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mash [69]
3 years ago
15

Consider the functions f(x)=x−7 and g(x)=4x^3.

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

I think A is correct

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Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
3 years ago
Ivan and Tanya share £150 in the ratio 4: 1<br>Work out how much more Ivan gets compared to Tanya.​
Anastasy [175]

Answer:

Ivan got £90 more than Tanya.

Step-by-step explanation:

Ivan and Tanya share the amount £150 in the ratio of 4 : 1

Amount received by Ivan = 150\times \frac{4}{(4+1)}

                                          = 150\times \frac{4}{5}

                                          = £120

Similarly, amount received by Tanya = 150\times \frac{1}{(4+1)}

                                                             = £30

Difference in their amounts = 120 - 30

                                              = £90

Therefore, Ivan got £90 more than Tanya.                                                                                                        

7 0
3 years ago
Find the equation of the line that has a slope of -½ and passes through the point (-6,9)
skelet666 [1.2K]

Answer:

y = -1/2x +6

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = -1/2x +b

Substitute the point into the equation

9 = -1/2 (-6) +b

9 = 3+b

9-3 =b

6 =b

y = -1/2x +6

6 0
3 years ago
41:41
Minchanka [31]

Answer:

Answer: B

Step-by-step explanation:

just solve keep up learning!

6 0
3 years ago
Read 2 more answers
Select the correct answer.What is the zero of the function represents by this graph?SHORT QUICK ANSWERS ONLY NOT A TEST
Pepsi [2]

Given

Answer

The graph touches the x-axis at -6

Hence x = -6 is the zero of the graph.

6 0
1 year ago
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