Answer:
f(x) = -2x² + 2
Step-by-step explanation:
If you remember the y = x² parent graph, you will be able to derive your equation from visualization.
The vertex of this graph would be at (0, 2), so your degree coefficient would be negative. Your y-intercept would also be at (0, 2). Since both 1 and -1 are included, you can tell it is a parabola, and hence the 3rd option is your answer.
Answer:
The answer to your question is 15 gallons
Step-by-step explanation:
Data
distance 1 = 340 mi
volume 1 = 10 gal
distance 2 = 510 mi
volume 2 = ?
Process
To solve this problem we know that there is a direct proportion between the distance traveled and the gasoline used. The more distance traveled, the more gasoline used.
340 mi ---------------------- 10 gal
510 mi --------------------- x
x = (510 x 10)/340
x = 5100/340
x = 15 gallons
True. To find the area of a rectangle you will multiply base times height
Do you have a pic so I can answer your question
We need to find dot products of 2 vectors:
u·v = x1*x2 + y1*y2
u·v = 2*(-6) + 3*4 = -12 + 12 = 0
Another way to write dot product u·v = |u|*|v|*cos α.
Because the do product = 0, we can write
|u|*|v|*cos α = 0.
That means cos α = 0, and thus α=90⁰, so vectors v and u are orthogonal.