The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
brainly.com/question/8495504
Answer: 6.4b - 32
Step-by-step explanation:
Answer:
245 miles driven.
Step-by-step explanation:
A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars
Let x be the number of miles and y be the number of days
total change =0.17x + 10y
Given total change is 61.65 and number of days = 2
plug in the values and find out the number of miles
61.65 = 0.17 x + 2(10)
61.65 = 0.17 x + 20
subtract 20 on both sides
41.65 = 0.17x
Divide by 0.17 on both sides
x = 245
245 miles driven.
If the bikes original price was $112.99...
and it's 75% off you have to multiply the original price by the percentage thats left which is 25%...
$112.99×.25%=28.25
ANSWER: b)28.25
Answer:
see explanations
Step-by-step explanation:
The given blue line has a slope of m = -1/2.
The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:
(y-y0)=m(x-x0)
substitute values
(y-3) = (-1/2)(x-2)
Expand and transpose
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4 ....................(1)
We choose the second equation b. x+2y=8 and convert to slope-intercept form:
2y=-x+8
y = (-1/2)x + 4, which is exactly equation (1)
So
b. x+2y=8 is the correct answer.
