Answer: True!
We know this is true because a linear inequality uses less than/greater than and less than or equal to/greater than or equal to. This means that as long as the answer fits into the given constraints (in a graph these constraints are shown as lines and dashed lines), it is true.
Answer:
A unique triangle
Step-by-step explanation:
12+7 > 14
12 + 14 > 7
7 + 14 > 12
By the Triangle Inequality Theorem, 12, 7, 14 can make a triangle ( not take triangle's direction or in which quadrant into our consideration)
The equation is y= -5/2x + (-10)
To find the y-intercept you use the equation.
y= -5/2x + b
You substitute y with the y value which is 5 and x with the x value which is -6. You multiply -5/2 by -6 which gives us 30/2 which equals to 15. Then you subtract 15.
5= -5/2(-6) + b
5-15 = 15 - 15
b= -10
The slope is -5/2 and the y-intercept is -10
So the equation of the line is y= -5/2x + (-10)
Hope this helps, please mark brainliest!
Answer:
Runner-up: $15,000
Winner: $75,000
Step-by-step explanation:
Let's create an equation for this problem.
Let x=the amount the runner-up receives
Let 5x=the amount the winner receives
Then,
x+5x=90,000
6x=90,000
x=15,000
5x=75,000
