Rationalize the denominator, divide by 4, add 2.
Answer:
when the distance driven per day is 100 miles
Step-by-step explanation:
Start by writing an equation for the daily charge of each company
Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;
p(x) = 24 + 0.4 x
u(x) = 38 + 0.9 x
when would u(x) be twice the p(x) charge?
u(x) = 2 p(x)
38 + 0.9 x = 48 + 0.8 x
0.9 x - 0.8 x = 48 - 38
0.1 x = 10
x = 100
so, such happens when the distance driven per day is 100 miles
Answer:
20
Step-by-step explanation:
√8=2
3(2^2)=12
√32=6
2+12+6=20
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
