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MAXImum [283]
2 years ago
13

Multiply: (5x−1)(5x+4)

Mathematics
2 answers:
Olegator [25]2 years ago
6 0
Answer: C) 25x^2 + 15x - 4

Step-by-Step Explanation:

To open double brackets we have to multiply each term in the first bracket with each term in the second bracket.

Therefore,
=> (5x - 1)(5x + 4)
= 5x * 5x + 5x * 4 - 1 * 5x - 1 * 4
= 25x^2 + 20x - 5x - 4
=> 25x^2 + 15x - 4
inn [45]2 years ago
4 0

Answer: 25x^2+15x-4

Step-by-step explanation:

Multply 5x by the other 5x

25x^2

Multiply 5x by 4

20x

Multiply -1 by 5x

-5x

Multiply -1 by 4

-4

Add them together

25x^2+20x-5x-4

Combine like terms

20x-5x=15x

25x^2+15x-4

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I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

4 0
3 years ago
Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
cricket20 [7]
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


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3 years ago
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At 425 feet tall, the Orlando Starflyer is one of the tallest structures in Florida and the tallest Starflyer in the world, stan
Rzqust [24]

Answer: Rider B is farther from the base of the Starflyer by the Hinge Theorem

Step-by-step explanation:

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3 years ago
2 ways to write y divided by three in algebra expression
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Answer:

y/3. 1/3y

Step-by-step explanation:

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3 years ago
What is 85.23 - 2.675 =?
Anna007 [38]
Your answer is 85.555,hope this helped or 85.5 with - over it
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