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satela [25.4K]
3 years ago
15

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)
2S = na1 + nan
nan = 2S - na1
an = (2S - n a1)/n
6 0
3 years ago
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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

7 16/24 - 6 3/24 = 1 13/24.

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

6 0
3 years ago
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The functions f(x) and g(x) are shown.
erastova [34]

The function f(x) takes on the value 2 when x =  -7 and x = -3, and thus the corresponding points are (-7,2) and (-3,2).

The points where g(x) = 0 are called "roots" or "solutions," and is (3,0).

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

7 0
2 years ago
A cylinder has height of 12 and a diameter of 10 find the volome
diamong [38]

Answer:

942.48

Step-by-step explanation:

V=πr^2h=π·5^2·12≈942.4778

8 0
2 years ago
PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi
Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

Hypotenuse^2=Base^2+Perpendicular^2

⇒ 5^2=3^2+4^2

Let a, b, c forms a Pythagorean triplet

a^2+b^2=c^2

Multiplied by 4 on both sides

⇒ 4a^2+4b^2=4c^2

⇒ {2a}^2+{2b}^2={2c}^2

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

4 0
3 years ago
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