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2 years ago

10

One equation in a system of equations is y=4x-5 write a second equation to complete the system if the solution to the system is

(3,7)

1 answer:

solong [7]2 years ago

8 0

Lo siento, no se la respuesta, desearia poder ayudarte a tener un buen dia

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Factorise: x^2/y^2+1+y^2/X^2

rewona [7]

Answer:

<h2> $( \frac{x}{y} + \frac{y}{x} + 1)( \frac{x}{y} + \frac{y}{x} - 1)$ </h2>

Step-by-step explanation:

Hope it is helpful.....

7 0

2 years ago

Rebecca is a Texas resident and she plans to attend Texas Tech for all 4 years of college. She has a yearly scholarship of $10,0

andrezito [222]

Answer:

To complete the required $m dollars for her college, she needs $(m - 60,000).

Step-by-step explanation:

Suppose Rebecca needs $m to complete her college education,

because she has a yearly scholarship of $10,000, she would have $10,000 × 4 = $40,000 for the four years she would spend in college.

Together with her savings of $20,000, she has $20,000 + $40,000 = $60,000 in total.

Therefore to complete the required $m dollars for her college, she needs $(m - 60,000).

5 0

2 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

Ken makes a salad for 20 people. The salad dressing contains olive oil and 1/8 cup lemon juice per person. If there are 3 and 3/

sineoko [7]

I have no clue what the answer is to this

3 0

2 years ago

Find the square root of 13²

nadezda [96]

The answer to that would be “169”

3 0

3 years ago