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3 years ago

Solve the equation by completing the square 5x(x+6)=-50

1 answer:

3 0

First lets distribute the 5x
5x^2 + 30x = -50

Lets divide every term by 5
x^2 + 6x = -10

To complete the square we have to half the b value, which in this case is 6. Then square it.
Half of 6 is 3, 3 squared is 9

Add that to both sides of the equation
x^2 + 6x + 9 = -1

Find the binomial squared
(x+3)^2 (If you're wondering how i got that please comment)

(x+3)^2 = -1

Take the square root of the equation of both sides
(x+3) = +/- i
x = -3 +/- i
x = -3 - i
and
x = -3 + i

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3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to

andriy [413]

Answer:

z(max) = 256000 Php

x₁ = 10

x₂ = 110

Step-by-step explanation:

Jogging pants design Selling Price Cost

weekly production

Design A x₁ 2500 1750

Design B x₂ 2100 1200

1. z ( function is : )

z = 2500*x₁ + 2100*x₂ to maximize

First constraint weekly production

x₁ + x₂ ≤ 120

Second constraint Budget

1750*x₁ + 1200*x₂ ≤ 150000

Then the model is

z = 2500*x₁ + 2100*x₂ to maximize

Subject to

x₁ + x₂ ≤ 120

1750*x₁ + 1200*x₂ ≤ 150000

General constraints x₁ ≥ 0 x₂ ≥ 0 both integers

First table

z x₁ x₂ s₁ s₂ cte

1 -2500 -2100 0 0 0

0 1 1 1 0 = 120

0 1750 1200 0 1 = 150000

Using AtoZmath online solver and after 6 iterations the solution is:

z(max) = 256000 Php

x₁ = 10

x₂ = 110

3 0

3 years ago

Thu wants to play “Guess My Number,"she states. “When I triple my number and add five ,I get twenty-six.what is my number?" What

AleksandrR [38]

The <em>correct answer</em> is:

Her number is 7.

Explanation:

Let x represent her number.

She triples her number; this is represented by 3x.

She then adds 5 to this; this gives us 3x+5.

She gets 26 aas her answer. This gives us the equation:

3x+5 = 26

To solve this, first subtract 5 from each side:

3x+5-5 = 26-5

3x = 21

Divide each side by 3:

3x/3 = 21/3

x = 7

5 0

3 years ago

Read 2 more answers

Find the area of a square with 6 1/2

koban [17]

Answer:

I'm guessing the 6 1/2 means the length of one side so you would just multiply 6 1/2*6 1/2 and that equals 42.25 (or 169/4)

Step-by-step explanation:

6 0

3 years ago

If sin42 degrees = 2/3 then cos48 degrees = what? <br> If tan20.5= 3/8, the tan69.5= what?

Anna11 [10]

Big ifs, question writers. These are of course approximations.

The "co" in cosine comes from complementary angles. It means since

$42^\circ + 48 ^\circ = 90^\circ$

$\sin 42^\circ = \cos 48^\circ$

Answer: cos 48° = 2/3

Similarly,

$20.5^\circ +69.5^\circ = 90^\circ$

$\tan 69.5^\circ = \cot 20.5^\circ = \dfrac{1}{\tan 20.5^\circ} = \dfrac 8 3$

Answer: tan 69.5° = 8/3

5 0

3 years ago

Fmfrjrjdjejeidisiiiidiidsisiiisi

SVEN [57.7K]

Answer:

The answer is,

$r = \frac{3t}{t - 1}$

Step-by-step explanation:

$t = \frac{r}{ r - 3}$

Firstly, you have to get rid of fraction by multiplying (r-3) to both side and expand out:

t × (r-3) = r/(r-3) × (r-3)

rt - 3t = r

Then you have to move all the "r" variables to one side and other variables to the other side:

rt - r = 3t

You can make "r" as a subject by taking out the common term, you can see that the common term on the left is "r" so you can bring out:

r(t-1) = 3t

r = 3t/(t-1)

4 0

3 years ago