Answer: last option
Step-by-step explanation:
The formula to find the Discriminant is:
Given the quadratic equation 
, you can identify that:
Now, you can substitute values into the formula , then:
As the Discriminant is greater than 0 (
), then the quadratic equation has two distinct real solutions.
<h3>Answer:</h3>
x=5, y=2
<h3>Explanation:</h3>
The second equation gives an expression for x that can be substituted into the first equation.
... (y+3) +y = 7 . . . . . .substitute y+3 for x
... 2y + 3 = 7 . . . . . . . colect terms
... 2y = 4 . . . . . . . . . . subtract 3 from both sides
... y = 2 . . . . . . . . . . . . divide both sides by 2
Using the expression for x, we can find its value.
... x = y + 3
... x = 2 + 3 . . . . . . . . . substitute for y
... x = 5
The solution is (x, y) = (5, 2).
Work is attached. Hope it helps!
Let the constant be k.
For an inverse squared proportion the formula is y = k/x^2
Insert values of y and x into the formula.
3 = k/(-4)^2
3(-4)^2 = k
k = 3(16)
k = 48
Hope this helps. :)
Answer:
f(x)=0.17x+3.00
f(60)=0.17(60)+3.00
f(60)=10.20+3
f(60)=13.20
1 hour will cost $13.20
Step-by-step explanation:
I found the difference in minutes between the given values and the difference in cost between the given values. Between 8 minutes and 25 minutes is 17, and between 25 and 40 is 15 minutes. The difference of $7.25 and $4.36 is $2.89, and the difference between $7.25 and $9.80 is $2.55. I then divided2.89 by 17 and 2.55 by 15 and both resulted in $0.17/minute. I them multiplied 8 minutes by $0.17 toget $1.36. I subtracted that from the cost given for 8 minutes to get $3.00. The $3.00 is the initial charge, or b in slope-intercept form with m=0.17. Plug in 60 for x to find the cost of an hour.
