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3 years ago

14

Solve the system of equation below 4x-2y=16. -2y +4x=8

1 answer:

Sholpan [36]3 years ago

7 0

Answer:

The answer is (6, 8)

Step-by-step explanation:

You might be interested in

A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t

aniked [119]

Answer:

$18.97 \text{ and }12.65\text{ft}$

Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of $240$ square feet. The fence along three sides is to be made of material that costs $6$ dollars per foot, and the material for the fourth side costs $12$ dollars per foot.

TO FIND: Find the dimensions of the enclosure that is most economical to construct.

SOLUTION:

Area of rectangular fence $=240\text{ sq. ft}$

let the length of fence $=x$

let the width of fence $=y$

let $x$ be the smaller side

Area of rectangular fence enclosure $=xy$

$xy=240$

$y=\frac{240}{x}$

cost of fence along three sides $=6 \text{ dollars per feet}$

cost of fence along fourth side $=12 \text{ dollars per feet}$

length of fence $=2x+2y$

cost of fence building $=6(2x+y)+12y$

$=12x+18y$

putting value of $y$

$=12x+18\times\frac{240}{x}$

$=12x+4320x^{-1}$

to find minimum value differentiating the equation

$12-\frac{4320}{x^{2} }=0$

$x^{2} =\frac{4320}{12}$

$x^{2} =360$

$x=18.97\text{ft}$

$y=12.65\text{ft}$

Hence the dimensions of the enclosure that is most economical to construct are $18.97\text{ft}$ and $12.65\text{ft}$

8 0

3 years ago

Write an exponential function in the form y=ab^x that goes through points (0,12) and (3,6144)

skad [1K]

Given:

An exponential function goes through points (0,12) and (3,6144).

To find:

The exponential function.

Solution:

The general exponential function is:

$y=ab^x$ ...(i)

The function goes through point (0,12). Substituting $x=0,y=12$ , we get

$12=ab^0$

$12=a$

The function goes through point (3,6144). Substituting $a=12, x=3,y=6144$ in the general exponential function, we get

$6144=12b^3$

$\dfrac{6144}{12}=b^3$

$512=b^3$

$512^{\frac{1}{3}}=b$

$8=b$

Putting $a=12,b=8$ in (i), we get

$y=12(8)^x$

Therefore, the required exponential function is $y=12(8)^x$ .

3 0

3 years ago

If the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.16

Vlad1618 [11]

The probability of drawing an ace and rolling a "2" is = 0.077 × 0.167

you just multiply and get the answer.

3 0

3 years ago

Phrases like _______ or ________ indicate that you need to reverse the order.

steposvetlana [31]

Answer:

a

Step-by-step explanation:

6 0

3 years ago

Please help!! Is it true or false.

Schach [20]

Answer:

False

Step-by-step explanation:

3 and 3 add up

6,2,12 and 4 add up

But 9 and 7 don’t it should be like 9 and 18

4 0

3 years ago