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
romanna [79]
3 years ago
9

3. x + 4y = 30 x - 2y = 0

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that:

x + 4y = 30

x - 2y = 0

Subtracting both equations:

6y = 30

y = 30/6

y = 5

Putting in above equation

x + 4(5) = 30

x + 20 = 30

x = 10

i hope it will help you

You might be interested in
Coordinate and it's reflection over the x- axis be an even number
PilotLPTM [1.2K]
Depends on the original point
4 0
3 years ago
A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
Cobalt-60 has a half-life of about 5 years. How many grams of a 300 g sample will remain after 20 years? A: 0.0625 g
Marina86 [1]
The answer is letter c
4 0
3 years ago
Read 2 more answers
9t - 6 - 6t = 6<br><br> show work
ICE Princess25 [194]
9t-6-6t=6 -- add 6 to both sides
9t-6t=12 -- combine like terms
3t=12 -- divide by 3

t=4
7 0
3 years ago
Read 2 more answers
HELP ASAP NO LINKS The sales of the products sold were speakers?
Svetlanka [38]

Answer:

I don’t understand

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • PLLLLLLLLLZZZZ HHHHHHHEEEEEEEEELLLLLLPP
    11·1 answer
  • one moving company charges $800 plus $16 per hour another moving company charges $720 plus $21 an hour at what number of hours w
    11·1 answer
  • Simplify 8 - (-5) - 4(-7).<br><br> -63<br> -15<br> 41<br> 68
    13·1 answer
  • Given that f(x) = 3x + 4 and g(x) = x2 - 2x-6, find (g o f)(5).
    9·1 answer
  • the computer lab at a high school ordered 26 packages of cd's . there were 50 cd's in each package. how many cd's did the comput
    13·1 answer
  • Help thanks 7.04 love u guys​
    10·2 answers
  • Use distributive property to solve, show all steps <br> 3(2x-6)
    5·2 answers
  • ¿Buenos días cómo estás?
    14·2 answers
  • How do I convert 4/9 into a decimal?​
    5·2 answers
  • ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!