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Dmitriy789 [7]
3 years ago
9

During which interval was the bicyclists speed the greatest?

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

The first our to the second hour

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Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
Write the equation in standard form for the circle that has a diameter with endpoints (- 1, 12) and (- 1, 8)​
matrenka [14]

Answer:

The equation in standard form is (x + 1)^{2} + (y - 10)^{2} = 4

Step-by-step explanation:

The distance from (-1, 12) to (-1, 8) = 4 = diameter of the circle.  So, 2 = radius

The center of the circle is at (-1, 10)

The equation in standard form is (x + 1)^{2} + (y - 10)^{2} = 4

3 0
3 years ago
Jerry wants to buy 4 Michelin tires. Each tire costs $213.99. Calculate his total price if the tax rate is 7.25%.
arlik [135]

Answer:

$918.02

Step-by-step explanation:

As each tire costs $213.99, you will be multiplying that by 4:

$213.99*4 = $855.96

Now you will have to add the tax to the price. You will do the following:

$855.96*.0725 = 62.0571

You will round that to $62.06

$855.96+$62.06

The total would be $918.02

3 0
3 years ago
Kendrick walked 500 m per day, every day for one week. How many kilometers did he walk all together?
Ainat [17]

Answer:

3.5

Step-by-step explanation:

500 x 7

3500/1000

3.5

8 0
3 years ago
Read 2 more answers
Katie has read 32 % of a book. If she has read 80 pages, how many more pages does Katie have left to read?
mestny [16]
Percentage of pages of a book read by Katie = 32%
Total number of pages of the book read by Katie = 80
Let us assume the number of pages that the book has = x
Then
(32/100) * x = 80
32x = 80 * 100
32x = 8000
x = 8000/32
   = 250
So the book has a total of 250 pages in it.
Then
The number of pages that Katie still needs to read = 250 - 80
                                                                                 = 170
So Katie needs to read 170 more pages in the book.

7 0
3 years ago
Read 2 more answers
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