All categories

3 years ago

Graph the linear equation. Find the three points that solve the equation then plot on the graph. -y=-x+1

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The first step will be to make y the subject of the formula, by multiplying both sides of the equation by -1.

y = x - 1

This is simply the equation of a line with a slope of 1 and y-intercept (0,-1)

To determine the three points that solve the equation, we can let x be;

0, 1, 2

When x =0, y = 0-1 = -1

When x = 1, y = 1-1 = 0

When x = 2, y = 2 - 1 = 1

Therefore, we have the following three sets of points that can be used to graph the given linear equation;

(0, -1)

(1, 0)

(2, 1)

Find the attached for the graph

You might be interested in

A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp

Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

$\mathtt{H_o : \mu = 70} \\ \\ \mathtt{H_1 : \mu > 70 }$

The z score for this statistics can be calculated by using the formula:

$z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}$

$z = \dfrac{3}{\dfrac{7}{5}}$

$z = \dfrac{3 \times 5}{{7}{}}$

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value = 1 - 0.9839

P - value = 0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0

3 years ago

(CO 3) A survey indicates that shoppers spend an average of 22 minutes with a standard deviation of 8 minutes in your store and

padilas [110]

Answer: 0.60

Step-by-step explanation:

Given: Mean : $\mu = 22\text{ minutes}$

Standard deviation : $\sigma = 8\text{ minutes}$

The formula to calculate z is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 20 minutes

$z=\dfrac{22-20}{8}=0.25$

The P Value = $P(z$

Hence, the probability that a randomly selected shopper will spend less than 20 minutes in the store= 0.60

5 0

4 years ago

Any number that replaces a variable and makes the equation true is a set or a solution of the equation ?

omeli [17]

It's a solution of the equation.

6 0

3 years ago

A circle has an area of 324 pi feet squared. what is the circumference?

Free_Kalibri [48]

The area of a circle is pi*r^2 so 324/pi is 103 if you take the square root of that it is 10.15. so you would use the circumference formula now, which is 2 pi r so 2*pi*10.15= 63.77

8 0

3 years ago

Read 2 more answers

B(7, 2) and C(-1,-9) are the endpoints of a line segment. What is the midpoint M of that line

Oksana_A [137]

Answer:

(3,-3.5)

Step-by-step explanation:

$Mid-point formula : \frac{ x_{1} +x_{2}} {2}, \frac{y_{1}+y_{2} }{2} \\\\x=\frac{7+(-1)}{2} , y= \frac{2+(-9)}{2} \\x= \frac{6}{2} , y= \frac{-7}{2} \\x=3 , y= -3.5$

Midpoint M of the line segment is (3,-3.5)

4 0

4 years ago