x - 4/5 > 1/5
+4/5 +4/5 add 4/5 on each sides, 4/5s will cancel on the left side.
__________ solve for 1/5 + 4/5, which is 1.
x > 1, is the final answer.
hope this helps :)
<h3>
Answer: D) y+3</h3>
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Explanation:
Point A is located at (3,1). Point A' is located at (-5,4)
To move from A to A', we'll do two things:
- Move 8 units to the left
- Move 3 units up
The "8 units to the left" portion has us go from x to x-8
The "3 units up" part involves y becoming y+3
So that's how we get the translation rule
. The x-8 portion is already filled in for us. The missing part is y+3 which is the final answer (choice D).
Let's try this translation rule on point B to see if we arrive at the proper location of B'
B is at (2,6) which means

which matches up what the diagram shows. I'll let you verify that the rule also works for point C.
Answer:
a. 135 is correct
Step-by-step explanation:
We have the following information:
dogs lover: 150
cats lover: 120
as the null hypothesis:
H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:
f = (150 + 120) / 2
f = 270/2 = 135
so option a. 135 is correct
C because it has an equal number of y's on each side so to solve it you would subtract 4y from both sides leaving:
5 = -6
which is not possible so there is no solutions.
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.