the roots are and
Step-by-step explanation:
here we use Shridhar acharya formula
if a + bx +c = 0 is the quadratic equation
the the roots are , and
comparing with the equation we get a=1 b= -7 c = -3
hence the roots are and
= and
Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
X+3 or x-8
These answers will both work!
Answer:
The rate of interest is 12 %.
Step-by-step explanation:
The yearly compound interest on sum of money in one and two years are RS 1800 and RS 3816 respectively.
Answer:
The coordinates of the point is (3,5 , 400)
Step-by-step explanation:
The question is incomplete as the graph is not given in the question. Lets complete the question first. I have attached the graph related to this question below.
We can see in the graph that x-axis represents the years while the y-axis represents the pennies collected by Harry.
We have to find the coordinates of the point where he is able to collect 400 pennies.
As y-axis represents pennies, and the point to be found is at 400 pennies, so the y-coordinates of the point is 400.
Harry collects 400 pennies when he is halfway through 4rth year, which means that he has been collecting for:
3 years + Half of 4rth year = 3.5 years.
As x-axis represents the year and the point to be found is at 3.5 years, so the x-coordinate of the point is 3.5.
So, the coordinates of the point is (3,5 , 400)
This point can be seen in the second graph