Answer:
Dean ran 8.0467 kilometers
Step-by-step explanation:
First, you need to know how much kilometers are in a mile. 1 mile is 1.60934 kilometers, so once you found that out, then you would do 1.60934x5 which gets you 8.0467. Hope it helps!
Answer:
D) x + y ≤ -4
3x + 2y ≤ -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
we will choose the system of inequalities
x + y ≤ -4
3x + 2y ≤ -5
x + y = -4 ...(i)
3x + 2y = -5..(ii)
Multiply equation (i) with '3'
3x + 3y = -12
3x + 2 y = -5
<u> - - +</u>
<u> 0 + y = -7 </u>
<u>Step(ii):- </u>
Substitute y = -7 in equation (i)
x + y = -4
x - 7 = -4
x = -4 + 7
x = 3
<em>The solution of the given inequalities is ( 3, -7)</em>
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Answer: average time in minutes that it will take to drive from campus to workplace
Step-by-step explanation:
The dependent variable refers to the variable that the researcher is testing or measuring in an experiment. Let's say for example, we want to know the impact of reading on the examination score of a student. In this case, the dependent variable will be the examination score of the student since that's what we're measuring.
With regards to the question, the dependent variable is average time in minutes that it will take to drive from campus to workplace.
Answer: a piecewise function is a function that is defined on a sequence of intervals.
Step-by-step explanation:
A piecewise function is a function that is "different" at different intervals.
The function may behave linearly between x = 0 and x = 10, and after that point, the function may be constant for a while, then change again.
This type of functions can be written as:
f(x) = g(x) if x1 ≤ x ≤ x2
f(x) = h(x) if x2 ≤ x ≤ x3
f(x) = k(x) if x3 ≤ x ≤ x4
and so on, where g(x), h(x) and k(x) are different functions, and those functions only act on the givenintervals: (x1, x2), (x2, x3) and (x3, x4)
Answer:
x = 5 ± ![\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B7%7D)
Step-by-step explanation:
Given
x² - 10x + 26 = 8 ( subtract 26 from both sides )
x² - 10x = - 18
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 18 + 25
(x - 5)² = 7 ( take the square root of both sides )
x - 5 = ±
( add 5 to both sides )
x = 5 ±
← exact solutions