Answer:
y = 7/2x + 2
Step-by-step explanation:
To put the equation in slope intercept form [ y = mx + b ], we need to solve for y.
14x = 6y - 12
~Subtract 6y to both sides
14x - 6y = -12
~Subtract 14x to both sides
-6y = -12 - 14x
~Divide -6 to everything
y = 2 + 7/3x
~Reorder
y = 7/2x + 2
Best of Luck!
58.7266666667
That would be the answer. Hope this helps!
Ok so we have the parabola at origin of y=-12 and crosses x-axis at points x=1,8 so, we could just look at where it crosses the x-axis and find it directly from there. it crosses x-axis at 1 and 8 so the answer can only be A to fit this criteria
Let's first write down the equations which we will require to solve for this problem.
Equation No. 1 -
x km/h = y mph
Equation No. 2 -
8 km/h = 5 mph
First of all, we will make y the subject by calculating the km/h when mph = 1. We will accomplish this by dividing both sides by 5 as displayed below:
Equation No. 2 -
8 km/h = 5 mph
5 mph = 8 km/h
5 / 5 mph = 8 / 5 km/h
1 mph = 8 / 5 km/h
Through this, we have found out:
m = 8 / 5
We will use the y = mx formula in order to obtain our final equation. We will substitute the value given in the second equation into the formula.
y = mx
y = ( 8 / 5 ) x
We need to find two relations, and use them to find the value of y when z = 15.
We will see that the value of y in that case is 4,860.
We know that <u>y varies inversely with the square of x</u>, also <u>y is also proportional to the cube of z</u>
Then we can write:
y = k/x^2
y = c*z^3
We also know that:
When x = 3, y = 80.
Replacing that in the first equation to find the value of k:
80 = k/3^2
80 = k/9
80*9 = k = 720
We also know that when x = 2, z = 5
From the first relation we have:
y = 720/2^2 = 720/4 = 180
Now we replace this in the equation of y and z:
y = c*z^3
180 = c*5^3
180 = c*125
180/125 = c = 1.44
Now we need to calculate y when z = 15, then we just need to replace z by 15 in the equation for y and z:
y = 1.44*(15)^3 = 4,860.
If you want to learn more, you can read:
brainly.com/question/2548537
