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S_A_V [24]
3 years ago
7

K(x)= -3/4 , what is x ?

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0
The correct Answer is
X=-3/4k
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Two cars left the city for a suburb, 480 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the
zlopas [31]

Answer:

  • <u>80km/h and 60km/h</u>

Explanation:

<u>1. Data:</u>

i) Distance traveled by the cars:

  • d = 780 km

ii) Speed of the cars:

  • v₁ and v₂
  • v₁ = v₂ + 20 km/h

iii) Time to arrive at the suburb:

  • t₂ - t₁ = 2 hour ⇒ t₂ = t₁ + 2

<u>2. Equations:</u>

  • speed = distance / time

        time  = distance / speed

  • t₂ = 480 / v₂
  • t₁ = 480 / v₁ = 480 / (v₂ + 20)

               t₂        -       t₁                =  2 hour

               ↓                 ↓                    ↓

           480/v₂    -  480/ (v₂ + 20) =  2

             

<u>3. Solve the equation</u>

     480(v₂ + 20) - 480(v₂) =  2 × (v₂ + 20) (v₂)

     240(v₂ + 20) - 240(v₂) =  (v₂ + 20) (v₂)

     240v₂ + 4800 - 240v₂ =  (v₂)²  + 20v₂

      (v₂)²  + 20v₂ - 4800 = 0

      (v₂ + 80) (v₂ - 60) = 0

      v₂ = - 80

      v₂ = 60

Only the positive solution has physical meaning:

  • v₂ = 60km/h                                      ← answer
  • v₁ = 60km/h + 20km/h = 80km/h     ← answer
5 0
3 years ago
What is the midpoint between 18.7 and 18.6
Alona [7]
A midpoint between the two could probably be 18.65
6 0
3 years ago
52 is 130% of what number
Westkost [7]
52 divided by 130 would be 0.4 so if you need it in percent then it would be 4%.

6 0
3 years ago
Read 2 more answers
What is the correct way to label the entire line segment shown​
Simora [160]

Answer:Yea looks like you have it already C

Step-by-step explanation:

7 0
3 years ago
The population of a small town is 40,740. It's population falls by 8% per year. How many years later will the population be 14,5
Mashutka [201]

Answer:

0.9101523758 ≈ 1 year

Step-by-step explanation:

The population of a small town is 40,740.

Its population falls by 8% per year.

Given: Compound interest Amount (A) = P( 1 + \frac{r}{n})^{nt}

14,550 = 40,740(1 + \frac{-8}{100 * 1})^{t*1}

14,550 = (40,740 - 3259.2)^{t}

14,550 = (37,480.8)^{t}

t * log 37,480.8 = log 14,550

t = \frac{ log 14,550}{log 37,480.8} = 0.9101523758 ≈ 1 year

6 0
4 years ago
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