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3 years ago

use the subsitution method to slove the system of equations.Choose the correct ordered pair. x+3y=9 y=x-5

Mathematics

2 answers:

tankabanditka [31]3 years ago

7 0

Answer : x= 6 , y=1
Explanation:

Ad libitum [116K]3 years ago

3 0

Answer:

(6, 1)

Step-by-step explanation:

We are given the equation for (y), [y=x-5]

So we can implement that in all the places the (y) are in the other equation.

x+3(x-5)=9

x+3x-15=9

add 15 to each side

4x=24

Divide each side by 4

x=6

Now we can apply our (x) into one of the equations.

y=(6)-5

y=1

So our solution is (6, 1)

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

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Liz is hiking a trail that is 0.8 miles long. Liz hikes the first 2 tenths of the distance by herself. She hikes the of the way

antoniya [11.8K]

0.6 miles.

Since there is 0.8 miles to hike in total, she hiked 0.2 miles.

To solve, we just easily subtract the amount that Liz hiked from the amount that needs to be hiked.

She hiked 0.2 miles, which means we need to subtract 0.2 from 0.8.

8 - 2 = 6

The answer is 0.6 miles.

3 0

4 years ago

Read 2 more answers

According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C

Pavel [41]

Answer:

a) For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

b) $P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969$

c) $P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

d) $P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n p)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

Part a

For this case we can use the binomial model since we assume independent events and the same probability for each trial is the same p =0.15

Part b

For this case we want this probability:

$P(X=0)$

And replacing we got:

$P(X=0)=(10C0)(0.15)^0 (1-0.15)^{10-0}=0.1969$

Part c

For this case we want this probability:

$P(X=3)$

And replacing we got:

$P(X=3)=(10C3)(0.15)^3 (1-0.15)^{10-3}=0.1298$

Part d

For this cae we want thi probability:

$P(X \geq 1)$

And we can use the complment rule and we got:

$P(X \geq 1)= 1-P(X$

And using the result from part a we got:

$P(X \geq 1)= 1-P(X$

4 0

3 years ago

5 +-8f+ -2f + -1 + -8

aalyn [17]

Answer:

= −10f − 4

Step-by-step explanation:

3 0

3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 2 sin(xy), (0, 5)

andrew-mc [135]

Answer:

Step-by-step explanation:

Given the function f(x, y) = 2 sin(xy) at (0,5), the maximum rate of change of the function at that point will occur in the direction $\nabla f(0,5)$

$\nabla f(x, y) = \frac{\delta(2sin(xy)) }{\delta x} i + \frac{\delta(2sin(xy)) }{\delta y} j\\\\\nabla f(x, y) = 2ycos(xy)i + 2xcos(xy)j\\\\\nabla f(0, 5) = 2(5)cos(0*5)i + 2(0)cos(0*5)j\\\\\nabla f(0, 5) = 10cos0i+ 0j\\\\\nabla f(0, 5) = 10i+0j\\\\||\nabla f(0, 5)|| = \sqrt{10^2+0^2} \\\\||\nabla f(0, 5)|| = \sqrt{100} = 10$

Hence, the magnitude of the maximum rate of the function at the point (0, 5) is 10

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saul85 [17]

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$A = \pi r^2$
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4 years ago