Step-by-step explanation:
f(x) = -16x² + 22x + 3
Factor:
f(x) = (8x + 1) (-2x + 3)
The x-intercepts are (-1/8, 0) and (3/2, 0).
The leading coefficient is negative, so the parabola points down. Therefore, the vertex is a maximum. The x-coordinate is halfway between the x-intercepts.
x = (-1/8 + 3/2) / 2
x = 11/16
f(11/16) = 169/16
So the vertex is at:
(11/16, 169/16)
Graph the x-intercepts and the vertex, then draw a curve through the 3 points.
Answer:
72
Step-by-step explanation:
Answer: 40.13% of the soda bottles will have a volume less than 32 oz.
First, we need to find the z-score. That is the number of standard deviations below the mean.
(32 - 32.3) / 1.2 = -0.25
A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.
2x - 24 = x - 2
2x - x = -2 + 24
x = 22
BC = x = 22
The triangle on the left area is 18 because the area of a triangle is 1/2 b times h so 12 times 3 times 1/2 equals 18.you then cut a triangle from the quadrilateral to make into a triangle.The triangle is the same height has other triangle so its area is 18.Since you took three for base of left and right triangle you subtract 6 from 1 to make it your base of 8 and your height is 12 and 12 tikmes 8 is 96 so 18+18+96=132 so our answer is 132.