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3 years ago

Write about a

Mathematics

1 answer:

Semenov [28]3 years ago

6 0

Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

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Jeff and Kirk can build a 75-ft retaining wall together in 4 hours. Because Jeff has more experience, he could build the wall

oee [108]

It will take Kirk about 8 hours 32 minutes to build the wall by himself.

<h3>What is Quadratic Polynomial?</h3>

Quadratic equations are second-degree algebraic expressions and are of the form ax² + bx + c = 0.

Here, Let k represent Kirk's time (in hours) to build the wall by himself. Then (k-1) is the time it takes for Jeff to build it. Their working-together rate in "walls per hour" is ...

1/k +1/(k -1) = 1/4

Multiplying by 4k(k-1), we have ...

4(k-1) +4k = k(k -1)

k² -9k = -4 . . . . . . . . subtract 8k and simplify

k² -9k +20.25 = 16.25 . . . . . add (9/2)² to complete the square

k -4.5 = √16.25 . . . . . . . . . take the square root

k = 4.5 +√16.25 ≈ 8.531129 . . . hours

The fractional hour is ...

0.531129 × 60 min ≈ 31.9 min ≈ 32 min

Thus, It will take Kirk about 8 hours 32 minutes to build the wall by himself.

Learn more about Quadratic Polynomial from:

brainly.com/question/2350120

#SPJ1

8 0

2 years ago

Read 2 more answers

What is the equation of the axis of symmetry for the function shown below? y-2=-(x+5)^2?

BigorU [14]

The axis of symmetry is x = -5

8 0

3 years ago

How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the

miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

$\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}$

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$\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}$

___

$\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}$

Neither solution makes any denominator be zero, so both are good solutions.

8 0

3 years ago

K and m are prime numbers .

PolarNik [594]

Answer:

I think k = 2 and m = 19

and I also think in order to mention the steps there must be another clue or equation

4 0

3 years ago

Can anyone help not understanding? And can you explain how you got it. Thanks for all your help!

Allushta [10]

No, the height wouldn't be 70 feet, it would be 80 feet.

You would get this answer by using the equation h= A/b (h meaning height)
A = area ( or 20,000)
b= base ( or 250)

Then you divide A by b:
20,000/ 250 =
80

I hoped this helped! :)

8 0

3 years ago