Jose is driving to Denver. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in

Mathematics

1 answer:

PolarNik [594]3 years ago

3 0

Answer:

63.2 miles

Step-by-step explanation:

The given slope and point can let us use the point-slope form of the equation for a line:

y = m(x -x1) +y1

y = -0.95(x -50) +48

We want to find the value of y for x=34.

y = -0.95(34 -50) +48 = 63.2

Jose had 63.2 miles remaining after driving 34 minutes.

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S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?

Veseljchak [2.6K]

S = n(a1 + an)/2
2S = n(a1 + an)
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For numbers 14a-14d , tell which expressions require you to rename mixed numbers before you can subtract. Find each difference.

ExtremeBDS [4]

Answer:

14b and 14d require renaming mixed numbers; 14a) 3 3/20; 14b) 2 1/8; 14c) 1 13/24; 14d) 3 3/6 = 3 1/2

Step-by-step explanation:

14a) First we find the least common denominator (LCD). The first thing that both 5 and 4 will divide into is 20; this is our LCD.

It takes 4 5's to make 20; multiplying the numerator by 4, we have 5 8/20. It takes 5 4's to make 20; multiplying the numerator by 5, we have 2 5/20. Subtracting these,

5 8/20 - 2 5/20 = 3 3/20

14b) We must write the whole number 5 as a mixed number with a denominator of 8; 5 = 4 8/8. This gives us

4 8/8 - 2 7/8 = 2 1/8

14c) The LCD of 3 and 8 is 24. It takes 8 3's to make 24; multiplying the numerator by 8, we have 7 16/24. It takes 3 8's to make 24; multiplying the numerator by 3, we have 6 3/24. Subtracting we have

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14d) The LCD of 6 and 3 is 6. Since the first mixed number has a denominator of 6, we leave it: 9 1/6. It takes 2 3's to make 6; multiplying the numerator by 2, we have 5 4/6. Subtracting we would have

9 1/6 - 5 4/6

We are subtracting a larger fraction from a smaller one. This means we borrow a whole from the whole number, making it 8; this makes the fraction (6+1)/6 = 7/6. This gives us

8 7/6 - 5 4/6 = 3 3/6 = 3 1/2

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f(x) > g(x) on the approx. interval (-9, -3/4).

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