Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)
Answer: Tip- $9.16
Total bill will be $57.82
Step-by-step explanation:
Bill before tax is $45.80
6.25% sales tax implies 6.25/100 x 45.80= $2.86
20% tip = 20/100 x $45.80 = $9.16
Total bill is therefore $45.80+ $2.86+ $9.16
Mr. Garcia worked 160 hours based off of what is given in the explanation above the table.
Mrs. Garcia works 24 hours a week and there are four weeks in a month. 24 x 4 = 96 hours.
To find the total hours they worked, you add both amounts together. 160 + 96 = 256 hours.
So then, you take their total expenses which is $4,295 and divide it by how many hours they work together to get the average of how much they should get paid to meet their budget standard. $4,295/256 = $16.78
Answer:
A = -y^2 + 18
y = 9 + (81 - x)^(1/2) and y =9 - (18 - x) ^(1/2)
Step-by-step explanation:
Given:
P = 2 ( l + w)
x = length and y = width
P = 2 (x + y)
36/2 = x + y
x + y = 18
x = 18 - y
<u>Area:</u>
A = x * y
A = (18 - y) * y
A = 18y - y^2
Using quadratic formula (<u>solve for y</u>):
y = 9 + (81 - x)^(1/2) and y =9 - (18 - x) ^(1/2)
<em>//Not sure it's right.</em>
1.25 = 125/100 = 5/4 ( in standard form).
