Answer:
11 1/12
Step-by-step explanation:
6 1/3 = 19/3
7 1/4 = 29/4
2 1/2 = 5/2
19/3 + 29/4 - 5/2
We must find the LCM of 3, 4, and 2. This happens to be 12
3*4 = 12
4*3 = 12
2*6 = 12
Multiply each fraction by the factor that'll get it to 12.
19/3 * 4/4 = 76/12
29/4 * 3/3 = 87/12
5/2 * 6/6 = 30/12
Now go through the problem
76/12 + 87/12 - 30/12
76 + 87 = 163
163/12 - 30/12
163 - 30 = 133
133/12
Simplify
133/12 = 11.0833... or 11 1/12
Hope this helps.
Answer:
which class question is this
Answer:
i think this is the answer
The answers are x = -1, 1, i√7/3, -i√7/3.
Solution:
Solving by making a u-substitution, we let u = x² and rewrite the equation in quadratic form.
9u² - 2u - 7 = 0
We can now solve the quadratic equation by factoring. We need two numbers whose sum is -2 and whose product is -7. In this case, it would have to be 7 and -1, considering the term 9u². Hence, we can also write our equation in the factored form
(u - 1)(9u + 7) = 0
Now we have a product of two expressions that is equal to zero, which means any u value that makes either (u - 1) or (9u + 7) zero will make their product zero.
u - 1 = 0 => u = 1
9u + 7 = 0 => u = -7/9
We substitute back x² = u to calculate for x.
u = 1 => x² = 1 => x = -1, 1
u = -7/9 => x² = -7/9 => x = i√7/3, -i√7/3
Therefore, the solutions are −1, 1, i√7/3, and -i√7/3.<span> </span>
The coordinates give are
(0,6)
(4,9)
(3,6)
(2,3)
These points can be substituted into the systems of equation in the choices and inspect which equations satisfy the value of the points. Doing this, the answer is
3x - 4y = -24
3x - y = 3