.Write the quadrants/axes in which the following points lie a) (2,-3) b)(0,8) c)(-1,-2) d)(4,7)

[see below]

Step-by-step explanation:

Quadrant One has a positive value for both x and y. (+ , +)

Quadrant Two has a negative x value. (- , +)

Quadrant Three has a negative value for both x and y. (- , -)

Quadrant Four has a negative y value.  (+, -)

Therefore:

(2, -3) would be plotted in Q4. It does not lie on any axis.

(0, 8) would be on the positive y-axis. (0 is neither negative nor positive.)

(-1, -2) would be plotted in Q3.  It does not lie on any axis.

(4, 7) would be plotted in Q1.  It does not lie on any axis.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;