Select the correct answer.

Lines are drawn through the point (2, 8) and the points given below. Select two points that correspond with lines with negative

aleksley [76]

Since the slope is (change in y)/(change in x), and a negative number over a positive number is negative (and vice versa), we want to figure that out. Therefore, we would want 2 to be bigger than the x value and 8 smaller than the y value, or the other way around. (0,9) fits the description, as well as (5, 6)

5 0

3 years ago

5. What is the probability that a number picked from the set {-4,-3,-2,-1,0,1,2,3,4,5) will be a

tatiyna

Answer:

70%.

Step-by-step explanation:

Rearrange the inequality to isolate $x$ . Start by subtracting $5$ from both sides of the inequality:

$2\,x + 5 - 5 > 1 - 5$ ,

$2\, x > -4$ .

Divide both sides by $2$ . (Keep in mind that if the multiplier or divisor is smaller than zero, it will flip the inequality sign.)

$x > -2$ .

There are ten numbers in this set. Only seven of them will satisfy this inequality. Note that the " $>$ " symbol means strictly greater than (while " $\ge$ " means greater than or equal to.) As a result, $x = -2$ will not count as a solution.

Assume that the number is picked randomly.

$\begin{aligned}&\text{Probability of Success} \cr = & \dfrac{\text{Number of Choices that lead to Success}}{\text{Number of all Choices}} \cr =& \dfrac{7}{10} \cr = &0.7 \cr =& 70\% \end{aligned}$ .