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mr_godi [17]
3 years ago
11

Which is the solution for the system of equations?

Mathematics
2 answers:
Nat2105 [25]3 years ago
4 0
The first option is correct
sleet_krkn [62]3 years ago
4 0

Answer:

I think the answer is: (1,-1)

Step-by-step explanation:

If you plug in y=-x into the equation y=2x-3 (-x=2x-3) and graph it you will find the intercept of the two lines is (1, -1)

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Maybe you could be more specific!
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3 years ago
Give an example of each of the following or explain why no such example exists. (a) Two polynomials of degree 1 in Z4x whose pro
andre [41]

Answer:

Step-by-step explanation:

(a)

let, f(x) = 2x+1 & g(x) = 2x+2

So, f(x).g(x) = (2x+1).(2x+2) = 4x² + 6x + 2 = 2x+2 in Z_4[x]

So, product of two 1 degree polynomials is a 1-degree polynomial in Z_4[x]

(b)

let, f(x) = 2x³ - 3x² + 5x + 7 & g(x) = -2x³ + 3x² + x + 3 be two polynomials in R[x]

So, f(x) + g(x) = 6x + 10, which is a polynomial of degree 1 in R[x]

(c)

this is not possible, since, if f & g are 2 polynomials in any polynomial ring S, then, we always have,

deg(f.g) <= deg(f) + deg(g)

So, deg(f.g) = 5 (as desired) but, deg(f) + deg(g) = 2+2 = 4 but, 4 < 5

So, this is not possible.

So, no such example exists.

3 0
3 years ago
he lifespan of the Ebola virus on flat dry surfaces has a normal distribution with μ = 643.6 minutes and σ = 77.7 minutes. You m
Vedmedyk [2.9K]

Answer:

By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem

The mean of the population is 643.6 minutes.

By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.

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5 0
3 years ago
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svet-max [94.6K]
I think it’s 220 inches
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