Answer:
the function has two distinct real roots.
Step-by-step explanation:
D=b²-4ac
D<0 No real roots
D=0 One real root
D>0 Two distinct real root.
(-5)²-4*1*-3
25+12
37
Since D is > than 0, the function has two distinct real roots.
Answer:
50%
Step-by-step explanation:
There are 3 numbers fitting the rule, 1, 3, and 5. There is a 3/6 chance of picking one of them or 50%.
Answer:
Step-by-step explanation:
5x - 2y = 19
-5x + 5y = 5
3y = 24
y = 8
-x + 8 = 1
-x = -7
x = 7
(7, 9)
Answer:
The quadratic equation is X^2 -26X +144=0
Step-by-step explanation:
You can do it shortly by using the formula
X^2-(sum)x+ product
which will give you
X^2- (8+18)x+8×18
=X^2 -26x +144
=X^2 -8x-18x + 144
=(X^2-8x)(-18x+144)
=X(X-8)-18(x-8)=0
(X-18)(X-8)=0
X-18=0 And X-8=0
X=18 X=8
. Therefore the quadratic equation is X^2 -26X +144
Answer:
- field size: 1750 acres
- developed area: 1400 acres
Step-by-step explanation:
If the developed area is 80% of the field, and the undeveloped area is 20%, then the developed area is 4 times the undeveloped area, so is ...
developed area = 4 × 350 acres
developed area = 1400 acres
Then the total area is ...
total area = developed area + undeveloped area = (1400 +350) acres
total area = 1750 acres
