Don’t understand what your asking in the first one. Choosing a vowel out of the word counting would be 3/8. And picking a consonant out of the word prime would be 3/5.
Every 3rd number is even with 2 odd numbers in between successive even numbers.
999/3 = 333 x 2 = 666.
Answer:
The y-intercept refers to the y-coordinate of a point where a curve or a line, intersects the y-axis.
In the given equation, the y-intercept is ( 0, 9.5).
Step-by-step explanation:
We have been given the equation;
y=0.10x+9.50
The y-intercept is simply the y-coordinate of a point where the line intersects the y-axis. At this point, the value of x is usually zero.
y = 0.10 (0) + 9.50
y = 0 + 9.50
y = 9.50
is our y-intercept
Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
