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photoshop1234 [79]
3 years ago
15

What is the general equation of a cosine function with an amplitude of 3, a period of 4pi, and a horizontal shift of -pi?

Mathematics
2 answers:
HACTEHA [7]3 years ago
8 0

Answer:

d

Step-by-step explanation:


DochEvi [55]3 years ago
7 0

The answer should be C.

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Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2
Dima020 [189]
ANSWER

The solution is where the two graphs intersect, which is
(-3,1).

EXPLANATION

The given system of equations are
y = \frac{1}{3} x + 2
and

y = - x - 2

We need to graph the two equations.

Let us graph

y = \frac{1}{3} x + 2
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
x = 0

\Rightarrow \: y = \frac{1}{3} (0) + 2

\Rightarrow y = 0 + 2

\Rightarrow y = 2

So this gives us the ordered pair,

(0,2)

When
y = 0
we get,

0= \frac{1}{3} x + 2

\Rightarrow \: - 2 = \frac{1}{3} x

\Rightarrow \: - 2 \times 3= x

\Rightarrow \: -6= x
This also gives the ordered pair

(-6,0).

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

y = - x - 2

We again find the intercepts and plot them.

When
x = 0

y = - 0 - 2

\Rightarrow \: y = - 2

This gives the ordered pair

(0,-2)

Also, when
y = 0

then we have,

0 = - x - 2

2 = - x

x = - 2

Then we again have the ordered pair,

(-2,0)

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
(-3,1)


You will get good grades so don't worry much.

4 0
3 years ago
If a triangle has at least two congruent sides, it is an isosceles triangle. An equilateral triangle has three congruent sides.
Bingel [31]
B. An equilateral is an isosceles triangle
3 0
3 years ago
Read 2 more answers
The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previ
jekas [21]

Given Information:

Cost price = $4

Selling price = $10

Salvage value = $1.50

Average demand = μ = 250 boxes

Standard deviation = σ = 34 boxes

Required Information:

Number of lettuce boxes = ?

Answer:

The supermarket should purchase 268 boxes  of lettuce

Step-by-step explanation:

The required number of lettuce boxes that supermarket should purchase is given by

Number of lettuce boxes = μ + (z*σ)

Where μ is the average demand of lettuce boxes, σ is the standard deviation, and z is the z-score which is given by

p = C_us/(C_us + C_os)

The z-score corresponding to probability p will be obtained.

The cost of under stocking is given by

C_us = Selling price - Cost price

C_us = $10 - $4

C_us = $6

The cost of over stocking is given by

C_os = Cost price - Salvage value

C_os = $4 - $1.50

C_os = $2.50

p = C_us/(C_us + C_os)

p = 6/(6 + 2.50)

p = 0.7058

p  = 70.58%

The z-score corresponding to 70.58% probability is approximately 0.54

Number of lettuce boxes = μ + (z*σ)

Number of lettuce boxes = 250 + (0.54*34)

Number of lettuce boxes = 250 + (18.36)

Number of lettuce boxes = 268.36

Number of lettuce boxes ≈ 268

Therefore, the supermarket should purchase 268 boxes of lettuce.

How to use z-table?

Step 1:

In the z-table, find the probability you are looking for and note down the two-digit number of the given row. (e.g 0.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table and note down the value in the column for the remaining decimal point in the range of 0.00 to 0.09.

Step 3:

Finally, add the numbers obtained from step 1 and step 2.

8 0
3 years ago
Determine the equation of a circle whose diameter has the endpoints (-1, 2) and (7.
Viefleur [7K]

Answer:

(x - 3)^2 + (y + 1) = 25

Step-by-step explanation:

First find the midpoint of the diameter, because that represents the center of the circle.

                                                                     -1 + 7

The x-coordinate of the midpoint is xm = ---------- = 3

                                                                          2

                                                 2 - 4

and the y-coordinate is ym = ---------- = -1

                                                     2

And so the center of this circle is at (3, -1).

Use the Pythagorean Theorem to determine the square of the radius:

square of radius = 4^2 + (-3)^2 = 16 + 9 = 25

And so the equation of this circle is (x - 3)^2 + (y + 1) = 25

5 0
3 years ago
Read 2 more answers
Jennifer drew one point at -3 on a number line, and another point at the opposite of -3 how far apart are Jennifer’s 2 points on
ArbitrLikvidat [17]
They are 6 away from eachother
4 0
3 years ago
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