Answer: cd(x) = 4x³ — 2x² + 8x — 4
Step-by-step explanation:
c(x) = 4x - 2
d(x) = x² + 2
Therefore, cd(x) = c(x) × d(x)
cd(x) = (4x - 2)(x² + 2)
= (4x × x²) + (4x × 2) + (-2 × x²) + (-2 × 2)
= 4x³ + 8x -2x² - 4
cd(x) = 4x³ — 2x² + 8x — 4
Hope this helps?
Let the width = x -12
the length = x
we have this area equation: x(x-12)=380.16
=>x^2-12x-380.16=0
=>(5x-132)(5x+72)=0
=>x= 132/5 and x= -72/5 (no)
=>The width of the poster is: 132/5 -12 =72/5 inches
The slope is 5/1 and the y-intercept is -3
Answer:
z = 2.1
Step-by-step explanation:
This tells us that the person's score of 121 places them 2.1 standard deviations above the mean score of 79.
Answer:
x = 13 and y = 13√3
Step-by-step explanation:
Recall that sin Ф = opposite side / hypotenuse, and that
cos Ф = adjacent sice / hypotenuse.
if we recognize that the angle Ф is 30° here, then we know that:
x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.
and....
y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3
In summary, x = 13 and y = 13√3
