Answer:
see below
Step-by-step explanation:
24 - 3 x = -27
Subtract 24 from each side
24-24 - 3 x = -27-24
-3x =-51
Divide each side by -3
-3x/-3 = -51/-3
x = 17
Check
24 -3(17) = -27
24 -51 = -27
-27 = -27
Answer:
Step-by-step explanation:
3/8 is closest to 1/2 yw btw
The complete sentence should be:
<span><em>Composite</em> numbers can be written as a product of <em>prime</em> factors. This is called the prime factorization of a number.
A prime number is a number that can't be divided by any other number other than 1 or itself. Otherwise, that is a composite number. For example, 50 is a composite number. Through prime factorization,
50
/ \
10 5
/ \
5 2
The prime factors of composite number 50 are 5, 5 and 2.</span>
<h3>
Answer: -2</h3>
===============================================
Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
Answer:
A. y= 2(x - 2)2 + 4
Step-by-step explanation:
vertex having an x value of 2 means the phrase in paren must be x - 2.
This eliminates B and D
vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2
plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10
