Answer:
x = - 1 and x = 5
Step-by-step explanation:
Given
(x - 3)² + 2(x - 3) - 8 = 0
Let u = x - 3, then
u² + 2u - 8 = 0 ← solve for u
(u + 4)(u - 2) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 4 = 0 ⇒ u = - 4
u - 2 = 0 ⇒ u = 2
Convert back to x, that is
x - 3 = - 4 ( add 3 to both sides ) ⇒ x = - 1
x - 3 = 2 ( add 3 to both sides ) ⇒ x = 5
Complete Question:
The complete question is shown on the first uploaded image
Answer:
The probability that the random you randomly select species that are greater than 200 kg is = 7/62
Step-by-step explanation:
Step One: Load the data set in to the R work space
data(mammals,package="MASS")
attach(mammals)
Step 2 : Obtain the list of the species that are greater than 200 and store it on y variable.
y <- subset(mammals,body>200)
Step Three : Obtain the total size
nrow(mammals)
Step Four : Obtain the sum of species greater than 200
sum(body > 200)
total size = 62
size with body > 200 = 7
hence
required probability = 7/62
First we have to distribute the parentheses on the left side, 2*x is 2x and 2*-3 is -6, so now the equation is 4x+2x-6 = 8x+12
Then, we can add together the two x's on the left side,
so now we have 6x-6 = 8x+12 Subtract 12 from both sides and
you get 6x -18 = 8x Then you can subtract 6x from both the sides and get
-18 = 2x Now we can divide both sides by 2, and the final answer is -9 = x
Since they are not the same and the two sides aren't unequal, there is one solution(:
Hope this is helping you(:
