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jonny [76]
3 years ago
13

{2x}^{2} + 14x + 24 " alt="f(x) = {2x}^{2} + 14x + 24 " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Naily [24]3 years ago
5 0

Answer:

Step-by-step explanation:

f(x) = 2x²  + 14x + 24

     = 2x² + 8x + 6x  + 6*4

      = 2x*(x + 4) + 6*(x + 4)

     = (x + 4)(2x + 6)

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Rectangle abcd is similar to rectangle pqrs given that ab =14cm bc =8cm and pq=12cm calculate the length of qr
ohaa [14]

Answer: 6.8571 (Round as needed)

Hope this is correct

Step-by-step explanation:

This is a simple ratio problem

Using the similarity statement we can say 14:12, (ab:pq)

That is our ratio.

So we do 14/12 = 8/x, we solve this using algebra to get our answer.

Hope this is correct.

7 0
2 years ago
A mini basketball court has an area of 500
aivan3 [116]

Answer:

Step-by-step explanation:

let x,y be the sides of court.

2(x+y)=90

x+y=90/2=45

y=45-x

xy=500

x(45-x)=500

45x-x²=500

x²-45x+500=0

x²-25x-20x+500=0

x(x-25)-20(x-25)=0

(x-25)(x-20)=0

x=25,20

when x=25

y=45-x=45-25=20

when x=20

y=45-20=25

sides are 25 ft,20 ft.

8 0
2 years ago
Read 2 more answers
Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.
timama [110]

The solution of the equation is  x=\frac{11}{7}

Step-by-step explanation:

To simplify an equation of x

  • Simplify each side of the equation
  • Collect x in side and the numerical terms in the other side
  • Find the value of x

∵ The equation is 2x + \frac{1-x}{4}=3

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is 4(2x) +4 (\frac{1-x}{4})=4(3)

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ x=\frac{11}{7}

The solution of the equation is  x=\frac{11}{7}

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

#LearnwithBrainly

3 0
2 years ago
16 < −x −6 OR 2x + 5 ≥ 11
Jet001 [13]

Answer:

A. -1; -2; -3; -4; -5.

B. x>1

5 0
3 years ago
(-3/4)*(-3/5)*(-1)= <br> pls help my teacher is gonna kill me
GaryK [48]

Answer:

-9/20

Step-by-step explanation:

For the first two terms, all you have to do is multiply the numerators and the denominators, and cancel out the negative, but because there is a -1 after that, the negative sign comes back, although the -1 doesn't really change the number.

3 0
2 years ago
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