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natima [27]
2 years ago
7

Rocco runs 7 laps in 9 minutes. How many laps per minute is that?

Mathematics
1 answer:
Llana [10]2 years ago
6 0

Answer:

Rocco runs 7/9 laps per minute

Step-by-step explanation:

9 minutes ---> 7 laps

1 minute --> 7/9 laps

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the perimeter of a scalene triangle is 14.5 cm. the longest side is twice that of the shortest side. which equation can be used
madreJ [45]
Let a = longest side      <em> (Establishing labels)</em>
let b = shortest side
let c = third side

P = 14.5                <em>     (Given)</em>
a = 6.2
b = 1/2(a)

P = a + b + c
P = 6.2 + 3.1 + c        <em>(Fill in given info in equation)</em>

P = 9.3 + c                <em>(Simplify)</em>

14.5 = 9.3 + c           <em>(Simplify)</em>

c = 14.5 - 9.3           <em>(Solve)</em>
c = 5.2

Hope this made sense!
5 0
3 years ago
Read 2 more answers
Calculus graph please help
tresset_1 [31]

Answer:

See Below.

Step-by-step explanation:

We are given the graph of <em>y</em> = f'(x) and we want to determine the characteristics of f(x).

Part A)

<em>f</em> is increasing whenever <em>f'</em> is positive and decreasing whenever <em>f'</em> is negative.

Hence, <em>f</em> is increasing for the interval:

(-\infty, -2) \cup (-1, 1)\cup (3, \infty)

And <em>f</em> is decreasing for the interval:

\displaystyle (-2, -1) \cup (1, 3)

Part B)

<em>f</em> has a relative maximum at <em>x</em> = <em>c</em> if <em>f'</em> turns from positive to negative at <em>c</em> and a relative minimum if <em>f'</em> turns from negative to positive to negative at <em>c</em>.

<em>f'</em> turns from positive to negative at <em>x</em> = -2 and <em>x</em> = 1.

And <em>f'</em> turns from negative to positive at <em>x</em> = -1 and <em>x</em> = 3.

Hence, <em>f</em> has relative maximums at <em>x</em> = -2 and <em>x</em> = 1, and relative minimums at <em>x</em> = -1 and <em>x</em> = 3.

Part C)

<em>f</em> is concave up whenever <em>f''</em> is positive and concave down whenever <em>f''</em> is negative.

In other words, <em>f</em> is concave up whenever <em>f'</em> is increasing and concave down whenever <em>f'</em> is decreasing.

Hence, <em>f</em> is concave up for the interval (rounded to the nearest tenths):

\displaystyle (-1.5 , 0) \cup (2.2, \infty)

And concave down for the interval:

\displaystyle (-\infty, -1.5) \cup (0, 2.2)

Part D)

Points of inflections are where the concavity changes: that is, <em>f''</em> changes from either positive to negative or negative to positive.

In other words, <em>f </em>has an inflection point wherever <em>f'</em> has an extremum point.

<em>f'</em> has extrema at (approximately) <em>x</em> = -1.5, 0, and 2.2.

Hence, <em>f</em> has inflection points at <em>x</em> = -1.5, 0, and 2.2.

7 0
2 years ago
Which steps will generate an expression equivalent to 17(+5)
Bingel [31]

For this case we must indicate an expression equivalent to:

17 (x + 5)

By definition we have that the distributive property establishes that:

a (b + c) = ab + ac

Then, applying the property to the given expression we have:

17 (x + 5) = 17 * x + 17 * 5 = 17x + 85

Thus, an equivalent expression is:

17x + 85

ANswer:

17x + 85

6 0
3 years ago
Ginger's brother is 6 years younger than she is. Ginger's brother is 7 years old. Write and solve an equation that will determin
AleksAgata [21]
Ginger is 6 years older than her brother, so add 6 years to his age. 6+7=13. Ginger is 13.
8 0
3 years ago
Is a triangle with sides of length 6 ft., 21 ft., 23 ft. a right triangle?
allochka39001 [22]

Yes It is a right triangle

Don't forget to make me the brainiest

6 0
2 years ago
Read 2 more answers
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