4 pencils . 4/9 of an hour = 4/9 of 60 minutes = 4/9 * 60 = 80/3 minutes
x pencils = ? . one hour = 60 minutes
14 * 60 = 80/3 * x /*3
14 * 60 * 3 = 80 * x
80 * x = 2520 /80
x = 2520 / 80
x = 31.5 pencils
The result would be 32 pencils in one hour.
-30-5x=-4x-6(5+4x)
First, you need to use the distributive property on the right to get -30-5x=-4x-30-24x
Then, you can add like terms to get -30-5x=-30-28x
Then, you can add 30 to both sides and add 5x to both sides to get 0=-23x
Finally, you divide both sides by -23 to get 0=x
Answer: See attached.
Step-by-step explanation:
For [a], we graph the parent function (y = x²), but shift it downwards 2 units.
For [b], we graph the parent function (y = x²), but shift it downwards 6 units, shift it to the right 2 units, and apply a compress factor of 3.
Answer:
-3x+3y
Step-by-step explanation:
-10x+3y+7x
-3x+3y
Answer:
x = 0, x = 2/3
Step-by-step explanation:
x / 4 = x² / (x + 2)
x = 4x² / (x + 2)
x * (x + 2) = 4x²
x² + 2x = 4x²
3x² - 2x = 0
x(3x - 2) = 0
x = 0, x = 2/3