Answer:
x = -3+√5, -3-√5 (exact roots)
or x = -0.76, -5.24 to the nearest hundredth.
Step-by-step explanation:
x² + 6x = - 4
Completing the square:
(x + 3)^2 - 9 = -4
(x + 3)^2 = 5
x + 3 = +/-√5
x = - 3 + √5, - 3 - √5
The answer is b: 95.03 ft^2
Divide 5.5 by 2 to get the radius of 2.75.
Use 4(pi)(r)^2 to get the surface area of the sphere.
Answer:
The zeros are 0, 4, 6.
The y-intercept is 0.
Step-by-step explanation:
f(x) = x^3 - 10x^2 + 24x
x^3 - 10x^2 + 24x = 0
x(x^2 - 10x + 24) = 0
x(x - 4)(x - 6) = 0
x = 0 or x - 4 = 0 or x - 6 = 0
x = 0 or x = 4 or x = 6
y-intercept:
Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.
You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).
Let x = 0.
f(0) = 0^3 - 10(0^2) + 24(0)
f(0) = 0
y-intercept: 0
Answer:
12x-12
Step-by-step explanation:
I believe this is the correct answer, but correct me if I'm wrong.
3y = 5x + 30
y + 5x = 50 .......(1)
3y - 5x = 30 .....(2) - rearranging the first equation.
Add (1) and (2):-
4y = 80
y = 20
Now plug y = 20 into equation (1):-
20 + 5x = 50
5x = 30
x = 6
The 2 numbers are 6 and 20.
