Answer: q(x) = 0.005(x - 40)² + 70
<u>Step-by-step explanation:</u>
f(x) = a(x - h)² + k <em>where a is the vertical stretch and (h, k) is the vertex.</em>
Which coordinate shifts the graph up?<em> The y-coordinate for the vertex is k.</em>
p(x) = 0.005(x - 40)² + 60
q(x) = 0.005(x - 40)² + 60 <u>+ 10</u>
= 0.005(x - 40)² + 70
Answer:
Step-by-step explanation:
Samantha needs 4/5 yard of fabric to make costumes for the school play.
Let x represent the number of yards of fabric that she has
Let y represent the total number of costumes that she can make from x yards of fabric.
Since one costume require 4/5 yards of fabric, y costumes will require
x ÷ 4/5 = x×5/4 = 5x/4
The equation will be
y = 5x/4
to find how many costumes she can make with 8 yards of fabric, it becomes
y = (5×8)/4
y = 40/4 = 10
Answer:
92.5
Step-by-step explanation:
Lets say, first number = x
Second number = 3x+7
Total = 49
(x)+(3x+7)= 49
4x+7 = 49
4x = 42
x = 42/4
x= 10.5
x= 10.5
3x+7 = 3(10.5)+7 = 92.5
Hope this helps!!
Answer:
The solution is 8=r
Step-by-step explanation:
When the question states, "What is the distance from the edge of the dart board to the exact center of the bullseye (to the nearest inch)," it is basically asking to find the radius rounded to the nearest whole number given the circumference quantity.
Thus, we need to substitute the numbers already given into the radius equation.
53.3=2 x 3.14 x r
Now, divide both sides by 3.14.
16.97=2r
Again, use division property of equality and divide both sides of the equation by 2.
8.4=r ... then rounding to the nearest inch... 8=r
All things said, the solution is 8=r
I hope this helped!!
~Penny