Answer:
x =3
Step-by-step explanation:
3(4x + 4) = 2(5x+9) - 12
First step is to open the brackets by multiplying. It becomes
3×4x + 3×4 = 2×5x + 2×9 -12
12x + 12 = 10x + 18 - 12
Collecting like terms on the right hand side and left hand side of the equation, it becomes
12x -10x = 18 -12 -12
2x = -6
Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes
2x = -6
x = -6/2 = -3
Checking
3(4×-3 + 4) = 2(5×-3+9) - 12
-24 = -12-12= -24
So x = -3
The equation in spherical coordinates will be a constant, as we are describing a spherical shell.
r(φ, θ) = 8 units.
<h3>
How to rewrite the equation in spherical coordinates?</h3>
The equation:
x^2 + y^2 + z^2 = R^2
Defines a sphere of radius R.
Then the equation:
x^2 + y^2 + z^2 = 64
Defines a sphere of radius √64 = 8.
Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:
r(φ, θ) = 8 units.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
For this case, what you must do is to see in which scenario the speed of keeping constant during a certain time.
"A person biking on a trail at 1212 miles per hour for 2020 minutes"
We observe that the distance in this case is proportional to the time and the constant of proportionality is the speed.
In other words:
d = v * t
Answer:
the distance traveled is proportional to time in:
"A person biking on a trail at 1212 miles per hour for 2020 minutes"
Answer:
i think probably 20
Step-by-step explanation:
if 200 students, students do not prefer math 10/100 × 200 = 20
Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:
(-15,-10).
<h3>What is the slope of the tangent line to a function f(x) at point x = x0?</h3>
It is given by the derivative at x = x0, that is:
.
In this problem, the function is:
Hence the derivative is:
For a slope of -1, we have that:
0.4x + 5 = -1
0.4x = -6
x = -15.
For a slope of 1, we have that:
0.4x + 5 = 1.
0.4x = -4
x = -10
Hence the interval is:
(-15,-10).
More can be learned about derivatives and tangent lines at brainly.com/question/8174665
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