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2 years ago

Is -√15 irrational or rational

1 answer:

6 0

Answer: it is irrational.

Explanation:

Square root that are not perfect square are considered irrational as sqrt(15) isn’t a perfect square thus it’s irrational.

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Can someone help me with factoring by grouping

Wittaler [7]

Factor : x^2+3x-10

Answer = (x - 2)(x + 5)

Explanation:

Y = x^2 + 3x - 10.

Find 2 numbers knowing sum (3) and product (-10).

Factor pairs of (-10) -> (-1, 10)(-2, 5). This sum is 3 = b. The 2 numbers are: -2 and 5.

y = (x - 2)(x + 5).

6 0

3 years ago

Read 2 more answers

Consider the graph of the line y = x – 4 and the point (−4, 2).

Hitman42 [59]

Answer:

a. The slope of a line parallel to the given line is 1

b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)

c. The slope of the line perpendicular to the given line is -1

d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

a. For the line $y = x - 4$

You can identify that:

$m=1$

By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:

$m=1$

b. The equation of the line in Point-slope form is:

$y -y_1 = m(x - x_1)$

Where m is the slope and ( $x_1,y_1$ ) is a point of the line.

Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = (x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=1$ :

$y -2 = (1 +4)$

$y= 5+2$

$y= 7$

Then, you get the point (1,7)

c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:

$m=-\frac{1}{1}\\\\m=-1$

d. Given the point (-4,2), substitute this point and the slope of the line into the equation:

$y -2 = -1(x +4)$

$y -2 = -(x +4)$

Give a value to "x", substitute it into this equation and solve for "y":

For $x=3$ :

$y -2 = -(3 +4)$

$y= -7+2$

$y= -5$

Then, you get the point (3,-5)

8 0

3 years ago

1.15 GPA and study hours: A survey was conducted on 193 Duke University undergraduates who took an introductory statistics cours

KonstantinChe [14]

Answer:

Step-by-step explanation:

According to the exercise we can say that the explanatory variable will be hours / weeks of study.

The response variable is GPA.

We definitely found that between the variables there is a weak or fragile relationship, neither negative nor positive nor linear.

1.Observational study, since we observe that the only variables that will influence the results of the study are the observations of the students

2.No. This study is observational and its characteristics are not sufficient to conclude that studying more hours leads to obtaining a higher GPA.

8 0

3 years ago

PLEASE HELP ASAP

vovikov84 [41]

Answer:

Third option

Step-by-step explanation:

$x^{2}$ -10x+25=0 is the correct answer. 100% sure

7 0

3 years ago

Read 2 more answers

Dodd knit

Alecsey [184]

Answer:

108

Step-by-step explanation:

The total of stitches in width is 108, if 9 inches is the total inches in width. The remaining stitches of the remaining width (if this is the case) would be 84 stitches. If we are combining 9 and 2, the total amount of stitches would be 132. If you would like the work, you can ask otherwise hope this helped!

5 0

2 years ago