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3 years ago

Solve using the quadratic formula 5x^2-4x=2

Mathematics

1 answer:

Alexus [3.1K]3 years ago

8 0

Answer: x= ±(√30) / 5

Step by step:

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The velocity of a 150 kg cart changes from 6.0 m/s to 14.0 m/s. What is the magnitude of the impulse that acted on it?

tatuchka [14]

<span>An impulse is the change in momentum. Momentum is mass times velocity. Because the mass does not change, a change in velocity is what creates an impulse. (14.0 m/s - 6.0 m/s) = 8.0 m/s. (150 kg)x(8.0 m/s) = 1200 kgm/s.</span>

7 0

3 years ago

Find a function where f(0)=2 and f(1)=2

xenn [34]

Answer:

Do you want to be extremely boring?

Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?

$f(x) = 2$ is a valid solution.

Want something more fun? Why not a parabola? $f(x)= ax^2+bx+c$ .

At this point you have three parameters to play with, and from the fact that $f(0)=2$ we can already fix one of them, in particular $c=2$ . At this point I would recommend picking an easy value for one of the two, let's say $a= 1$ (or even $a=-1$ , it will just flip everything upside down) and find out b accordingly: $f(1)=2 \rightarrow 1^2+b+2=2 \rightarrow b=-1$

Our function becomes

$f(x) = x^2-x+2$

Notice that it works even by switching sign in the first two terms: $f(x) = -x^2+x+2$

Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: $f(x) = A cos (kx)$

Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need $A= 2$ , and at that point the first condition is guaranteed; using the second to find k we get $2= 2 cos (k1) = cos k = 1 \rightarrow k = 2\pi$

$f(x) = 2cos(2\pi x)$

Or how about a sine wave that oscillates around 2? with a similar reasoning you get

$f(x)= 2+sin(2\pi x)$

Sky is the limit.

8 0

2 years ago

What is the value 2 pi into the palette?

solong [7]

Answer: The answer is 6.28571 . . ..

Step-by-step explanation: We are given ti find the value of twice of pi into the palette.

We are familiar with the irrational number pi. It is defined as the ration of circumference of a circle to the diameter of the circle and its value is 22/7 or 3.14159 . . ..

Therefore, the value of 2 pi can be calculated as follows.

$2\pi=2\times\dfrac{22}{7}=\dfrac{44}{7}=6.28571~.~.~..$

Thus, the value of 2pi is 6.28571 . . ..

8 0

3 years ago

Read 2 more answers

QUESTION 5 · 1 POINT

natali 33 [55]

Answer:

( x - 1) ( 2x + 3)

Step-by-step explanation:

It's actually the other way round.

2x^2- + x - 3

( 2x^2 - 2x) + (3x-3)

2x ( x-1 ) + 3( x-1)

( x - 1)(2x+3)

Its the other way around

HOPE IT HELPED

3 0

3 years ago

...... ..... .... ....

OleMash [197]

14×2×2×2×2= 224
Chase scored 224 points on thursday

5 0

2 years ago