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2 years ago

50. y=-3x+

Mathematics

1 answer:

Verdich [7]2 years ago

5 0

the answer is 58.8 so i think these the answer

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How do u factor this

PilotLPTM [1.2K]

You can factor a parabola by finding its roots: if

$p(x)=x^2+bx+c$

has roots $x_1,\ x_2$ , then you have the following factorization:

$p(x) = (x-x_1)(x-x_2)$

In order to find the roots, you can use the usual formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the first example, this formula leads to

$x_{1,2} = \dfrac{-2\pm\sqrt{4+4}}{2} = \dfrac{-2\pm\sqrt{8}}{2} = \dfrac{-2\pm2\sqrt{2}}{2} = 1 \pm \sqrt{2}$

So, you can factor

$x^2-2x-1 = (x-1-\sqrt{2})(x-1+\sqrt{2})$

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

$f(1.5)=-5.25$

you get

$f(-1.5) = 1.5c-3 = -5.25$

Add 3 to both sides:

$1.5c = -2.25$

Divide both sides by 1.5:

$c = 1.5$

7 0

3 years ago

For a horizontal launch (θ0 = 0) at a fixed height ℎi > 0, are the statements below correct? (Assuming friction can be ignore

Marizza181 [45]

Answer:

1) False. 2) True. 3) True. 4) False.

Step-by-step explanation:

1) False. The force of gravity will drive it down. The path will form a parabola.

2) True. There is no variation in the velocity in the horizontal axis and no force applied so the acceleration is zero.

3) True. The travel time depends on the height and the acceleration of gravity, and independent of the velocity of the rocket at launch.

4) False. The travel distance depends on the initial velocity of the rocket (at launch).

5 0

3 years ago

PLEASE HELP!

Andru [333]

I = PRT

14,300 = (700)(0.0725)(t)
14,300 = 50.75(t)
14300/50.75 = t
281.77 = t or t = 281.77

hope this helps :)

4 0

3 years ago

Isaac, a manager at a supermarket, is inspecting cans of pasta to make sure that the cans are neither dented nor have other defe

Fynjy0 [20]

Answer:

0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.

Step-by-step explanation:

W are given the following in the question:

Probability of defective can =

$P(A) = \dfrac{1}{90}$

We have to find the probability that Isaac will find his first defective can among the first 50 cans.

Then the number of adults follows a geometric distribution, where the probability of success on each trial is p, then the probability that the kth trial (out of k trials) is the first success is

$P(X=k) = (1-p)^{k-1}p$

We have to evaluate:

$P(x = 50)\\= (1-\frac{1}{90})^{50-1}(\frac{1}{90})\\= 0.0064$

0.0064 is the probability that Isaac will find his first defective can among the first 50 cans.

7 0

2 years ago

The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 1

ad-work [718]

31.7 is the answer. Do you need any explanation?

5 0

3 years ago