Answer:
The equation you are given is a quadratic. The standard form of a quadratic is y = a(x-h)2 + k where (h,k) is the vertex of the graph, which is a parabola. Vertically moving the graph 4 units upward means that you are moving k +4 units.
y = a(x-h)2 + k standard form
y = 5x2 - 4 original equation
y = 5(x-0)2 - 4 re-written in standard form
h = 0 k = -4
Four (4) units up is k + 4--->-4 + 4 = 0.
Therefore, f(x) = 5x2 + 0--->f(x) = 5x2.
Step-by-step explanation:
hope this helps
plz mark brainliest
Answer:
Step-by-step explanation:
We know that the length is four times the width, so:
We also know the area, which is 324 m². The formula for area:
Insert the known values:
Solve for w. Simplify by removing parentheses:
Divide 4 from both sides to isolate the variable:
Find the square root of both sides:
The width is 9 m.
We know the width. Now find the length by using the area formula and inserting known values:
Solve for l. Divide both sides by 9:
The length of the rectangle is 36. (You can check: 4 times 9 is 36)
Now find the perimeter:
Insert values:
The perimeter is 90 m.
Answer:
11.1
Step-by-step explanation:
G o o g l e
Answer:
16
Step-by-step explanation:
First of all, I think it was "respectively", not "respecfully", =))). A noticeable point.
From the problem, three item's costs are represented by three consecutive even integer.
Thus, we can call cost of spoiler is x, sunroof is x-2, stereo is x + 2. It is conditioned that x is an even number.
Since the sum of the three is 48, we have
(x-2) + x + (x+2) = 48
x+x+x -2 +2 = 48
3x =48
x=16
So the spoiler is 16; thus, the sunroof is 14 and the stereo is 18
Answer:
No 5/6 is greater
Step-by-step explanation:
2/4 is half. Half of 6 is 3.
