The function y = 5x has a rate of change that is in between the equation y = 4x and y = 6x.
In an equation, the rate of change is also called the slope. It is the amount that a number is increasing by. We put that value in front of the x in most equations.
In the equal that I gave, the 5 is in between the rates of 4 and 6.
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Answer:</h2>
The total number of handshakes that would happen between the three people are:
3
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Step-by-step explanation:</h2>
There are three people at a party.
Let they be denoted by A,B and C.
Now, the total number of handshakes that would occur will be denoted by:
AB, AC and BC
where AB denotes that A and B shake hands.
AC denote that A and C shake hands.
and BC denote that B and C shake hands.
Hence, total number of handshakes are:
3
ANSWER:
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
The slope can be calculated as follows:
We use the points (4,7) and (1,1) to calculate the slope:
Now, we calculate the value of b, using the point (1,1) and the slope, like this:
Therefore, the equation would be:
Answer:
y = -2 x = 0
Step-by-step explanation:
1. 3x-4y = 8
2. 18-5y = 10
Multiply equation 1 by 6
3. 18x-24y = 48
Subtract equation 2 from equation 3
4. -19y = 38
y = 38/-19
y = -2
Sub y = -2 back into equation 1
3x-4(-2) = 8
3x + 8 = 8
3x = 0
x = 0/3
x = 0
We can solve this problem by using the distance formula. The distance formula is: We can now put in values and solve.