Answer:
not 100% sure think it's B.
Step-by-step explanation:
have a nice day sorry if it's wrong
If you plot these points on a coordinate plane, you see that both vertices and foci lie on the y axis. This means that you have a vertical hyperbola, and the equation looks like this:
where h and k are the center. When you look at your graph, the origin is dead center between the vertices. (0, 0) is our h and k. Now we need a, b, and c. a is the distance between the center and the vertices, so our a = 4, and c is the distance between the center and the foci, so our c = 5. Use these in Pythagorean's Theorem to solve for b:
and
and b = 3. So we have all we need to do is replace all the variables. Our equation then would be this one:
or, simplified,
Answer:
-1 / x + (x + 1) / (x² + 3)
Step-by-step explanation:
(x − 3) / (x (x² + 3))
There are two factors in the denominator, so split this into two fractions with unknown numerators:
A / x + (Bx + C) / (x² + 3)
Combine back into one fraction:
(A (x² + 3) + (Bx + C) x) / (x (x² + 3))
Now equate this numerator with the original:
A (x² + 3) + (Bx + C) x = x − 3
Ax² + 3A + Bx² + Cx = x − 3
(A + B) x² + Cx + 3A = x − 3
Match the coefficients:
A + B = 0
C = 1
3A = -3
Solve:
A = -1
B = 1
C = 1
Therefore, the partial fraction decomposition is:
-1 / x + (x + 1) / (x² + 3)
Here's a graph showing that the two are the same:
desmos.com/calculator/hrxfnijewh
Answer:
34 members
Step-by-step explanation:
The math club at Emily's middle school has the number of members = 40
On Saturday only 85% of the members were attend the meeting.
Number of members who attend the Saturday meeting
= 85% of 40
= 0.85 × 40
= 34 members
34 members attend the Saturday meetings.
14-5+20÷2∧2+4
exponent first: 14-5+20÷4+4
Divide: 14-5+5+4
Solve left to right: 9+5+4
add all: 14+4 = 18