Answer:
x = 17 and y = 37
Step-by-step explanation:
Let the numbers be x and y.
y = 3 + 2x
xy = 629
substituting y in the second equation we get
x(3+2x) = 629
3x + 2
= 629
2 + 3x - 629 = 0
Solving a quadratic equation by using its formula:
x = [-3 ±√(9-4(2)(-629)] / 4
x = [-3 ± √5041] / 4
x = [-3 ± 71] / 4
x = 17 and 
Ignore the negative number in x and just use x = 17 in the first equation we get
y = 3 + 2(17) = 37
Answer:
A 6.4
Step-by-step explanation:
(4/5)/(1/8) this is the answer
Answer:
A. 76
B. We will get two real solutions for the equation.
Step-by-step explanation:
A
For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.
In 3x²-2x-6=0, a=3, b=-2 and c=-6:
b²-4ac
(-2)²-4(3)(-6)=4+72=76
B.
When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.
The formula of getting the volume of a regular prism is L x W x H = V.
Given: V: 7.35m3
L: 4.2 m
H: 50 cm (Convert this to meters) = 0.5m
W: ?
L x W x H = V
4.2 x W x 0.5m = 7.35m3
2.1m2 x W = 7.35m3 <-- Divide both sides by 2.1m2
The result would be W= 3.5m
So the width of the pond is 3.5m
Hope this solution helps you!
