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3 years ago

How to find the midpoint using coordinates A(-1,5), B(2,-3)

2 answers:

5 0

The midpoint formula is (x1+x2)/(2),(y1+y2)/(2). The coordinates will be substituted into this formula: (-1+2)/(2), (5+-3)/(2). This simplifies to (1/2,1). This is the midpoint. Hope this helped!

Alex Ar [27]3 years ago

4 0

Count the line and the distance between them

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A solution to the compound inequality 17 less than or equal to 3 - 2x less than or equal to 21 is given below. Choose the statem

aliina [53]

17<=3-2x<=21 subtract 3 14<=-2x<=18 divide by 2 7<=-x<=9 now mutiply whole inequality by -1, this will reveres the inequality -7>=x>=-9 or -9<=x<=-7 so there are mistakes in the line the corrected lines are 17 less than or equal to 3 - 2x and 3 - 2x less than or equal to 21 (line one) 14 less than or equal to -2x and -2x less than or equal to 18 (line two) -7 greater than or equal to x and x greater than or equal to -9 (line three)

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3 years ago

Find each value of the five-number summary for this set of data. [Note: Type your answers as numbers. Do not round.] 46, 19, 38,

frozen [14]

Answer:

Maximum : 51

Minimum: 12

Median: 38

Lower quartile: 19

Upper quartile: 46

Step-by-step explanation:

To answer this question, we first order the data from largest to smallest:

46, 19, 38, 27, 12, 38, 51

12, 19, 27, 38, 38, 46, 51

It can be seen that the maximum value is:

The minimum value is

Let's call N the amount of data.

To calculate the quartiles we use the following formula:

$Q_1 = X_{\frac{1}{4}(N + 1)}$

So:

$Q_1 = X_{\frac{1}{4}(7 + 1)}$

$Q_1 = X_2$

Where $X_2$ is the data number 2.

Q1 = 19

As the number of data is imapar, then, the median is the central data:

12, 19, 27, {38}, 38, 46, 51

Median = 38

Finally:

$Q_3 = X_ {\frac{3}{4}(n + 1)}\\\\Q_3 = X_ {6}$

Where $X_6$ represents the data number 6

$Q_3 = 46$

4 0

3 years ago

Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,

erma4kov [3.2K]

The y-intercept of is .
Of course, it is 3 less than , the y-intercept of .
Subtracting 3 does not change either the regions where the graph is increasing and decreasing, or the end behavior. It just translates the graph 3 units down.
It does not matter is the function is odd or even.

is the mirror image of stretched along the y-direction.
The y-intercept, the value of for , iswhich is times the y-intercept of .Because of the negative factor/mirror-like graph, the intervals where increases are the intervals where decreases, and vice versa.
The end behavior is similarly reversed.
If then .
If then .
If then .
The same goes for the other end, as tends to .
All of the above applies equally to any function, polynomial or not, odd, even, or neither odd not even.
Of course, if polynomial functions are understood to have a non-zero degree, never happens for a polynomial function.

4 0

4 years ago

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When you owe money, you have a negative balance. You owe $200 to your bank. You pay $30 back. What is your new bank balance?

Mandarinka [93]

So in this problem we need to do some addition.

take the starting balance (-200) and add it to the amount you paid back (30)

-200 + 30 = -170

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3 years ago

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A chi-square test for independence with 10 degrees of freedom results in a test statistic of 18.21. Using the chi-square table,

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3 years ago