Answer:
B
Step-by-step explanation:
Y=7-3x
Y=10 if x=-1
1-*7-3
=10

Substitute this into the parabolic equation,

We're told the line
intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know

We can tell from the quadratic equation that
has its vertex at the point (3, 6). Also, note that

and

so the furthest to the right that
extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So
; in set notation,

Let the number be a ....
=>Number doubled : 2a ..
=>Eight less than the no. Doubled : 2a - 8
=>Eight less than the no. doubled is 20 more than the no. : 2a - 8 = 20 + a
=>2a - 8 - 20 - a = 0
=>2a -a - 20 -8 = 0
=>a -28 = 0
=>a = 28
=>so the number is 28...
Hope it helps!!!
Answer:
Step-by-step explanation:
1 yard = 3 feet = 36 in
so 1 in = 1/36 yard, 1 ft = 1/3 yard.
The volume of the layer of the topsoil, is:
4 in * 28 ft * 14 ft = 4 *(1/36)*23*(1/3)*17*(1/3) yard cubed =
(4*28*14)/(36*3*3)= 1955/324=
The store only sells increments of 1/4 = 0.25 cubic yards.
we need 6.034/0.25=
So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.