3 gallons in 15 seconds would be 3/15
so for 1 gallon 15/3 = 5
it would be 1 gallon every 5 seconds so 1/5
The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.
<h3>What is the solution to the given inequality?</h3>
It follows from the task content that the solution of the given inequality; ( 29 / 289z ) < ( 16 / 161 ) z is to be determined.
Since the given inequality is;
( 29 / 289z ) < ( 16 / 161 ) z
By cross multiplication; we have;
161 × 29 < ( 16z × 289z )
( 161 × 29 ) / ( 16 × 289 ) < z²
1.00973183 < z²
Therefore;
1.00485413 < z. OR. -1.00485413 > z.
Ultimately, z < - 1.00485413 OR z > 1.00485413.
Read more on inequalities;
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The transformation from f(x) to g(x) is a vertical stretch by a factor of m
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = x
g(x) = mx
Substitute f(x) = x in g(x) = mx
g(x) = mf(x)
From the question, we understand that:
m > 1
This means that;
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
Read more about transformation at:
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Answer:
170 people I believe
Step-by-step explanation:
93 + 47 = 140
140 + 25/2 = 140 + 13 = 170
Answer:
It is the rate of change (how far it goes up or how far it goes down)
Step-by-step explanation:
The slope of a line is a measure of how fast it is changing. This can be for a straight line -- where the slope tells you exactly how far up (positive slope) or down (negative slope) a line goes while it goes how far across. Slope can also be used for a line tangent to a curve. Or, it can be for a curved line when doing Calculus, where slope is also known as the "derivative" of a function. Either way, think of slope simply as the "rate of change" of a graph
Example: if you have a slope of 2 your equation would be y=2x+1
You would always do rise over run. rise over run means when you put your slope in a fraction the numerator would always go up or down and the denominator would be run and run means you would go left or right. it all depends on if it is positive or negative.
Hope this helps good luck @(^_^)@
