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natka813 [3]
4 years ago
7

How to factor 5x^2 +4x -1

Mathematics
1 answer:
Kazeer [188]4 years ago
4 0
5x^2+4x-1\\\\Method\ 1:\\\\5x^2+4x-1=5x^2+5x-x-1=5x(x+1)-1(x+1)\\=(x+1)(5x-1)\\\\5x^2+4x-1=(x+1)(5x-1)\\\\Method\ 2:\\\\5x^2+4x-1\\a=5;\ b=4;\ c=-1\\\\\Delta=b^2-4ac\\\\\Delta=4^2-4\cdot5\cdot(-1)=16+20=36 \ \textgreater \  0\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{36}=6\\\\x_1=\dfrac{-4-6}{2\cdot5}=\dfrac{-10}{10}=-1\\\\x_2=\dfrac{-4+6}{2\cdot5}=\dfrac{2}{10}=0.2\\\\5x^2+4x-1=5(x-0.2)(x+1)=(5x-1)(x+1)
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An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el
CaHeK987 [17]

<u>Let's take this problem step-by-step</u>:

<u>Let's first set up some variables</u>:

  • c: # of children
  • a: # of adults

<u>Let's examine the information given:</u>

  • Elevator can hold a maximum of 1500 pounds

          ⇒ average child is 75 pounds

          ⇒ average adult is 150 pounds

                 ⇒<em> therefore</em>: 75c + 150a\leq 1500

  • Elevator can fit no more than 14 people

          ⇒ <em>therefore</em>: c + a \leq 14

<u>Let's graph the equations</u>:

 75c+150a\leq 1500\\c+a\leq 14

    ⇒ look at the image attached

<u>The point at which the two graphs intersect:</u>

  ⇒ <em>is the solution that represents the amount of children and adults and </em>

<em>       their combine weight</em>

<em />

<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>

<em>  ⇒ the </em><em>solution is 8 children and 6 adults</em>

<em></em>

<u>Answer: 8 children and 6 adults</u>

<u></u>

Hope that helped!

<em />

               

7 0
2 years ago
Is anyone here like rlly good at algebra bc im not and I kinda forgot What my teacher told me so-
raketka [301]

Answer:

The question is asking you to subtract 516 from 1,000 to find <em>b</em>.

1,000 - 516 = 484

Therefore, <em>b</em> = 484

5 0
2 years ago
Read 2 more answers
A farmer owns a total of 10 acres of land. The land is separated into 43 equally sized sections. How many acres are in each sect
Pepsi [2]

Answer:

\frac{10}{43} acres

Step-by-step explanation:

Divide 10 by 43:

10/43

In simplest form as a fraction, this is \frac{10}{43}

So, each section would have \frac{10}{43} acres

4 0
3 years ago
Read 2 more answers
Jesse buys a necklace that is on sale for 25% off the original price is 119.50 if tax is 7% what is the total price that Jesse w
trapecia [35]

Answer:

$95.89875

Step-by-step explanation:

The original price of the necklace is 119.5. And we are subtracting 25% from this. 119.5 - 25% = 119.5 - 1/4 since 25% is 25/100 which is also 1/4.

So without tax, the price of the necklace is 119.5 - 29.875 which is 89.625.

The tax is 7%. So we should add 89.625 to 7%. This is complicated, but it should result in 95.89875.

If we round this to the nearest cent, it should be <em>$95.9</em>.

6 0
3 years ago
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iVinArrow [24]

Answer:

-(400/9)

Step-by-step explanation:

-44(4/9)

answer A

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