Answer= 6.5y+12
distribute the 5 in the parentheses:
(-6y-3) + (15+12.5y)
(you can take away the parentheses after this step)
then add like terms together.
12.5y + (-6y) = 6.5y
15 + (-3) = 12
make it one expression.
6.5y + 12
Answer:
D. 8
Step-by-step explanation:
We need to count how many are longer than 7. There are 4 leaves that are 7 inches long. 3 are 8 inches long. 1 in 9 inches long. Adding these up gives us our answer. Let x be the leaves 7 inches or longer.
4+3+1=x
Add 3 and 1.
4+4=x
Add 4 and 4
8=x
There are 8 leaves that are 7 inches or longer.
A) if they were the same function, they would have identical graphs ⇒ it's not A
B) it's flipped vertically, but it's not moved ⇒it's not B
C) it's flipped vertically, not horizontally ⇒ it's not C
So it must be D)
Answer:
h=6
Step-by-step explanation:
since
is an equation for a line which intersects with the curve
. The point of intersection, let's say
, should satisfy the two equations. As a result, the value of y in the second equation can be replaced with the value of y in the first equation as the following,

therefore, the latter equation can be rewritten in a quadratic equation form as the following,
= 0
if the line is tangent to the curve, it means that the line touches the curve at one point, therefore the discernment of the second order equation will be equal to zero for the famous quadratic equation solution.

where
and
, as a result, the following equations can be deduced,

therefore, dividing both sides by 12
