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anzhelika [568]
3 years ago
14

Graphing linear equations questions 1-13

Mathematics
1 answer:
Brums [2.3K]3 years ago
7 0
1. the graph of 2x + 1 = y for all real numbers will be a line. the graph with the restricted domain will be a line segment meaning it has endpoints (1, 3) and (4, 9).

2. is open ended, meaning you can make A, B, C anything you want as long as what they specify is met.
(a) A = 0
(0)x + By = C
let's make B = 1 and C = 5
y = 5

(b) B = 0
Ax + (0)y = C
let's make A = 1 and C = 5
x = 5

(c) C = 0
Ax + By = 0
let's make both A and B = 1
x + y = 0

3. plot both intercepts (x on x-axis, y on y-axis) then draw a line through the dots.

4-7. linear equations do not have exponents on any of the variables. 1/y is the same as y^(-1) so both 4 and 7 are non-linear.

8-13. you will have to graph these. put them in slope intercept form: y = mx+b if they're not already , plot the y-intercept first (0, b) then use the slope m draw the line by going rise over run.

example 13.
3x + 4y = 12
4y = -3x + 12
y = (-3/4) + 3
plot (0,3)
go down -3 , right 4 make a point.
reverse from (0,3) go up 3 left -4 and make a point. connect with line.
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Lin notices that the number of cups of red paint is always 15 of the total number of cups (0.2 of the total number of cups). She
ivann1987 [24]

Step-by-step explanation:

The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.

She writes the equation r = 15t (r = 0.2t) to describe the relationship.

In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.

The number of cups of red paint is a dependent variable as it depends on the number of cups.

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2 years ago
Which of the following best describes the term induction?
sergey [27]
Reducing the solution to a problem in lowest terms
7 0
3 years ago
What is the slope of the line that passes through the points (5,3) and (-4,1)​
wariber [46]

Answer:

\frac{2}{9}

Step-by-step explanation:

Formula to find the slope:\frac{y_{2}-y_1}{x_2-x_1}

Notice it doesn't matter for which point being y2/x2 or y1/x1.

Just to make our life easier, I choose (5,3) as our second point and (-4,1) as our first point.

\frac{3-1}{5-(-4)}

=\frac{2}{9}

5 0
3 years ago
Janae was vacuuming the narrow hallway in her house. She went 5 feet forwards in the first 4 seconds, then went 3 feet backwards
Ganezh [65]

Answer:

60 seconds

Step-by-step explanation:

Hi!

After she goes forward 5 feet (4 seconds), and the backwards 3 feet (another 4 seconds), the total distance forward she travelled is 2 feet. Then, she moved forward 2 feet in 8 seconds.

Then, as this is repeated, she moves forward 2 feet every 8 seconds. After 7 repetitions she travelled 14 feet, and 56 seconds elapsed. Then she goes forward 5 feet in 4 seconds, and she finaly reaches  the end of the hallway

(14 +5 > 15)

So, in 60 seconds she reached the end of the hallway.

4 0
3 years ago
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