Some teachers compared how many years they have been teaching.

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

5 0

Answer:

Step-by-step explanation:

The range of a data set is the numbers covered by the data. This means that the range is the difference between the minimum and maximum. The minimum is the smallest point, 2, and the maximum is the largest point, 8. Therefore, since 8-2=6, 6 must be the range.

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Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

Tasya [4]

Answer:

The slope of a line that is perpendicular to the given line is $-\frac{3}{2}$

Step-by-step explanation:

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

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Solve for "y" from the equation of the line $2x - 3y - 5 = 0$ :

$2x - 3y - 5 = 0\\\\-3y=-2x+5\\\\y=\frac{-2}{-3}x+\frac{5}{-3}\\\\y=\frac{2}{3}x-\frac{5}{3}$

You can observe that the slope of this line is:

$m=\frac{2}{3}$

By definition, the slopes of perpendicular lines are negative reciprocal, then, the slope of a line that is perpendicular to the give line, is

$m=-\frac{3}{2}$

5 0

3 years ago

Given system 2x-4=5 5x+4y=2 Solve for x and y and SHOW ALL OF YOUR WORK

Georgia [21]

I'm solving your system by substitution.
2x-4=5, 5x+4y =2
Step# 1: solve for x
2x - 4+ 4= 5 + 4( add +4 to both sides)
2x = 9
x = 9/2
Step# 2: solve for y

5(9/2) + 4y = 2
4y + 45/2 = 2
4y 45
y = 45/4 = 11.25

5 0

3 years ago

Macy deposited $25,000 in a money market account earning 2.5% interest, compounded semiannually. What is Macy's return on this i

Irina-Kira [14]

After 4 years the rate would have happened 4 times making the initial deposit increase 10%. 10% of 25000 is 2500. So 25000 plus 2500 is $27500.

5 0

3 years ago

Read 2 more answers

IF a= 6 and b= 7, then 4a(3b+5) + 2b =?

lukranit [14]

Answer:

Step-by-step explanation: