MATHEMATICS HIGH SCHOOL

Which system of equations can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x?

Answers

Answer 1

Answer:

we have

$4x^5-12x^4+6x=5x^3-2x$

Separate the equation above in two equations

equation $1$

$y=4x^5-12x^4+6x$

equation $2$

$y=5x^3-2x$

we know that

In a system of equations the roots of the equation $1$ must satisfy equation $2$ and the roots of the equation $2$ must satisfy equation $1$

therefore

the answer is

The system of equations is

$y=4x^5-12x^4+6x$

$y=5x^3-2x$

Answer 2

Answer: Simplifying 4x4 = 12x2 Solving 4x4 = 12x2 Solving for variable 'x'. Reorder the terms: -12x2 + 4x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12x2 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-3 + x2) = 0

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Identify the solution set of the inequality using the given replacement set x < –2; {–5, –2.6, –2, –0.8, 1, 1.5}. A. {–5, –2.6} B. {–5, –2.6, –2} C. { –2, –0.8, 1, 1.5} D. {–0.8, 1, 1.5}

Answers

If x < - 2 and x ∈ { - 5, - 2.6, - 2, - 0.8, 1, 1.5 }
- 5 < - 2 and - 2.6 < - 2
The solution set is:
A ) { - 5 , - 2.6 }

If x < - 2 and x ∈ { - 5, - 2.6, - 2, - 0.8, 1, 1.5 }

- 5 < - 2 and - 2.6 < - 2

The solution set is:

A ) { - 5 , - 2.6 }

A bottle of water contains 450ml. How many litres of water are there in 8 of these bottles

Answers

Answer:

3.6 litres

Step-by-step explanation:

1 bottle = 450ml

8 bottles = 450 × 8

= 3600ml

1000ml = 1 litre

3600ml = 3.6 litres (3600÷1000)

Answer:

3.6 litres

Step-by-step explanation:

1 bottle = 450ml

8 bottles = 450 × 8

= 3600ml

1000ml = 1 litre

3600ml = 3.6 litres (3600÷1000)

The amount of time needed to complete a certain road trip, t, varies inversely with the speed of avehicle, s. At a speed of 68 miles per hour, the trip will be complete in 15 hours. What would the
speed of the car have to be to complete the trip in 17 hours?

Answers

The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

What is speed?

The rate of change of position of an object in any direction is called speed.

How do you calculate speed when distance and time is given?

$speed = (distance)/(time)$

According to the given question

At a speed of 68 miles per hour, the trip will be complete in 15 hours.

⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles

( because, distance = speed × time)

Therefore, the speed of car to complete the trip in 17 hours

= $(1020)/(17) =60miles/hr$

Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

Find out more information about speed, distance and time here:

brainly.com/question/9834403

#SPJ2

Answer:

x = 60

Step-by-step explanation:

t = $(k)/(x)$

15 = k/68

k=1020

~~~~~~~~~~~

17 = 1020/x

x = 1020/17

x = 60

Anyone know the answer to this

Answers

Answer:

130m

120 squared + 50 squared

square root of 16900

130

(meters)

130 meters :)

Answer:

130m

Step-by-step explanation:

I took the iready and got 100%

What fraction is equivalent to 1/3

Answers

It can be any kind of fraction, the possibilities are endless. So what you do is multiply it by one. I know that sounds kind of wrong, but you'll see. So you know that because of one rule (I forget the name, I'll get back to you on that one) But it says that one can be expressed as a fraction, which allows you to create an equivalent fraction. For example 2/3 x 3/3 = 6/9, simplified = 2/3.

3/9 is equivalent to 1/3 if we multiply both of them by 3

Please help don’t understand