Answer:
8 thousand dollars
Step-by-step explanation:
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24
To find maximum profit , we need to find out the vertex
x coordinate of vertex formula is -b/2a
a=-2 and b = 16
Now we plug in 4 for x and find out P(4)
= 8
So the maximum profit the company can earn is 8 thousand dollars when price = $4
To make one serving you need 3cups/8servings = 3/8 cup.
To make 6 servings you need 3/8cup * 6 servings = 9/4 cups = 2.25 cups.
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x - ← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.
Answer:
See below
Step-by-step explanation:
In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.
In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.
In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.