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3 years ago

Solve using elimination

1 answer:

3 0

Well, it was good that you did subtract A from B to get
0=x^2-152x
then factor out the x (what do you mean it cannot be factored?)
0=x(x-152)
x=0 or 0=x-152 so x=152

so on day 0 and day 152

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

The radius of a circle is 1 centimeter. What is the circle's circumference?

igomit [66]

Answer:

6.28 cm

Step-by-step explanation:

The formula for the circumference of a circle with radius r is C = 2*pi*r.

If we let pi = 3.14 and r = 1 cm, then the circumference of this circle is

C = 2(3.14)(1 cm) = 6.28 cm

6 0

3 years ago

Are 0,2,5 closed or not under addition

kvasek [131]

Answer:

There are closed addition.

Step-by-step explanation:

Closure (mathematics) ... For example, the positive integers are closed under addition, but not under subtraction: is not a positive integer even though both 1 and 2 are positive integers. Another example is the set containing only zero, which is closed under addition, subtraction and multiplication.

So, 0,2,5 are closed addition

Please mark me brainliest.

3 0

3 years ago

Help help help help help

lawyer [7]

The answer would be C. you know this because it can’t be A or B because they are positive and D is over -1 which is more than -1/6.

sorry if this is confusing but yeah

4 0

2 years ago

Read 2 more answers

Find three consecutive integers whose sum is 21

stira [4]

Answer:

6 + 7 + 8 = 21

Step-by-step explanation:

6, 7, and 8 are consecutive integers.

6 + 7 is 13. 13 + 8 = 21. So, 6 + 7 + 8 are consecutive integers that equal 21.

5 0

3 years ago

Read 2 more answers