Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
Answer:
The volume formula is pi r^2h because it is similar to the formula to the area of a circle with an extra addition of the height variable, since a cylinder is just a circle with depth. The surface area formula is 2pirh +2pi r^2 because it measures the area of both circles as well as the depth. This formula is similar to the circumference formula of a circle.
Step-by-step explanation:
Mark me brainliest pls
Answer: 91 coins
9 x 25 = 2.25 dollars
3 x 10 = 30 cents
1 x 5 = 5 cents
Answer:
Step-by-step explanation:
<u>Event A - spinning violet or yellow</u>
Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.
<u>Event B - rolling an even number</u>
Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6. Therefore, the even numbers are 2, 4 and 6.
Events A and B are <u>independent events</u> as the outcome of one event does not affect the outcome of the other event.
For independent events A and B:
To find P(A and B), substitute the found values of P(A) and P(B):
Answer:
0x+11y=-11
Step-by-step explanation:
hope this helps
plzz mark me brainliest
