√z = 13 - 8
√z = 5
z = 5²
z = 25
In this case the z can be any number, however z cannot be less than 0 and that is the restriction. (for example; √-1 = irrational number, cannot be solved.)
Answer:
Line does not represent direct variation.
Step-by-step explanation:
If the line goes thru the origin, it represents direct variation. Otherwise it does not.
Start by finding the slope of this line:
As we move from (-4,3) to (4,3), x increases by 8 but y does not change. Thus, the slope is 0/8, or just 0. Thus, the equation of this line is y = 3, which does NOT go thru the origin; thus, the points given do NOT represent direct variation.
The inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150
Given:
pounds of brisket = 5 lb
Pounds of hamburger = 0.25 lb
Total pounds of briskets and hamburgers = no more than 150 lb
number of hamburgers = x
number of briskets = y
No more than in inequality = (≤)
The inequality:
5y + 0.25x ≤ 150
Therefore, inequality that can be used to represents all possible combinations of x, the number of hamburgers and y, the number of briskets that will be cooked is 5y + 0.25x ≤ 150
Learn more about inequality:
brainly.com/question/18881247
Answer:
50 grams
Step-by-step explanation:
Let the amount of cheese required by the recipe be "x"
Ann increased 60% from original amount and then used up 80 grams. Thus:
<em>Original, increased by 60%, became 80</em>
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This translated to algebraic equation would be:
x + 0.6x = 80
<u>Note:</u> 60% = 60/100 = 0.6
So we can solve the above equation for "x" and get our answer. Shown below:
Hence,
the recipe required 50 grams of cheese
Answer:
The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
