Step-by-step explanation:
9=-3+n+2n
9+3=n+2n
12=3n
n=12/3
n=4
Step-by-step explanation:
The property of translations on a coordinate plane, is pretty easy to remember, if you go up, you add to the y, if you go down, subtract from the y
If you go left, subtract from the x, if you go right, add to the x.
Example: State the number of moves the x and y variable in each vertex had to go through and what direction, (-100, 27) to (100,0)
Answer:
The x had to go through 200 moves to the right to add 200 onto the x
The y had to go through 27 moves to the left to subtract 27 from y.
Hope this helps!
Using the vertex of a quadratic function, it is found that:
a) The revenue is maximized with 336 units.
b) The maximum revenue is of $56,448.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:

The vertex is given by:

In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
The demand function is given by:
p(x) = 336 - 0.5x.
Hence, the revenue function is:
R(x) = xp(x)
R(x) = -0.5x² + 336x.
Which has coefficients a = -0.5, b = 336.
Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
#SPJ1
Answer:
We need a sample size of at least 1698.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
You want the margin of error to be only one minute. What sample size do you need if the confidence level is 99%?
This is at least n when
. So





Rouding up
We need a sample size of at least 1698.
See explanations.
Step-by-step explanation:
1. Triangles are similar
Reason: corresponding angles are equal/congruent.This means;
∠A≅∠D , ∠C≅∠F and ∠B≅∠E
2.
a) Triangles are similar
Reason: corresponding angles are congruent.
15/5 =a/3
3=a/3
3*3=a
a=9cm
b) Triangles are similar because angles in corresponding sides are congruent.
20/12=15/b
20b=12*15 -----cross product applied
20b=180
b=180/20
b=9 cm
c) Triangles are because angles in corresponding sides are congruent.
15/5=d/4
cross product
15*4=5d
60=5d
60/5 =d
12m =d
Learn More
Properties of similar triangles: brainly.com/question/8691470
Keywords : triangles, similar, length,
#LearnwithBrainly