Answer:
Daniel would have to earn 35 or more points to put him and his teammate ahead.
Step-by-step explanation:
Daniel: 40 points
Zeke: 75 points
Opposing team: 150
Daniel + Zeke + x = Opposing team
40 + 75 + x = 150
- rearrange -
150 = 40 + 75 + x
150 = 115 + x
150 - 115 = x
35 = x
Answer:
Step-by-step explanation:
f(x) = y = 3x/(8 + x) (I am assuming that the 8 + x is the denominator. Please use parentheses in the future if you forgot this. If there are no parentheses, then my solution will not work for you.)
Exchange x and y; that is, replace x by y and y by x simultaneously:
x = 3y/(8 + y).
Then use algebra to solve for y in terms of x:
(8 + y)x = 3y (multiply both sides by the denominator to clear the fraction)
8x + xy = 3y (distribute)
xy − 3y = −8x (rearrange terms with all y's on the left side of the equation)
y(x − 3) = −8x (factor out y as a common factor)
y = −8x/(x − 3) (divide by x − 3)
Finally, replace y by f-1(x):
f-1(x) = −8x/(x − 3).
This is the inverse of f(x). It can be checked by finding f(f-1(x)) and f-1(f(x)), and verifying that both equal x after simplifying.
Answer: (iii) Profit The marked price of an article is 15% above its selling price and the cost price is 25% less tha its marked price. Find the discount percent and gain percent.
Step-by-step explanation:
Let
z-----------> t<span>he height of the larger box
x-----------> the length side of the box (smaller and larger box)
y-----------> t</span>he width side of the box (smaller and larger box)<span>
volume larger box=x*y*z
</span>volume smaller box=x*y*(0.80z)----> 0.80[x*y*z]
the difference in the volume of these two boxes=[x*y*z]*(1-0.80)
the difference in the volume of these two boxes=0.20*[x*y*z]
<span>The height of the smaller box is 12 in
</span>so
z*0.8=12--------> z=12/0.8---------> z=15 in
x=7 3/4 in--------> (7*4+3)/4---------> 31/4 in
y= 2 in
the difference in the volume of these two boxes=0.20*[(31/4)*2*15]
the difference in the volume of these two boxes=46.5 in³
the answer is
46.5 in³
Answer: The licence plate number would be 2614
Step-by-step explanation:
