The independent variable is time, which varies from 0 to 0.5, so domain = [0,0.5].
The distance travelled is the dependent variable, varying from 0 to (1/2)80=40 km. The range is therefore [0,40].
Note: in interval notation, a square bracket means that the value is included in the interval.
Answer:
no, not proportional
Step-by-step explanation:
set up a proportion and see if cross-products are equal:
8/3 = 14/6
cross-multiply:
(8)(6) ≠ (14)(3)
48 ≠ 42
<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>
We have to combine the like terms
From given expression,
By distributive property,
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
a(b + c) = ab + bc
Therefore,
Solve for brackets using distributive property
Add 1/7 and 6/7
Thus the equivalent expression is found
Let u = x², then we would have u² + 5u - 6 = 0
From here, we can factor it and get us (u-1)(u+6) = 0
So our solution for u is u = -6 or 1.
Now substitute u back to x².
x² = -6 or 1
x = ±√(-6) or ±√1
Since ±√(-6) is not real number, we ignore it.
Which leave us x = ±√1 = <span>±1
So our real solution is x = -1 or 1.</span>
