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polet [3.4K]
3 years ago
15

keith ran in a marathon . it took him 3 hours and 2 minutes to run 26 miles . if he ran at the same rate for the whole race , ho

w many minutes did it take him to run each mile ? (1hr=60min )
Mathematics
1 answer:
oee [108]3 years ago
4 0
It takes him 7 minutes for each mile
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Elanso [62]
7 and 4

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2 years ago
Graph y=x+1/x² and y=1/x for positive values of x.
AlekseyPX

Answer:

Graphic is showed in the figure below

Step-by-step explanation:

To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.

<em>x        y= x + 1/x²       y = 1/x</em>

1             2                    1

2          2.25               0.2

3          3.11                 0.33

4          4.06               0.25

When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞

The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x

6 0
3 years ago
Help please! :(
Mekhanik [1.2K]

Answer:

5.51 meters

Step-by-step explanation:

3 0
3 years ago
Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π
jolli1 [7]
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π  is equivalent to 180°. This plot could determine one variable if the other is given.

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3 years ago
Show that one zero of 8x230x27 is the square of the other.
murzikaleks [220]

Answer:

8x2-30x+27 has one root (9/4) the square of the other (3/2)

Step-by-step explanation:

8x2+30x+27 = (2*x+3)*(4*x+9)  => solution = {-3/2, -4/9}

One is not the square of the other because squares are positive.

8x2-30x+27 = (2*x-3)*(4*x-9)  =>

solution = {3/2, 4/9}   since (4/9 = (3/2)^2, therefore the preceding question is correct.

7 0
3 years ago
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