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____ [38]
3 years ago
13

Katie can swim 3 laps in the pool on 6 minutes. How many minutes will it take her to swim 10 laps?

Mathematics
1 answer:
storchak [24]3 years ago
8 0

3 laps : 6 minuets

6/3 = 2

3/3 = 1

1 lap : 2 minuets

1 * 10 = 10

2 * 10 = 20

10 laps : 20 minuets

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Use the x-intercept method to find all real solutions of the equation -9^3-72^2-96x+36=3x^3+x^2-3x+8
Vadim26 [7]

Answer:

 x ≈ 0.290640965127

Step-by-step explanation:

y subtracting the right side of the equation, we get a function that is zero at a real solution for x. The only x-intercept is at approximately 0.290640965127.

___

The graph shows the x-intercept to be 0.2906. The value above was obtained by Newton's method iteration. The roots of this cubic will all be irrational.

7 0
2 years ago
Help show work<br> Thank you
Anika [276]
1.) v=(l)(w)(h)
V=(9)(9)(9)
V=(81)(9)
V=729in^3

2.) (I forget if this is the real equation to this but this would give you the same answer)

V=(l)(w)(h)
————
2
V=(8)(6)(12)
————-
2
V=576/2

V=288cm^3
7 0
3 years ago
Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5
makkiz [27]
We have that
<span>y=-1/3(x+2)</span>²<span>+5

using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0)  and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>

7 0
2 years ago
Find the value of the lesser root of x2 + 12x + 35 = 0.
matrenka [14]
In quadratic equations,
                                   a + b = -B
                                      ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
                                  a + b = -12
                                      ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7. 
8 0
3 years ago
Hello can you please help me posted picture of question
irina [24]
We are to form the combination of 6 objects taken 2 at a time. This can be expressed as 6C2

6C2= \frac{6!}{2!*4!} \\  \\ &#10;= \frac{6*5}{2} \\  \\ &#10;=15

This means, there can be 15 different combinations of 2 members that can sit in the front row.

So, the answer to this question is option A
6 0
3 years ago
Read 2 more answers
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