The distance from their house the Bensons' after 412 hours will be 18, 640 miles
<h3>What is a function?</h3>
A function is an expression or rule that explains the relationship between a dependent and independent variable.
Given the function;
d= 45 t + 100
Where;
- d is the total distance
- t is the time taken
If t = 412 hours
Substitute into the formula
d = 45 ( 412) + 100
d = 18540 + 100
d = 18, 640 miles
Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles
Learn more about functions here:
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The solution to the system of equations is (-3, -5) because the point satisfies both equations
<h3>What is a
linear function?</h3>
A linear function is in the form:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept
Line A:
y = x − 2 (1)
Line B:
y = 3x + 4 (2)
Solving both equations simultaneously gives:
x = -3, y = -5
The solution to the system of equations is (-3, -5) because the point satisfies both equations
Find out more on linear function at: brainly.com/question/4025726
Answer:
81 cubic feet of wood
Step-by-step explanation:
Divide it into 5 sections, each 3 feet long because it is 15 feet long.
(1*3*3) + (2*3*3) + (3*3*3) + (2*3*3) + (1*3*3) =
9 + 18 + 27 + 18 + 9 = 81
Answer:
3
Step-by-step explanation:
see image
So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
