 3.546 compare to the value of the digit 4 in 4.23
JulijaS [17]

Answer:

the digit 4 in 3.546 is called hundredth because it is after the decimal point you add -th behind it while the digit 4 in 4.23 is called a unit

3 0
3 years ago
Distribute -2(2x-1)(x+3), i forgot how to use the distributive property to check my work on factoring quadratics.
Gwar [14]
-2(2x-1)(x+3) = ((-2)2x - (-2)(-1))(x+3) = (-4x-2)(x+3) 
3 0
3 years ago
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