<h3>
Answer: D) -3</h3>
Explanation:
Recall that y = f(x) since both are outputs of a function.
If k = 2, then f(x) = 2 leads to y = 2 being a horizontal line drawn through 2 on the y axis. This horizontal line only crosses the cubic curve at one spot. The same can be said if k = 0 and k = -2. So we can rule out choices A,B,C.
On the other hand, if k = -3, then f(x) = -3 has three different solutions. This is because the horizontal line through -3 on the y axis crosses the cubic at 3 different intersection points.
The value of the given trigonometry function is 2√15/15
<h3>Half angles</h3>
Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.
For instance the value of cos theta is expressed as shown below;
cosФ = cos(Ф/2+Ф/2)
cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ = 1 - 2cos²Ф/2
Given the following parameters
cosФ = -7/15
Substitute
cosФ = 1 - 2cos²Ф/2
-7/15 = 1 - 2cos²Ф/2
-2cos²Ф/2 = -7/15 - 1
-2cos²Ф/2 = -8/15
cos²Ф/2 = 4/15
cosФ/2 = 2/√15
Rationalize
2/√15 * √15/√15
2√15/15
Hence the value of the given trigonometry function is 2√15/15
Learn more on trigonometry function here: brainly.com/question/2254074
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Answer:
It can hold up to 
of waste
<em></em>
Step-by-step explanation:
Given
-- Diameter
-- height
Required
Determine the amount of waste it can hold
This simply means that we calculate the volume of the cylindrical container.
And this is calculated using:
Where
and
So, we have:
<em>Hence, it can hold up to </em><em> of waste</em>
Step-by-step explanation:
line s || line t
r is the transversal,
Therefore,
(7x-2)°= (6x+18)° {exterior alternate angles}
7x-6x=18+2
x=20°
r is also a straight line,
therefore,
7x-2+angle1=180° (straight angle)
7x-2+ angle1=180°
7(20)-2+ angle 1= 180°
140°-2+ angle 1= 180°
angle 1= (180-140+2 )°= 42°
angle 1= 42°
Answer:
-5x + 7
Step-by-step explanation:
-4x - 2y = -2
x - 2y = 9
First, you're going to subtract the equations from each other.
(-4x - 2y = -2) - (x - 2y = 9)
Next, you need to get rid of the equal sign in both equations.
(-4x - 2y = -2) - (x - 2y = 9)
+2 +2 -9 -9
After you get rid of the equal signs, you will distribute the sign to the equation and then subtract everything.
-4x - 2y + 2 - x + 2y + 9
Now, combine the like terms.
(-4x -x) + (-2y + 2y) + (2 + 9)
Finally, calculate the terms and solve.
-5x + 7
