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yuradex [85]
3 years ago
13

For f(x) = 4x + 1 and g(x) = x2 – 5, find (f - g)(x).

Mathematics
2 answers:
iris [78.8K]3 years ago
8 0

combine like term:

4x+1-x2-5= -x2 +4x-4

x2 have no like term to combined with.

same with 4x.

but +1 and -5 could so it equal to -4

1-5=-4

out it together would equal to -x2+4x-4

Natali [406]3 years ago
4 0

Answer:

I think it's going to be D

Step-by-step explanation:

4x+1=2x-5

-4x-1 -4x-1

-2x=-4

÷2

x=-2

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440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze

<em><u>Solution:</u></em>

Let "x" be the gallons of 80 % antifreeze added

Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze

Final mixture is x + 80

Therefore, we can frame a equation as:

"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze

Thus, we get,

x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %

x \times \frac{80}{100} + 80 \times \frac{15}{100} = (x+80) \times \frac{70}{100}\\\\0.8x + 80 \times 0.15 = (x+80) \times 0.7\\\\0.8x+12 = 0.7x+56\\\\0.8x-0.7x=56-12\\\\0.1x = 44\\\\x = \frac{44}{0.1}\\\\x = 440

Thus 440 gallons of 80 % antifreeze solution must be mixed

4 0
2 years ago
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Marizza181 [45]

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Quadrilateral WILD is inscribed in circle O. WI is a diameter of circle O. What is the measure of D?
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The correct answer is A. 4/21.

Step-by-step explanation:

Given that Leo hiked 6/7 of a kilometer, while Jericho hiked 2/3 kilometers, to determine who covered a longer distance and how much longer it was, the following calculation must be performed:

Common multiple of 7 and 3 = 21

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