Answer:
A. Discriminant = 116
B. Number of solutions for the quadratic equation = 2
C. Type of solutions (circle one):Imaginary
D. Type of solutions (circle one):irrational
Step-by-step explanation:
The given quadratic equation is
We rewrite in standard form to get;
The discriminant is
where a=1, b=8, c=-13
We substitute to get:
Since the discriminant is great than zero, we have two distinct real roots
Answer:
105.26
Step-by-step explanation:
the 2 numbers are 8 and 40
40*2 = 80 +8 = 88
well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year. We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.
Wendy spent four hours on the train.
If the...
Train Speed= 60 mph
Train Time= x
Bus Speed= 40 mph
Bus Time= 5.5-x
Total Time= 5.5 hr
and
Total Distance= 300 miles
Then we can put all of that into the equation...
60x + 40(5.5-x)= 300
Now, following the order of operations we can free the x from the parenthesis by multiplying 40 by 5.5 and (-x) to get...
60x + (-40x) + 220= 300
Next we can simplify by adding the 60x and (-40x) to get...
20x + 220= 300
After that we need to get the x alone on the left side. To do this we must use reverse order; if we subtract 220 from 220 on the left side and then we can subtract 220 from 300 on the left side. Remember the Golden Rule of Algebra! If you add, subtract, multiply, divide, or raise to a power on one side you must do it on the other! This gives us...
20x + 220 - 220= 300 - 220
20x= 80
Now all that is left to get x all alone on the left is to look back at the golden rule of algebra and divide 20 from both 20x and 80. Which gives us...
20x/20 = 80/20
x= 4
And that gives us our answer! 4 hours :D
Hope this helped!
