The quadratic equation has two solutions if b^2 - 4ac > 0
Given the equation ax^4 + bx^2 + c=0
Substitute into the formula to have:
The equation becomes aP^2 + bP + c = 0
For us to have a unique solution, the discriminant b^2 - 4ac must be greater than zero. Hence the quadratic equation has two solutions if b^2 - 4ac > 0
learn more on discriminant here; brainly.com/question/1537997
Answer:
8-(-7)=
8(7)=
8+7=15
Step-by-step explanation:
prove me wrong
Answer:
(x + 4)2 + (y - 9)2 = 25
Step-by-step explanation:
The man invested 1/5 of the money at 4/100. Which says he earns 4/500 of his total money on one month.
He also invested 1/2 of the money at 5/100. Which means he earns 5/200 of his total money per month.
For the last part, he spent the rest of the money which is: x + 1/5 + 1/2 = 1
Make the denominators equal: x + 2/10 + 5/10 = 10/10
Add like terms: x + 7/10 = 10/10
Substract 7/10: x=3/10
He gave this money for 3.5/100 interest. Which equals 10.5/1000 of his total money.
When you add the three values: 4/500 + 5/200 + 10.5/1000
Make denominators equal: 8/1000 + 25/1000 + 10.5/1000
Add the like terms: 43.5/1000
This means the man's money's 43.5/1000 is equal to $870
Set the values equal: 43.5x/1000 = 870
Make the denominators equal: 43.5x/1000 = 870,000/1000
Multiply with 1000: 43.5x = 870,000
Divide both sides by 43.5: x = 20,000
The man's total money is $20,000
Answer:
$24.375
Step-by-step explanation:
Regular price of sandals = $32.50
Store sells sandals for 25% of the regular price.
Hence selling price =(100-25)% of the regular price.
In other words, selling price = 75% of regular price
= 75% of $32.50
= ![\[\frac{75}{100}*32.50\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B75%7D%7B100%7D%2A32.50%5C%5D)
= ![\[24.375\]](https://tex.z-dn.net/?f=%5C%5B24.375%5C%5D)
Hence the sale price of the sandals is $24.375
This is $8.125 less than the regular price of the sandal.