Answer:
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Step-by-step explanation:
0.7 = 7/10
One digit after the decimal point is the tens place
0.7 also equals 70/100, which can be simplified to 7/10, but 7/10 cannot be simplified
Answer:
Slope: 6
y-intercept: 8
x-intercept: -4/3
Step-by-step explanation:
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, divide 2 from both sides:
(2y - 6x - 8)/2 = (0)/2
y - 6x - 8 = 0
Isolate the variable, y. Add 6x and 8 to both sides:
y -6x (+6x) - 8 (+8) = 0 (+6x) (+8)
y = 0 + 6x + 8
y = 6x + 8
The slope intercept form is: y = mx + b, in which m = slope, and b = y-intercept.
Slope: 6
y-intercept: 8
To find the x-intercept, plug in 0 for y in the equation:
y = 6x + 8
0 = 6x + 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 8 from both sides:
0 (-8) = 6x + 8 (-8)
-8 = 6x
Isolate the variable, x. Divide 6 from both sides:
(-8)/6 = (6x)/6
x = -8/6
x = -4/3
x-intercept: -4/3
~
- f-¹(x) = 69/5y
- f-¹(x) = 13 + 4y/(y + 10)
<h3>How to determine the inverse </h3>
The steps involved in determining the inverse of a function are;
- Replace f(x) with y in the equation describing the function
- Interchange x and y
- Solve for y
- Replace y by f-1(x)
If f(x) = 4/5x + 13
y = 4/5y + 13
y = 4 + 65 /5y
f^-1 = 4 + 65 /5y
f^-1(x)= 69/5y
If f(x)= 3/x+10 + 4
y = 3/y + 10 + 4
y = 3 + 4y + 10/(y + 10)
y = 13 + 4y/(y + 10)
f^-1(x) = 13 + 4y/(y + 10)
Thus, the inverse of the functions is 69/5y and 13 + 4y/(y + 10)
Learn more about functions here:
brainly.com/question/6561461
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