Step-by-step explanation:
if you are given an equation of a form y=kx+b, k is gradient and b is y-intercept
in c you can write this equation as y=(2x/3)-2,so gradient = 2/3 and y-intercept =-2
in e:6y=2x+3
y=x/3+1/2,gradient = 1/3, y-intercept=1/2
Answer:
It takes 85 seconds to go 12.75 miles
Step-by-step explanation:
We are given
An airplane is flying from New York City to Los Angeles
the distance it travels in Miles D is related to the time in seconds T by the equation

we are given to find time when distance is 12.75 miles
so, we can set d=12.75
and then we can solve for T

We can divide both sides by 0.15


So,
It takes 85 seconds to go 12.75 miles
Answer:
X=-1
Step-by-step explanation:first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1
Answer:
y = 5x2 + 10x - 15
We want this in format y = a(x-h)2 + k
where the vertex will be at (h,k)
y = 5(x2+2x) - 15
Complete the square on x2+2x
y = 5(x2+2x+1) - 15 - 5
We subtract 5 at the end because we are actually adding 5(1) = 5
so we need to remove it also to keep the total equal
y = 5(x+1)2 - 20
The vertex is at (-1,-20)