Answer:
20 ; $135 ; service charge for 3 hours spent is $135
Step-by-step explanation:
Given that :
Service fee equation model :
C(h)= 75 + 20h
C = total cost of the service call
h = number of hours the plumber spends working on the problem
The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours
bx = 20h
b = 20
Charge per hour = 20
C(3) = 75 + 20(3)
75 + 60 = 135
This means that total service call charge for a plumber who spends three hours fixing a problem is $135
The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
<h3>What are the exponent and power rules?</h3>
The important exponent and power rules are:
- a⁻ⁿ = 1/aⁿ; negative exponent
- (ab)ⁿ = aⁿ × bⁿ; power of a product rule
- aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
- aⁿ/aˣ = aⁿ⁻ˣ; division rule
![a^{\frac{x}{y} } = \sqrt[y]{a^x}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%20%7D%20%3D%20%5Csqrt%5By%5D%7Ba%5Ex%7D)
; fractional exponent
<h3>Calculation:</h3>
The given expression is 
Using calculator: = 0.0265
Applying the exponent rule for evaluating the given expression:
Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒ 
Applying fractional exponent rule;
I.e.,
⇒ ![\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B126%5E%7B3%2F4%7D%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B126%5E3%7D%20%7D)
⇒ 1/![\sqrt[4]{2000376}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2000376%7D)
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
Learn more about exponent rules here:
brainly.com/question/11975096
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Answer: the first one
Step-by-step explanation:
This equation is physically unsolvable, as 12 isn't equal to 9.
Answer:
A, undefined
Step-by-step explanation:
The general rule is that vertical lines are undefined slope, because there's literally no change in x values. The vertical line test also fails, meaning there is no slope. Horizontal lines have a slope of 0, while vertical lines don't own any numbers that are important except for x-axis numbers.
If you do y2-y1 over x2-x1, you literally get 1/0 which is nothing. 0/1 = 0, but 1/0 is nothing.
Hope this helps!
