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sashaice [31]
3 years ago
5

Solve for x: 3 over 4 x + 5 over 8 = 4x

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Step-by-step explanation:

3/4x + 5/8 = 4x/1

5/8 = 4x/1 - 3/4x

5/8 = 16x^2 - 3/4x

5/8 = 4x - 3/1

5/8 = 4x - 3

Cross multiply

8(4x - 3) = 5

32x - 24 = 5

32x = 5 + 24

32x = 29

X = 29/32

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Multiply 4 and 16 to get 60 then subtract that by 36
8 0
3 years ago
A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
HELP ASAP!!! WILL MARK BRAINLIEST!
Levart [38]

Answer:

outlier

Step-by-step explanation:

6 0
3 years ago
Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.
Ludmilka [50]

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

7 0
3 years ago
it takes 47 minutes for 7 people to paint 7 walls. how many minutes does it take 20 people to paint 20 walls?
4vir4ik [10]

Answer:

7 people, 7 walls, 48 minutes

 

Each person paints 1 wall in 48 minutes

 

20 persons, 20 walls


Each person can paint 1 wall in 48 minutes so it will  take 48 minutes.



6 0
3 years ago
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