Which of the following x-values makes the inequality -4x + 9 ≤ -23 true?

2+3x+4x2+3x3 is 2+3+8+9

Step-by-step explanation:

you have to result the multiple firt and then to add the rest operation.

the result of the operation is 57

1/4*13=3.25 gallons

2.50*4=10

3.25+4=7.25

The answer is 7.25 gallons

Answer:

The Interquartile range is 188

Step-by-step explanation:

Missing Data:

1,19,35,43,49,55,63,94,105,110,175,231,239,351,738

Required

Determine the Interquartile range (IQR)

The given data is ordered already.

First, we need to determine the median

For odd number of data

Median = ½(n + 1)th

In this case, n = 15; so

Median = ½(15 + 1)th

Median = ½(16)th

Median = 8th

This implies that the median is at the 8th position.

So, we have:

1,19,35,43,49,55,63 ----> Lower

(94) ---- Median

105,110,175,231,239,351,738 ---- Upper

Next, we determine the median of the lower and upper sets.

These are called lower quartile (Q1) and upper quartile (Q3) respectively

Lower: 1,19,35,43,49,55,63

Number of data, n = 7

Q1 = ½(n + 1)th

Q1 = ½(7 + 1)th

Q1 = ½(8)th

Q1 = 4th position

From the list of data in the lower set,

Q1 = 43

Upper: 105,110,175,231,239,351,738

Number of data, n = 7

Q3 = ½(n + 1)th

Q3 = ½(7 + 1)th

Q3 = ½(8)th

Q3 = 4th position

From the list of data in the upper set,

Q3 = 231

IQR is then calculated as thus:

IQR = Q3 - Q1

IQR = 231 - 43

IQR = 188

The equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

The equation of a line in point slope form is expressed as;

• y-y0 = m(x - x0)

• m is the slope of the line

• (x0, y0) is the point on the line

Given the following parameters;

Slope  = 2

Point on the line is (1, 5)

Substitute the given parameters into the formula to have:

y - 5 = 3(x-1)

y - 5 = 3x - 3

y = 3x + 2

Hence the equation that describes the line that contains (1,5) and has a slope of 2 is y = 3x + 2

Learn more on equation of a line here: brainly.com/question/18831322