12x+(24x+7)=37 x=?/? Help
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Answer:
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
- Hence, function 1 has a greater rate of change
The initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
- Hence, function 2 has a greater initial value.
Step-by-step explanation:
Function 1)
Determining rate of change for function 1:
x 1 2 3 4
y 5 8 11 14
Finding the rate of change or slope using the formula
Rate of change = m = [y₂-y₁] / [x₂-x₁]
Taking any two points, let say (1, 5) and (2, 8)
Rate of change = m = [8-5] / [2-1]
= 3/1
= 3
Therefor, the rate of change of function 1 = m = 3
using point-slope form to determine the function equation
y-y₁ = m (x-x₁)
where m is the rate of change or slope
substititng m = 3 and the point (1, 5)
y - 5 = 3(x - 1)
y - 5 = 3x-3
y = 3x-3+5
y = 3x + 2
Thus, equation of function 1 will be:
y = 3x + 2
Determining Initial Value for Function 1:
substituting x = 0 in the equation to determine the initial value
y = 3(0)+2
y = 0+2
y = 2
Therefore, the initial Value of function 1 will be: y = 2
Function 2)
Determining the rate of change for function 2:
Given the function 2
comparing with the slope-intercept form of a linear function
y = mx+b where m is the rate of change
so the rate of change of function 2 = m = 5/3
Determining Initial Value for Function 2:
substituting x = 0 in the equation to determine the initial value
Therefore, the initial Value of function 2 will be: y = 3
Conclusion:
The rate of change of function 1 = 3
The rate of change of function 2 = 5/3
- Hence, function 1 has a greater rate of change
The initial Value of function 1 = y = 2
The initial Value of function 2 = y = 3
- Hence, function 2 has a greater initial value.
Answer:
Monday he walked
Wednesday he walked
Friday he walked
Step-by-step explanation:
Given Mason walked on Monday, Wednesday and Friday. These distances were six-eights mile, one-fourth mile, and one-sixth mile. He did not walk the farthest on Monday. He walked less on Friday than Monday. we have to find how far he walked each day.
distances are that are 0.75, 0.25 and 0.17 respectively.
Now, he didn't walk farthest on Monday and also walked less on Friday than Monday.
∴ Less distance travelled is which is on friday and then
on monday.
Rest distance which is on wednesday.
Hence, Monday he walked
Wednesday he walked
Friday he walked