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3 years ago

Use substitution to solve each system of equations X=y-2 4x+y=2

Mathematics

1 answer:

Mariulka [41]3 years ago

6 0

Answer:

Step-by-step explanation:

x = y - 2.........(1)

4x + y = 2......(2)

Substituting x in (1) in (2)

4(y - 2) + y = 2

4y - 8 + y = 2

5y = 2 + 8

5y = 10

y = 10/5

y = 2

Putting x in (1)

x = y - 2

x = 2 - 2

x = 0

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Which fraction equals a repeating decimal

bezimeni [28]

Here are some Examples: :)

$\frac{2}{9}$ is 0.2222222222 and so on

$\frac{4}{9}$ is 0.4444444444 and so on

$\frac{7}{9}$ is 0.777777777 and so on

So it could be anything like 9 or 6 as long is its like this $\frac{9}{4}$
$\frac{6}{4}$

4 0

3 years ago

How to determine the maximum and minimum lengths of a missing side on a triangle?

VashaNatasha [74]

Well to find the missing side you're going to need the other two. Take the one side and multiply by itself. Take the other one and multiply by itself. Add those two products. Then root it. Basically find something that multiplys by itself to get that product

6 0

3 years ago

Carmen drew line A and line B in the two scatter plots shown. one scatter plot contains 12 points indicating a negative correlat

blondinia [14]

The true statement is that only line A is a well-placed line of best fit

<h3>How to determine the true statement?</h3>

The scatter plots are not given. However, the question can still be answered

The features of the given lines of best fits are:

12 points in total
Negative correlation
Passes through the 12 points with 6 on either sides

12 points in total
Positive correlation
Passes through the 12 points with 8 and 4 in either sides

For a line of best fit to be well-placed, the line must divide the points on the scatter plot equally.

From the given features, we can see that line A can be considered as a good line of best fit, because it divides the points on the scatter plot equally.

Read more about line of best fit at:

brainly.com/question/14279419

#SPJ1

4 0

2 years ago

At a college, 69% of the courses have final exams and 42% of courses require research papers. Suppose that 29% of courses have a

laila [671]

Answer:

a) 0.82

b) 0.18

Step-by-step explanation:

We are given that

P(F)=0.69

P(R)=0.42

P(F and R)=0.29.

P(course has a final exam or a research paper)=P(F or R)=?

P(F or R)=P(F)+P(R)- P(F and R)

P(F or R)=0.69+0.42-0.29

P(F or R)=1.11-0.29

P(F or R)=0.82.

Thus, the the probability that a course has a final exam or a research paper is 0.82.

P( NEITHER of two requirements)=P(F' and R')=?

According to De Morgan's law

P(A' and B')=[P(A or B)]'

P(A' and B')=1-P(A or B)

P(A' and B')=1-0.82

P(A' and B')=0.18

Thus, the probability that a course has NEITHER of these two requirements is 0.18.

3 0

2 years ago

In a geometric sequence, A1 = 0.3 and r=3.Find A12, to the nearest integer

soldi70 [24.7K]

Step-by-step explanation:

We have,

First terms of geometric sequence, a = 0.3

Common ratio, r = 3

It is required to find the 12th term of a GP. The formula of the nth term is given by :

$T_n=ar^{n-1}$

Here, n =12

So,

$T_{12}=0.3\times 3^{12-1}\\\\T_{12}=0.3\times 3^{11}\\\\T_{12}=53144.1$

$T_{12}=53144$

So, the 12th term of the GP is 53144.

8 0

3 years ago