All categories

3 years ago

What are the solutions of the following system

Mathematics

2 answers:

noname [10]3 years ago

6 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}10x^2-y=48\\2y=16x^2+48&\text{subtracy}\ 16x^2\ \text{from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}10x^2-y=48\\-16x^2+2y=48&\text{divide both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x^2-y=48\\-8x^2+y=24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x^2=72\qquad\text{divide both sides by 2}\\.\qquad x^2=36\to x=\pm\sqrt{36}\\.\qquad x=\pm6\\\\\text{Put the values of}\ x\ \text{to the second equation}$

$2y=16(\pm6)^2+48\\\\2y=16(36)+48\\2y=576+48\\2y=624\qquad\text{divide both sides by 2}\\y=312$

Ostrovityanka [42]3 years ago

4 0

Answer:

c i think

Step-by-step explanation:

You might be interested in

Describe a situation that could be modeled with the ratio 3: 1.

ehidna [41]

Answer:

three boys to 1 girl

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Is x-3/5 = N and N = 6, what is the value of x?

scZoUnD [109]

Answer:

x = 33/5

Step-by-step explanation:

x - 3/5 = n.......n = 6

so we sub

x - 3/5 = 6......add 3/5 to both sides

x = 6 + 3/5...convert using common denominator of 5

x = 30/5 + 3/5

x = 33/5 <===

check...

x - 3/5 = 6

33/5 - 3/5 = 6

30/5 = 6

6 = 6 (correct)...so it checks out

5 0

3 years ago

Read 2 more answers

A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?

astraxan [27]

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

$60\:\times 2^{-2}$

$=60\times \frac{1}{2^2}$ ∵ $a^{-b}=\frac{1}{a^b}$

$\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}$

$=\frac{1\times \:60}{2^2}$

$=\frac{60}{2^2}$

$=\frac{2^2\times \:3\times \:5}{2^2}$

$=3\times \:5$

$=15$ gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

6 0

3 years ago

Diagram of x+3 and of 2x when x is 2

Naya [18.7K]

Answer:

5 and 4

Step-by-step explanation:

So if, x equals 2 then all you do is turn the x into a 2.

So you rewrite the equation into,

2 + 3 and 2 x 2,

Which would be 5 and 4

Hope this helps!

7 0

3 years ago

These tables of values represent continuous functions. In which table do the values represent an exponential function?

denis-greek [22]

Answer:

Option C

Step-by-step explanation:

In this case, an exponential function is a function that has common ratio whereas it is called a linear function if it has common difference.

Option A:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option A is is not correct.

Option B:

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option B is not correct.

In option C.

Since the given values of y in the table have a common ratio, it is said to be an exponential function.

Option C is correct.

In option D.

Since the values of y in the given table have different ratio but common difference, therefore it is not a a linear and not an exponential function. Option D is incorrect.

7 0

3 years ago