Answer:
Given: b = -2
h = 4
Parent function y = root x or y = √x
Using the following equation we can find out the equation of the graph:
Step-by-step explanation:
90% in a fraction is the same as 90/100 simplified, is 9/10.
Hope this helps
Answer:
x = 10 - 10sqrt(3)/3
Approximately 4.2265 cm
Volume = 1539.6 cm³
Step-by-step explanation:
Let the height be x
V = (20 - 2x)(40 - 2x)x
V = (800 - 80x - 40x + 4x²)x
V = 4x³ - 120x² + 800x
dV/dx= 12x² - 240x + 800 = 0
3x² - 60x + 200 = 0
x = [60 +/- sqrt(60² - 4(3)(200))]/6
x = [30 +/- 10sqrt(3)]/3
x = 10 +/- 10sqrt(3)/3
Approximately,
15.7735 and 4.2265
d²V/dx² = 24x - 240
For max, d²V/dx² < 0
So, x = 4.2265
V = (20 - 2x)(40 - 2x)x
Plug in x = 10 - 10sqrt(3)/3
V = 1539.600718
Answer:
Step-by-step explanation:
squirrel speed (r) x seconds (3) has to be more than 34 feet
3r is greater than 34
r is greater than 11.3
34 / 3 = 11.333
11.3 (squirrels speed) x 3 (seconds) = 33.9 feet
the squirrel can run faster than 11.3
Hello!
Elimination is where you add or subtract two equations to get rid of a variable
(5x + 5y = -5) + (5x - 5y = 25)
This gives us 10x = 20
Divide 10 from both sides
x = 2
We can put x in to one of the original equations to get y
5(2) + 5y = -5
Combine like terms
10 + 5y = -5
Subtract 10 from both sides
5y = -15
divide both sides by 5
y = -3
The answer to the first one is (2, -3)
For the second one we can subtract the equations
(2x - 3y = 0) - 2x + y = 8
This gives us 4y = 8
Divide by 4 on both sides
y = 2
We can put y into one of the original equations to get x
2x + 2 = 8
subtact 2 from both sides
2x = 6
Divide both sides by 2
x = 3
The answer to the second one is (3,2)
Hope this helps!
