Answer:
-x^2 +x
Step-by-step explanation:
f(x) = 1-x^2
g(x) = 1 - x
f(x) - g(x) = 1-x^2 - (1 - x )
Distribute the minus sign
= 1-x^2 -1 +x
Combine like terms
= -x^2 +x
Answer:
The answer is the last one (32x^7y^15)
You can bring x to the second power (x^2) because (x) is basically x^1. This is a basic exponent rule. (x^m)^n = x^m times n.
Then you can apply this rule to (2xy^3)^5. First you bring two to the fifth power and get 32. Then you bring x^5 according to the rule. Then you bring y^15, also because of the rule.
Now you have:
x^2 times 32x^5y^15
Now you just multiply the like terms together (x^2 and x^5)
When you multiply two exponents with the same base, you add the exponents together: a^n times a^m = a^n+m.
So you end up with 32x^7y^15
Answer:
5.3x - 4 .
Step-by-step explanation:
(6.7x -3) - (3.4x - 1) + (2x - 2)
1. using the commutative property:
= 6.7x - 3 + 2x - 2 - (3.4x - 1) (we can remove the parentheses around the first 2 groups because they are added).
2. Using the distributive property on the last group:
= 6.7x - 3 + 2x - 2 - 3.4x + 1 (distributing the negative over the parentheses).
3. Now adding like terms we get:
5.3x - 4 (answer).
(-2d² + s)(5d² - 6s)
Simplify.
(-2d² × 5d²) + (-2d² × 6s) + (s × 5d²) + (s × -6s)
Simplify.
-10d² + (-12d²s) + (5d²s) + (-6s²)
Take out the parenthesis.
-10d² - 12d²s + 5d²s - 6s²
Combine like terms.
-10d² + (-12d²s + 5d²s) - 6s²
Simplify.
-10d² - 7d²s - 6s²
~Hope I helped!~
Answer:
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
Step-by-step explanation:
We know:
-A normal distribution
-Mean μ = 69.0 in
-Standard deviation σ = 2.8 in
- Population n = 350
And doors height 72 in
If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to
Z = ( X - μ ) / σ ⇒ Z = ( 72 - 69 ) / 2.8
Z = 1.07
Now with this value we look the Z tables, to find a value of: 0.8577
So the probability of select a men and that he can fit through the door is
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
