1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhenek [66]
3 years ago
15

Will averages 18 points a game and is the all time leader on the team with 483 points. Tom averages 21 points a game is is curre

ntly second place for all time leader with 462 points. If both players continue to play at the same rate how Many more games will it take until Tom and Will haves scored the same number of total points?
Mathematics
1 answer:
Katen [24]3 years ago
7 0
7 games.
18×7=126
483+126=609
21×7=147
462+147=609
After 7 games each will have 609 points.
You might be interested in
Find the point(s) on the surface z^2 = xy 1 which are closest to the point (7, 11, 0)
leonid [27]
Let P=(x,y,z) be an arbitrary point on the surface. The distance between P and the given point (7,11,0) is given by the function

d(x,y,z)=\sqrt{(x-7)^2+(y-11)^2+z^2}

Note that f(x) and f(x)^2 attain their extrema, if they have any, at the same values of x. This allows us to consider the modified distance function,

d^*(x,y,z)=(x-7)^2+(y-11)^2+z^2

So now you're minimizing d^*(x,y,z) subject to the constraint z^2=xy. This is a perfect candidate for applying the method of Lagrange multipliers.

The Lagrangian in this case would be

\mathcal L(x,y,z,\lambda)=d^*(x,y,z)+\lambda(z^2-xy)

which has partial derivatives

\begin{cases}\dfrac{\mathrm d\mathcal L}{\mathrm dx}=2(x-7)-\lambda y\\\\\dfrac{\mathrm d\mathcal L}{\mathrm dy}=2(y-11)-\lambda x\\\\\dfrac{\mathrm d\mathcal L}{\mathrm dz}=2z+2\lambda z\\\\\dfrac{\mathrm d\mathcal L}{\mathrm d\lambda}=z^2-xy\end{cases}

Setting all four equation equal to 0, you find from the third equation that either z=0 or \lambda=-1. In the first case, you arrive at a possible critical point of (0,0,0). In the second, plugging \lambda=-1 into the first two equations gives

\begin{cases}2(x-7)+y=0\\2(y-11)+x=0\end{cases}\implies\begin{cases}2x+y=14\\x+2y=22\end{cases}\implies x=2,y=10

and plugging these into the last equation gives

z^2=20\implies z=\pm\sqrt{20}=\pm2\sqrt5

So you have three potential points to check: (0,0,0), (2,10,2\sqrt5), and (2,10,-2\sqrt5). Evaluating either distance function (I use d^*), you find that

d^*(0,0,0)=170
d^*(2,10,2\sqrt5)=46
d^*(2,10,-2\sqrt5)=46

So the two points on the surface z^2=xy closest to the point (7,11,0) are (2,10,\pm2\sqrt5).
5 0
3 years ago
What is the interval notation for y<5?
Ilia_Sergeevich [38]

Hey there!☺

Answer: (-∞, 5)

Explanation:

You need to convert the inequality as an interval notation.

y as interval notation would be written like this:

(-∞, 5)

Hope this helps!

7 0
3 years ago
Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Nikitich [7]

Answer:

<u>Given rhombus ABCD with</u>

  • m∠EAD = 67°, CE = 5, DE = 12

<u>Properties of a rhombus:</u>

  • All sides are congruent
  • Diagonals are perpendicular
  • Diagonals are angle bisectors
  • Diagonals bisect each other

<u>Solution, considering the above properties</u>

  • 1. m∠AED = 90°, as angle between diagonals
  • 2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD
  • 3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD
  • 4. AE = CE = 5, as E is midpoint of AC
  • 5. BE = DE = 12, as E is midpoint of BD
4 0
3 years ago
Why is it easy to compare a positive number and a negative number?
Elza [17]
It is easier to compare a positive number and a negative number because it’s just like regular adding
8 0
2 years ago
Sketch the smallest positive such angle. As well as find the six trig functions.
Licemer1 [7]
X-246-c4779952vhjjj23467890865
5 0
2 years ago
Other questions:
  • What is the answer to -6 2/3 - -8 1/5
    7·1 answer
  • 15pts please help asap<br> 2.5 as an improper fraction?
    5·1 answer
  • You are paid $8.50/hr at your part-time job. Your deductions are FICA (7.65%), federal tax withholding (9.15%), and state tax wi
    6·1 answer
  • A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes. Supp
    10·1 answer
  • Okay so, “Lynn multiplied a number by 8, and then subtracted 35 from the product. The result was 21. Write an equation to find t
    10·1 answer
  • Help please <br> Brainiest answer to whoever is first
    9·2 answers
  • Find the surface area of the prism or pyramid. Round to the nearest whole number if necessary.
    15·2 answers
  • Question below..................
    13·1 answer
  • If f(x) = 5x - 7, what is {3)?<br> O A. 22<br> O B. 2<br> O c. 1<br> • D. 8
    11·2 answers
  • Is the number there three? if you answer to me i will give you twenty Points.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!