Answer:
x=7
Step-by-step explanation:
I believe we are solving for x. In that case, let us start by moving 1 to the other side.
Now, we want to get rid of that denominator of 5. Let us multiply both sides by 5:
Now, we may divide both sides by 4 to get rid of the coefficiant:
When we subtract both sides by 3, we get
x=7
<em>I hope this helps! :)</em>
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
Answer: $408.96
Step-by-step explanation:
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,
