Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
To multiply 9x475 using expanded form and the distributive property, you will break 475 into three numbers, multiply each of them by 9, and add the products together:
475 = 400 + 70 + 5
400x9 = 3600
70x9 = 630
5x9 = 45
3600 + 630 + 45 = 4,275
4000 grams in 40 hectograms
Answer:
(x+7)(x-7)
Step-by-step explanation:
This one has the standard shape of a²-b², therefore its factorization is (a+b)(a-b).
