Answer: y= -2/5x + 2
Step-by-step explanation:
Y= Mx + b
M is the slope
B is the y intercept
The y intercept will be out on the y axis
The slope will be rise over run ( do you first then do to the right!)
Answer:
40
Step-by-step explanation:
1. multiply all terms by the same value to eliminate fraction denominators (n times 5/8 = n times 25/n)
2. cancel multiplied terms that are in the denominator (n times 5/8 = 25
3.re order terms so constants are on the left (5/8n =25)
4. combine multiplied terms into a single fraction (5n/8 = 25)
5. multiply all terms by the same value to eliminate fraction denominators (8 times 5n/8 = 8 times 25)
6. cancel multiplied terms that are in the denominator (5n=8 times 25)
7. multiply the numbers (5n = 8 times 25 5n= 200)
8. simplify (n=40)
Answer:
X is equal to 7
Step-by-step explanation:
Open parenthesis.
3/4x +63/4=21/2
take common denominator
3/4x=42/4-63/4
Solve
3/4x=-21/4
3x=21
x=7
Using a linear function, it is found that it will take 13 hours for the candle to burn down to a height of .25 inches.
<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.
Considering the situation described, the y-intercept is of 10 while the slope is of -0.75, hence the height of the candle after t hours is given by:
h(t) = 10 - 0.75t
The height will be of 0.25 inches when h(t) = 0.25, hence:
0.25 = 10 - 0.75t
0.75t = 9.75
t = 9.75/0.75
t = 13 hours.
More can be learned about linear functions at brainly.com/question/24808124
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