Answer: x = 4
Step-by-step explanation: 4x^2−32x+64=0
4(x−4)(x−4)=0
x−4=0 x−4=0
x=4
Answer:
-x³ + 3x² - 14x + 12
Step-by-step explanation:
Area of outer rectangle = (x² + 3x - 4) * (2x - 3)
= (x² + 3x - 4) * 2x + (x² + 3x - 4) * (-3)
=x²*2x + 3x *2x - 4*2x + x² *(-3) + 3x *(-3) - 4*(-3)
=2x³ + 6x² - 8x - 3x² - 9x + 12
= 2x³ + <u>6x² - 3x²</u> <u>- 8x - 9x</u> + 12 {Combine like terms}
= 2x³ + 3x² - 17x + 12
Area of inner rectangle = (x² - 1)* 3x
= x² *3x - 1*3x
= 3x³ - 3x
Area of shaded region = area of outer rectangle - area of inner rectangle
= 2x³ + 3x² - 17x + 12 - (3x³ - 3x)
= 2x³ + 3x² - 17x + 12 -3x³ + 3x
= 2x³ - 3x³ + 3x² - 17x + 3x + 12
= -x³ + 3x² - 14x + 12
Probability =
(number of ways it can come out the way you want it to)
divided by
(total number of ways it can come out).
Total number of ways it can come out =
number of bottles in the cooler
= (10 + 15 + 13) = 38 .
Number of ways it can come out the way you want it to =
(soda + lemonade)
= (10 + 15) = 25 .
Probability of coming out the way you want it to =
25 / 38 = about 65.8 % .
It is 546.4583333333333, which would simplify to 546.46 if to the hundredths place or 546.5 to the tens place
Answer:
Choice B. The vertex is (6,-4)
Step-by-step explanation:
