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2 years ago

If x to the first power is a line, and you multiply two lines together, what do you get? Think of the the exponent.

Mathematics

2 answers:

GREYUIT [131]2 years ago

8 0

Answer: A quadratic equation (also called a parabola)

Step-by-step explanation:

A line can be written as:

f(x) = a*x + c

This is a polynomial with degree 1.

Now, of we have two lines:

f(x) = a*x + c

and:

g(x) = d*x + e

And we multiply them, we will get:

f(x)*g(x) = (a*x + c)*(d*x + e) = a*d*x^2 + a*e*x + c*d*x + c*e

We can rewrite this as:

= (a*d)*x^2 + (a*e + c*d)*x + (c*e)

This is a polynomial of degree = 2, this is a quadratic equation, then if you multiply two lines together, you get a quadratic equation (or a parabola)

Yakvenalex [24]2 years ago

6 0

Answer:

ax^2+ bx + c

Step-by-step explanation:

I get a parabola, that is, an equation of the second degree

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Elanso [62]

Answer:

Step-by-step explanation:

I think its 6 times greater because the length was tripled and the width was doubled thus : 3 * 2 = 6

HOPE THIS HELPED

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2 years ago

Guided Practice

KATRIN_1 [288]

Answer:

i would think its C

Step-by-step explanation:

the other options dont make sense lol

hope this is correct and helps :)

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2 years ago

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Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

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2 years ago

PLEASE HELP THIS IS A LINEAR EQUATIONS AND INEQUALITIES!!!

Scrat [10]

I’m pretty sure this is the answer.
You don’t have all of the answer choices listed, sorry

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2 years ago

How many copies of earth could fit inside the Sun?

Mkey [24]

Answer:

1.3 million

Step-by-step explanation:

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