Answer:
8x³ - 25x² - 3x + 18
Step-by-step explanation:
(2x + 3)(4x²- 5x + 6)
multiply 2x by each of the three terms in the second expression to get:
8x³ - 10x² + 12x
now multiply 3 by each of the three terms in the second expression to get:
12x² - 15x + 18
Combine 'like terms': -10x² + (-15x²) = -25x²
Combine 'like terms': 12x + (-15x) = -3x
Put all terms in decreasing exponent order:
8x³ - 25x² - 3x + 18
P(x) = 3x + 200
x=4 ⇒ p(4) = 3(4)+200=12+200=212
x=15 ⇒ p(15) = 3(15)+20=45+200=245
n(x) = 200(1.04)^x
x=4 ⇒ n(4) = 200 (1.04)^4 = 233.97
x=15⇒n(15)=200(1.04)^15 = 360.19
Then n(x) has the highest value in 4 years; n(x) has the highest value in 15 years
Answer:
7.7km
Step-by-step explanation:
SimplifyOkie dokie so first things first, you have to get rid of those parentheses! To do this you use the distributive property. -3(x+2) is the same thing as -3(x)+-3(2). that and you get -9=-3x-6. So you want to get x by itself to be able to find what x is, so you add 6 to both sides of the equation to get rid of the -6. So then you get -3=-3x. Then you must divide both sides by the coefficient of x, which would be -3. When you divide both sides by -3 you get -3/-3=x, which is the same thing as 1=x. Hope this helped!
To estimate this I find it easy to turn the fractions into decimals and then you can easily estimate. To turn a fraction into a decimal divide the numerator by the denominator.
