Answer:
-8
Step-by-step explanation
2 to the power of -1 = 0.5
5 to the power of -1 = 0.2
0.5/0.2 = 2.5
So,
(2.5)2 x -5/8 to the power of -1
-5/8 = -0.625
-0.625 to the power of -1 = -1.6
So,
(2.5)2 x -0.625
5 x -0.625
= -8
Answer:
306.25
Step-by-step explanation:
12.25(25)
X^2 + y^2 = (3x^2 + 2y^2 - x)^2
2x + 2y f'(x) = 2(3x^2 + 2y^2 - x)(6x + 4y f'(x) - 1) = 36x^3 + 24x^2yf'(x) + 24xy^2 + 16y^3f'(x) - 4y^2 - 18x^2 - 8xyf'(x) + x
f'(x)(2y - 24x^2y - 16y^3 + 8xy) = 36x^3 + 24xy^2 - 4y^2 - 18x^2 - x
f'(x) = (36x^3 + 24xy^2 - 4y^2 - 18x^2 - x)/(2y - 24x^2y - 16y^3 + 8xy)
f'(0, 0.5) = -4(0.5)^2/(2(0.5) - 16(0.5)^3) = -1/(1 - 2) = -1/-1 = 1
Let the required equation be y = mx + c; where y = 0.5, m = 1, x = 0
0.5 = 1(0) + c = 0 + c
c = 0.5
Therefore, the tangent line at point (0, 0.5) is
y = x + 0.5
Put 65 over 100 so it's a fraction and simplify from there i think
Answer:
B
Step-by-step explanation:
THis is a single equation with a single variable [y].
We can separate the variable in one side and the numbers to another and solve for y. Shown below:
3y + 4 = -2
3y = -2 - 4
3y = -6
y = -6/3
y = -2
THus, this equation has only 1 solution. B is correct
