Answer:
He must win 11 more matches to qualify for the bonus.
Step-by-step explanation:
24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.
If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.
Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...
35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.
Hope that helps!
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
Standard form of the polynomial is 
.
Degree of the polynomial is 7.
Solution:
Given polynomial:
<u>To write this polynomial in standard form:</u>
Standard form of the polynomial is writing x from highest power to lowest power.
Therefore, standard form of the polynomial is
<u>Degree of the polynomial:</u>
The highest power of x in the polynomial is the degree of the polynomial.
Here, the highest power is 7.
Hence the degree of the polynomial is 7.
The first thing you should do is make the equation 4x+1=13 to find x. You then remove 1 from each side to get 4x=12, and then you divide by 4 to get x=3.
The next thing you do is make the equation -2y+8(3)=y+2(3)
Which simplified is -2y+24=y+6. You then add 2y to each side and remove 6 from each side to get the 18=3y. You then divide by 3 to get y=6.
