Answer:
y = (x - 5)² - 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (5, - 2), thus
y = a(x - 5)² - 2
To find a substitute (7, 0) into the equation
0 = a(7 - 5)² - 2
0 = 4a - 2 ( add 2 to both sides )
2 = 4a ( divide both sides by 4 )
a = =
y = (x - 5)² - 2 ← in vertex form
Let t be time and r be rate, then if time varies inversely with the rate, the equation is
. If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.
. Solve for k by multiplying 5 and 80 to get that k = 400. Now let's find a new time t when r is a rate of 70. We will use that k value to do this:
and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph. Makes sense that it takes longer to drive a fixed distance when you are going slower.
Answer:
Well in order to find the equation you are looking for you first must find the slope of the line. Since it gives you two points at (-4, 1) and at (0, 4), use these points to find the slope.
y = (3/4)x + 4 is the answer
Step-by-step explanation:
Tell me if it is wrong
<em> I would appreciate a brainliest</em>
Have a great day! :3
Answer:
i^2 = -1.
i^71=(i^70)i=(i²)^35×i=(-1)^35×i=-1×i=-i
Final result :
4x3yz2 • (3x - 2y2)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "z2" was replaced by "z^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((12•(x4))•y)•(z2))-((23x3•y3)•z2)
Step 2 :
Equation at the end of step 2 :
(((22•3x4) • y) • z2) - 23x3y3z2