Hi!
The graph shows an A) Maximum
A Maximum value appears in a graph when all other values of the polynomial are smaller in value i.e. are under it in an X-Y plot. This is expressed mathematically as:
There is a maximum if for a given x*: f(x*) ≥ f(x) for all x.
In the graph, you can clearly see that there is a value that is higher than all the others, so this value is a Maximum.
Answer:
Choice D is correct
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;
The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.
The value of the directrix is determined as;
d = k/e = 3/1 = 3
The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;
x = -3
Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria
Answer:
<u>For this equation the value of x is - 2/3</u>
Step-by-step explanation:
1. Resolving the equation 2/3-4x+7/2=-9x+5/6
-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)
5x = (5/6 - 4/6 -21/6)
5x = -20/6
x = - 20/6 /5 (Dividing by 5 at both sides)
x = -20/6 * 1/5
<u>x = -4/6 = - 2/3 (Simplifying)</u>
2. Proof of replacing x by -2/3
2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6
2/3 + 8/3 + 7/2 = 18/3 + 5/6
10/3 + 7/2 = 6 + 5/6
20 + 21 = 36 + 5 (Multiplying by 6 at both sides)
41 = 41
<u>It means the value of -2/3 for x is correct</u>
Note: Same answer than 13866851
Answer and work in picture:
Answer:
22.5
Step-by-step explanation:
Using PEMDAS, we know that for expressions such as this, we're supposed to multiply before we add. This means that it should look something like this: (3.3 x 2.5) + (5.7 x 2.5). When you solve the multiplication first, you get 8.25 + 14.25. Solve, and you get 22.5. This problem can be solved using any basic calculator, or scratch paper!
