Answer:
B. The rate of change are the same, but the u-intercept are different
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
x^2 + (x+3)^2 = 117
x^2 + x^2+6x+9 =117
2x^2 + 6x - 108 = 0
(2x-12)(x+9)=0
x=-9,6
x cannot be negative therefore, x = 6
Option B
Step-by-step explanation:
Step 1 :
Option A does not represent the Venn diagram because it specifies that the triangle does not have 3 vertices which is not true
Step 2 :
Option B is the conditional statement which is represented by the Venn diagram because a triangle has 3 corners or vertices and 3 lines or edges.
Step 3 :
The statement in option 3 and 4 is not represented by the Venn diagram as it is not the definition of a triangle
Answer:
Step-by-step explanation:
This is a system of inequalities problem. We first need to determine the expression for each phone plan.
Plan A charges $15 whether you use any minutes of long distance or not; if you use long distance you're paying $.09 per minute. The expression for that plan is
.09x + 15
Plan B charges $12 whether you use any minutes of long distance or not; if you use long distance you're paying $.15 per minute. The expression for that plan is
.15x + 12
We are asked to determine how many minutes of long distance calls in a month, x, that make plan A the better deal (meaning costs less). If we want plan A to cost less than plan B, the inequality looks like this:
.09x + 15 < .15x + 12 and "solve" for x:
3 < .06x so
50 < x or x > 50
For plan A to be the better plan, you need to talk at least 50 minutes long distance per month. Any number of minutes less than 50 makes plan B the cheaper one.
