X^2 + 6x - 4y + 5 = 0
4y = x^2 + 6x + 5
y = 1/4x^2 + 3/2x + 5/4
Since, x is the squred part and x^2 has a positive coefficient, therefore, the graph opens up.
Answer:
The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water
Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.
Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute Hence, the required expression is 35 – m
Answer:
y=3
Step-by-step explanation:
perpendicular line to Y-axis passing through any point (m,n) is of the form
y=n
so the answer is
y=3
Answer: Choice A -- f(x) = (1/3)*|x|
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The input of a function is x and the output is y = f(x)
To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.
In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)
So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|
Answer:

Part A: <em>A) The number cannot be 7 as the 7 is a factor of 21.</em>
Part B: As, 5 is only number which is have a cube more than 100 and less than 200.
The Answer is 5
Step-by-step explanation:
Part A Explanation↓
Given,
The number is a prime number.
The square of the number is more than 10 and less than 100.
<em>The number is not factor of 21.</em>
The number is 5.
5 is a prime number.
The square of 5 is between 10 and 100.
<em>5 is not factor of 21. </em>
<em>___________________________________________________</em>
<em>Part B Explanation↓</em>
<em>They are asking to write the puzzle which have answer 5.</em>
<em>The answer is 5.</em>
As, 5 is only number which is have a cube more than 100 and less than 200.