The linear function in slope-intercept form for the cost of a visit of x hours is given as follows:
C(x) = 9x + 31.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the rate means that the slope is of m = 9. When x = 3, C(x) = 58, hence the y-intercept is found as follows:
C(x) = 9x + b
58 = 9(3) + b
b = 31.
Hence the equation is:
C(x) = 9x + 31.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
See attached picture.
Step-by-step explanation:
To graph the linear equation, convert x+y=4 into y= -x+4. This means that y= mx+b is y=-x+4. So m = -1 and b =4.
Start with b by finding 4 on the y-axis. Plot a point. Then from this point move down 1 unit and 1 unit to the right to (1,3). Plot this point. Connect the points.
Answer:
a - 8
Explanation:
7a−6+3−8a−(−2a+5)
Distribute the Negative Sign:
=7a−6+3−8a+−1(−2a+5)
=7a+−6+3+−8a+−1(−2a)+(−1)(5)
=7a+−6+3+−8a+2a+−5
Combine Like Terms:
=7a+−6+3+−8a+2a+−5
=(7a+−8a+2a)+(−6+3+−5)
=a + −8
Answer:
= a − 8
Answer:
Step-by-step explanation:
1. She omitted the 0 from the minuend, entering 24.59 instead of 204.59
2. She misplaced the decimal point of the minuend, entering 93.64 instead of 936.4
3. She typed 4 instead of 5 in the minuend, entering 46.3 instead of 56.3
The distance between ladder and bottom of the slide is 4.9 meters.
Step-by-step explanation:
Given,
Height of ladder = 1 m
Length of slide = 5 m
The ladder will serve as perpendicular and slide will serve as hypotenuse.
The distance from bottom of the slide to ladder will be base.
a = 1
c = 5
Taking square root on both sides
Rounding to the nearest tenth
b = 4.9 meters
The distance between ladder and bottom of the slide is 4.9 meters.
Keywords: square root, base
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