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
nasty-shy [4]
3 years ago
7

Two numbers, x and y, when added together equal 9 and equal -5 when subtracted.

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0

Answer:

x=2 and y=7

Step-by-step explanation:

Let x and be the unknown numbers.

By the condition given in the question the first equation is

x+y=9

And the second equation is

x-y=-5

By solving the first and second equations,we get the answer as

x=2 and y=7

You might be interested in
Judging from past bowling games, the probability that you will get a strike in a game is 40%. if you bowl 35 games, in how many
Natalka [10]
You need in total
14 games
3 0
3 years ago
Read 2 more answers
Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.
irina1246 [14]
Lagrange multipliers:

L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)

L_x=y^2z^2+\lambda=0
L_y=2xyz^2+\lambda=0
L_z=2xy^2z+\lambda=0
L_\lambda=x+y+z-5=0

\lambda=-y^2z^2=-2xyz^2=-2xy^2z

-y^2z^2=-2xyz^2\implies y=2x (if y,z\neq0)

-y^2z^2=-2xy^2z\implies z=2x (if y,z\neq0)

-2xyz^2=-2xy^2z\implies z=y (if x,y,z\neq0)

In the first octant, we assume x,y,z>0, so we can ignore the caveats above. Now,

x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of f(1,2,2)=16.

We also need to check the boundary of the region, i.e. the intersection of x+y+z=5 with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force f(x,y,z)=0, so the point we found is the only extremum.
4 0
3 years ago
Please help me I am on a test
Sergeu [11.5K]

Answer:

C

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
I’ll mark bralyist to the first correct answer <br><br> If f(x) = 1/4 x + 14, then<br> F^-1 (x) =
bagirrra123 [75]

Answer:

1/4

Step-by-step explanation:

dy/dx(1/4x + 14)=1/4

7 0
3 years ago
Can anybody help me on this<br> 16<br> 16π<br> 16π - 16<br> 16 - 16π<br> are the answer choices
kvasek [131]
The answer is 16 pi - 16. The area of each triangle is 8, so both triangles are 16. The area of the circle is pi times the radius squared, 16 pi.
3 0
3 years ago
Read 2 more answers
Other questions:
  • If m&lt;2 =47°, then what is m&lt;6? How do you know?
    12·1 answer
  • Can I get help on this
    12·1 answer
  • Which equation has the same slope as y = 3x - 4?
    15·1 answer
  • Hey guys can you please help me with all of them
    6·2 answers
  • In example 5, a hot dog stand is located halfway between the shoe store and the pizza shop, at point H. Show that PH=HM.
    15·1 answer
  • You need school supplies. You go to the store and see that there are 6 different
    15·1 answer
  • There are 33 people at the pool. then 19 people go home. how many people are at the pool now
    8·1 answer
  • 1/5 ( 15 + 10k ) = please help and make sure your answer is accurate.
    13·1 answer
  • Help with this question please. Doesn't make sense at all.​
    9·1 answer
  • 6. Find the area shaded.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!