Answer:
1) When x is 1, y is 4, and vice versa
2) When x is -6, y is 42, and when x is 7, y is 114
3) When x is -2, y is 2, and when x is 8, y is 42
Step-by-step explanation:
1)

which can be rearranged as
.
Substituting this lone y into the first equation, you get:

Move everything to one side:

Factor:



2)
which can be rearranged as
.

Let's use elimination this time and subtract the first equation from the second:

Factor:



3)


Let's set the two equations equal to each other through substitution:

Move everything to one side:

Factor:



Hope this helps!
Answer:
h(2) = 0
Step-by-step explanation:
To evaluate h(2) , substitute x = 2 into h(x), that is
h(2) = - 2 + 2 = 0
Answer:
<h2>1.46 x 10^5</h2>
Step-by-step explanation:
Answer:
2.515
Step-by-step explanation:
1. First you add the equation for a cone and a half sphere
(1/3*pi*r^2*h)+(1/2*4/3*pi*r^3)
2. You replace h with 2*r2 because height is 2*Diameter
(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)
3. You make the equation equal 100
(1/3*pi*r^2*r2)+(1/2*4/3*pi*r^3)=100
4. Solve for
r=2.515
Answer:
17; 22; 27; 32
the terms increase by 5 each time
17 + 5 = 22 (the second term)
17 + 5 * 2 = 27 (third term)
So to get to the 52nd term, we have to add 5* 51 = 255 to 17
17 + 255 = 272
Step-by-step explanation: