Answer:
y = 3x - 1
Step-by-step explanation:
Although the coordinate plane is not given, we don't need it to find the solution. We have given all the conditions enough for the solution.
The y-intercept is (-1) and the function passes through the point ( 1, 2 ).
Only the function y = 3x -1 matches these conditions.
We can observe the points in the attached graph.
Answer:
George has 64 nickel and 32 dimes.
Step-by-step explanation:
Normally, we have:
One nickel = 5 cents
One dime = 10 cents
One dollar = 100 cents
Therefore, total number of cents that George has can be calculated as follows:
Total number of cents = $6.40 * 100 = 640 cents
Based on the above, we have:
640 cents = 640 / 5 = 128 nickel
640 cents = 640 / 10 = 64 dimes
Therefore, we have:
128 nickel = 64 dimes
Divide through by 2 in order to share 640 cents equally, we have:
128 nickel / 2 = 64 dimes / 2 => 64 nickel = 32 dimes
Since 64 minus 32 is equal to 32, it therefore implies that George has 64 nickel and 32 dimes.
The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.
<h3>How do the Sides of Similar Triangles Relate?</h3>
The corresponding sides of similar triangles have ratios that are equal to each other.
The corresponding sides and their ratios are:
4/12 = 1/3
5/15 = 1/3
Therefore, the ratio of their sides in its lowest term is:
C. 4/12 = 5/15 = 1/3
Learn more about the similar triangles on:
brainly.com/question/2644832
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In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
