The linear equation in standard form is 
.
<h3>Linear Function</h3>
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for 
.
b= the constant term that represents the y-intercept.
The question gives: X-intercept:3 and y-intercept: 5. Then,
- The x-intercept is the point that y=0, then the x-intercept point is (3,0).
- The y-intercept is the point that x=0, then the x-intercept point is (0,5).
With this information, you can find the slope (a).
The question gives the coefficient b since it gives the y-intercept=5.
Therefore the linear equation is : .
Read more about the linear equations here:
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Growth because “appreciate” 6% per year
Initial amount = 130000
Growth/decay rate: 0.06
130000(1+0.06)^x
Hope this helps!
The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.
To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.
Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.
Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2
Now we can write the equation
f(x) = (1/2)x + 11/2
Plugging in x = 7 we find that f(7) = 9. n = 9
Total number of people in the department = 6 + 8 + 14 + 7 = 35
Total males = 6 + 14 = 20
Total female professor = 8
Total males or professor = 20 + 8 = 28
Answer:
8530
Step-by-step explanation:
The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530
