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Mekhanik [1.2K]
3 years ago
12

If f(x)= 3x² – 2, find (-3)*f(x)

Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Answer:

-9x^2 +6

Step-by-step explanation:

f(x)= 3x² – 2

-3 f(x) = -3 * (3x² – 2)

Distribute

          = -9x^2 +6

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Please help !! Thank you so much !
Alekssandra [29.7K]

Answer:

A, because m is less than 4.4 so 4.4, is gonna be greater

6 0
3 years ago
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If a bus driver get paid $20,000 a year and he works 35 weeks a year how many weeks will it take for him to earn $2000
alexgriva [62]

Answer:

3.5?

Step-by-step explanation:

2,000 is 10% of 20,000

3.5 is 10% of 35



7 0
3 years ago
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How much did the first national road cost to construct? A) $2 million B) $30 million C) $50 million D) $7 million
Strike441 [17]

The answer to the question is $2 million

5 0
3 years ago
I’m Really lost if I could get a answer it would be greatly appreciated
Nataly [62]
<h3>Answers:</h3>

f(g(x)) = \sqrt{x^2+5}+5\\\\g(f(x)) = x+30+10\sqrt{x-1}

================================================

Work Shown:

Part 1

f(x) = \sqrt{x-1}+5\\\\f(g(x)) = \sqrt{g(x)-1}+5\\\\f(g(x)) = \sqrt{x^2+6-1}+5\\\\f(g(x)) = \sqrt{x^2+5}+5\\\\

Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.

------------------

Part 2

g(x) = x^2+6\\\\g(f(x)) = \left(f(x)\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}+5\right)^2+6\\\\g(f(x)) = \left(\sqrt{x-1}\right)^2+2*5*\sqrt{x-1}+\left(5\right)^2+6\\\\g(f(x)) = x-1+10\sqrt{x-1}+25+6\\\\g(f(x)) = x+30+10\sqrt{x-1}\\\\

In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2

In this case, a = sqrt(x-1) and b = 5.

You could also use the box method as a visual way to expand out \left(\sqrt{x-1}+5\right)^2

6 0
3 years ago
What is the equation of the parabola?
Neporo4naja [7]

Answer:

y = -1/8 x² + 5

Step-by-step explanation:

Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)

basic formula: y = a(x - h)² + k

y = a (x-0)² + 5

y = ax² + 5         pass (4,3)

3 = 16a + 5

a = (3-5)/16 = -1/8

equation: y = -1/8 x² + 5

check: pass another point (-4,3)

-1/8 * (-4)² + 5 = -2 + 5 = 3

5 0
3 years ago
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