Answer:
The student is expected to spend <em>15.4 hours </em>doing homework
Step-by-step explanation:
The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below
To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)
The equation of a line, given two points (a,b) and (c,d) is

Using the selected points

Simplifying and computing results, the equation is

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV
=15.4 hours
So the student is expected to spend 15.4 hours doing homework
Answer:
The given equation is -2x^2 = -8x + 8
This can be rewritten as 2x^2 - 8x + 8 = 0
Here the value of a =2, b = -8 and c = 8
Discriminant = b^2 - 4ac
Now plug in the above values in the discriminant, we get
= (-8)^2 - 4*2*8
= 64 - 64
= 0
Here the discriminant is 0, so we will get one real root.
The discriminant is equal to 0, which means the equation has one real number solution.
Hope this will helpful.
Thank you.
Answer:
Step-by-step explanation:
If base of variable is same, add the powers
1) x² * x * x³ * x⁵ = x²⁺¹⁺³⁺⁵ = x¹¹
2) -2n² * -n⁴ * 5n³ = (-2* -1* 5 ) *n²⁺⁴⁺³ = 10n⁹
3)-3x⁴ * 2x⁵ * - x = (-3 * 2 * -1)* x⁵⁺⁴⁺¹ = 6x¹⁰
Byron would have to work 13 hours to earn $143.00