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
mrs_skeptik [129]
3 years ago
8

!!MATH GENIUSES HELP ME!!

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Let x be Bill’s scores.

Let y be Theo’s scores.

x + y = 90

x² = y

Solve for x in the second equation.

x = √y

Put x as √y in the first equation and solve for y.

√y + y = 90

√y = 90 - y

y = (90 - y)²

y = - y² - 180y - 8100

0 = -y² - 181y - 8100

0 = (-y+81)(y-100)

-y+81=0

y = 81

y - 100 = 0

y = 100

100 does not work if we plug in to check, so y is 81.

y = 81

Put y as 81 in the first equation and solve for x.

x + 81 = 90

x = 9

Bill scored 9 goals and Theo scored 81.

You might be interested in
Helene invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% an
kykrilka [37]
<span>100% of $X plus 100% of $Y equals $1000 4% of $X plus 6% of $Y equals $58 To solve that clear the second equation of decimals by multiplying through by 100: Solve that by either substitution or by elimination: X = $100 at 4% and $900 at 6%</span>
3 0
3 years ago
Choose the correct center and radius for the circle with the equation x2 + (y − 8)2 = 49. A. center (0, 8); radius 49 B. center
Law Incorporation [45]

Answer:

D

Step-by-step explanation:

the center is (0,8)

(to solve this just flip the signs on the constants being added to x and y (there is an invisible constant of 0 being added to the x))

the radius is 7 (or √49)

3 0
3 years ago
Whats the square root of 7? Nearest to 0.05.​
Bess [88]

Answer:

2.64575131 is the exact

Step-by-step explanation:

8 0
3 years ago
For the given functions, (a) express dw/dt as a function of t, both by using the chain rule and by expressing w in terms of t an
ch4aika [34]

By the chain rule,

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}

We have

w=7ye^x-\ln z\implies\begin{cases}\dfrac{\partial w}{\partial x}=7ye^x\\\\\dfrac{\partial w}{\partial y}=7e^x\\\\\dfrac{\partial w}{\partial z}=-\dfrac1z\end{cases}

and

\begin{cases}x=\ln(t^2+1)\\y=\tan^{-1}t\\z=e^t\end{cases}\implies\begin{cases}\dfrac{\mathrm dx}{\mathrm dt}=\dfrac{2t}{t^2+1}\\\\\dfrac{\mathrm dy}{\mathrm dt}=\dfrac1{t^2+1}\\\\\dfrac{\mathrm dz}{\mathrm dt}=e^t\end{cases}

Putting everything together, we get

\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{14ye^xt}{t^2+1}+\dfrac{7e^x}{t^2+1}-\dfrac{e^t}z

x=\ln(t^2+1), so e^x=e^{\ln(t^2+1)}=t^2+1, and z=e^t, so \frac{e^t}z=1.

\dfrac{\mathrm dw}{\mathrm dt}=14yt+7-1

\dfrac{\mathrm dw}{\mathrm dt}=14t\tan^{-1}t+6

Then when t=1, the derivative has a value of \frac{7\pi}2+6.

6 0
3 years ago
Jim bought 2 packs of batteries from a store. The price of each pack was the same. After he bought the batteries, his account ba
a_sh-v [17]

Answer:

Divide $23.94 by 2. 23.97/2=11.97. The change would have been -$11.97 :) hope this helps

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
    10·1 answer
  • Thats the quetion 45 points and brainliest!!!<br> Pleaseeeeeee help
    7·1 answer
  • What is the simplest form of the monomial given in factored form
    15·1 answer
  • What is the equation in point-slope from of the line passing through (1,9) and (-1, 11)
    11·1 answer
  • Round 36, 993 to nearest thousands
    7·2 answers
  • Explain how you can use squaring to estimate square root of 7
    11·1 answer
  • PLEASE HELP!!!Which statement is true? Select all that apply.
    5·1 answer
  • DEFG is a cyclic quadrilateral. If ∠E = 27°, find ∠G.
    9·1 answer
  • Find the distance between (-1,-5) and (4,3)
    13·1 answer
  • Question 3(Multiple Choice Worth 2 points)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!