Answer:
7.5 hours
Step-by-step explanation:
Constance's car has a 12-gallon gas tank.
She can travel 25 miles on one gallon of gas, so she can travel
miles using all gas from the tank.
Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour.
So, Constance can drive for
hours.
Answer:
There isn't a specific answer in my knowledge but the answer that's matches with most of them is 149
Answer:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13 for the function.
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4 for the inverse.
Step-by-step explanation:
we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:
g(y) = x.
now we have
y=4x-3
y=(1/4)x+3/4
The only table that works for our first function is:
x: -5, -3, 0, 1, 4
y:-23, -15, -3, 1, 13
You can see this by replacing the values of x and see if the value of y also coincides.
Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.
The second table is that one:
x:-23, -15, -3, 1, 13
y: -5, -3, 0, 1, 4
Answer:
y = (2/3)x - 1, slope-intercept form
Step-by-step explanation:
3x + 2y = - 8
2y = -3x - 8
y = (-3/2) x - 4
Slope of this line is -3/2.
For the perpendicular line slope is 2/3.
Point - slope form is
(y - y1) = m(x - x1)
Point is (3,1). Slope m = 2/3.
y - 1 = (2/3)*(x - 3)
y - 1 = (2/3)x - 2
y = (2/3)x - 1, slope-intercept form
Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
