Answer:
17/3 = 68/12
Step-by-step explanation:
17/3 =? 68/12
Get a common denominator of 12
17/3 * 4/4
68/12
They are equal so this is true
Answer:17
Step-by-step explanation:trust me use mathaway;) mathaway dot com
The function, as presented here, is ambiguous in terms of what's being deivded by what. For the sake of example, I will assume that you meant
3x+5a
<span> f(x)= ------------
</span> x^2-a^2
You are saying that the derivative of this function is 0 when x=12. Let's differentiate f(x) with respect to x and then let x = 12:
(x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
[x^2-a^2]^2
(144-a^2)(3) - (36+5a)(24)
------------------------------------ = 0
[ ]^2
Simplifying,
(144-a^2) - 8(36+5a) = 0
144 - a^2 - 288 - 40a = 0
This can be rewritten as a quadratic in standard form:
-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.
Solve for a by completing the square:
a^2 + 40a + 20^2 - 20^2 + 144 = 0
(a+20)^2 = 400 - 144 = 156
Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)
Finally, a = -20 plus or minus 2sqrt(39)
You must check both answers by subst. into the original equation. Only if the result(s) is(are) true is your solution (value of a) correct.
Answer:
B
D
C
C
C
Step-by-step explanation:
There you go, have a good day
To figure out how many kids are in the school, you must set up an
equation with x representing the number of students. 30% of the students
are in the play, so that would be represented by 0.3x. We also know
that 140 students are not in the play, that could be represented by
x-140. These two equations will equal each other since they both
represent the same information, which is the number of children in the
play. You set those two equations equal to one another (0.3x = x-140).
You then can add 140 to the left side of the equation and subtract 0.3x
from the right side. We do this in order to get both values of x on the
same side of the equation. We then can simplify the right side of the
equation by subtracting 0.3x from 1x. We get 0.7x. Our equation now
looks like 140 = 0.7x. We must now divide each side of the equation by
0.7 in order to get the x all by itself and find its value. 140 divided
by 0.7 is 200. The number of students in the school is 200.
