Can someone help with this question
1 answer:
Question # 55
We can see the trend from the given graph. From Monday to Thursday the price kept on decreasing while on Friday it increased. So first the price decreased and then increased.
Therefore, the correct answer to this question is option C. The price decreased at the beginning of the week and then increased at the end of the week.
Question # 56.
The schedule of athlete allows no more than 75 minutes of training. This means the training time is 75 minutes or less. One round of strength training requires 8 minutes. So s rounds of strength training will require 8s minutes. One round of endurance training require 12 minutes, so e rounds of endurance training will require 12e minutes.
The total time of both these trainings can be written as:
8s + 12e
We know that the time can be 75 minutes or lesser. So we can write the inequality as:
8s + 12e ≤ 75
So, option H is the correct answer
Question 57
The given equation is:
2y = - 3(x - 2)
In order to identify the slope we need to write the equation if slope intercept form. When written in slope intercept form, the coefficient of x term is the slope of the line. In order to write in slope intercept form, isolate y on one side as shown below:
So, the slope of line is -3/2.
Hence option B is the correct answer
We can see the trend from the given graph. From Monday to Thursday the price kept on decreasing while on Friday it increased. So first the price decreased and then increased.
Therefore, the correct answer to this question is option C. The price decreased at the beginning of the week and then increased at the end of the week.
Question # 56.
The schedule of athlete allows no more than 75 minutes of training. This means the training time is 75 minutes or less. One round of strength training requires 8 minutes. So s rounds of strength training will require 8s minutes. One round of endurance training require 12 minutes, so e rounds of endurance training will require 12e minutes.
The total time of both these trainings can be written as:
8s + 12e
We know that the time can be 75 minutes or lesser. So we can write the inequality as:
8s + 12e ≤ 75
So, option H is the correct answer
Question 57
The given equation is:
2y = - 3(x - 2)
In order to identify the slope we need to write the equation if slope intercept form. When written in slope intercept form, the coefficient of x term is the slope of the line. In order to write in slope intercept form, isolate y on one side as shown below:
So, the slope of line is -3/2.
Hence option B is the correct answer
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Answer:
When do you hit the water?
1.075 seconds after you jump.
What is your maximum height?
the maximum height is 12.5626 ft
Step-by-step explanation:
The equation:
h(t) = -16*t^2 + 6*t + 12
Is the height as a function of time.
We know that the initial height is the height when t = 0s
h(0s) = 12
and we know that the diving board is 12 foot tall.
Then the zero in h(t)
h(t) = 0
Represents the surface of the water.
When do you hit the water?
Here we just need to find the value of t such that:
h(t) = 0 = -16*t^2 + 6*t + 12
Using the Bhaskara's formula, we get:
Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)
The positive solution is:
t = (-6 - 28.4)/-32 = 1.075
So you hit the water 1.075 seconds after you jump.
What is your maximum height?
The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.
We know that the vertex of a general quadratic:
a*x^2 + b*x + c
is at
x = -b/2a
Then in the case of our equation:
h(t) = -16*t^2 + 6*t + 12
The vertex is at:
t = -6/(2*-16) = 6/32 = 0.1875
Evaluating the height equation in that time will give us the maximum height, which is:
h(0.1875) = -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626
And the height is in feet, then the maximum height is 12.5626 ft