Answer:
Last Option .
Step-by-step explanation:
In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.
Common factors of 36h³ = 1×2×2×3×3×h×h×h
Common factors of = 1×2×2×3×h×h×h×h×h×h
In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³
Therefore the third term will be the number which has the greatest common factor = 12h³
So the given terms are
6h³ = 1×2×3×h×h×h
12h² = 1×2×2×3×h×h
= 1×2×3×5×h×h×h×h
= 1×2×2×2×2×3×h×h×h×h×h
Therefore the greatest common factor of the term which matches with 12h³ is
Answer:
y = -x + 2
Step-by-step explanation:
Lines that are parallel have the same slope but different
y-intercepts.
So the slope of the parallel line is -x
We can input the x and y points given to solve for the new y-intercept
- y = -x + b
- 8 = -(-6) + b
- 8 = 6 + b
- b = 2
The new line is y = -x + 2. Since these two lines are the same, they are coinciding lines.
-Chetan K
Answer:
B. $450
Step-by-step explanation:
The amount of commission is the commission rate (3%) times the amount of sales to which it is applied ($5000). Garrett's commission last week would be ...
0.03 × $5000 = $150
He is also paid $300 each week in addition to his commission, so his total pay last week was ...
pay = salary + commission
pay = $300 +150 = $450
If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.
Given that a number plate can be formed using 2 alphabets which must come in increasing order.
We are required to find the number of plates that can be formed.
Number of total alphabets=26.
The number of plates will be equal to the number of ways in which two alphabets can be arranged.
Combination is the number of ways in which some combinations can be formed. It is expressed as n=n!/r!(n-r)!
Number of license plates=26*25
=26*25
=650 plates
Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.
Learn more about combinations at brainly.com/question/11732255
#SPJ4
7) Certainly there is a typo in the statement, just see that the expression of item (ii) is different from that of item (i). Probably the correct expression is:
. With this consideration, we can continue.
(i) Let E the expression that we are analyzing:
Since (x-1)² is a perfect square, it is a positive number. So, E is a result of a sum of two positive numbers, 2(x-1)² and 3. Hence, E is a positive number, too.
(ii) Manipulating the expression:
So, it's the case when E=0. However, E is always a positive number. Then, there is no real number x that satisfies the expression.
8) Let E the expression that we want to calculate:
Multiplying by (2-1) in the both sides:
Repeating the process, we obtain: