Use the graph to complete the statements.
The period is ✔ 2pi/3
The amplitude of the corresponding cosine function is 2..
The vertical shift of the graph of the parent secant function is 1 unit down.

The graph is of the function ✔ 2sec(3x) – 1

THESE ARE THE ANSWERS

This is called system of equations because you are searching a pair of numbers that inserted as x and y verify both equations at the same time.

To solve a system of equation you have to use one equation to express one variable as a function of the other, and substitute the result in the second equation.

In your case you have

y = x - 2

So your y  variable will be always equal to x - 2 , even in the second equation. Then we can write

x - 2 = 4x + 1

Here I replaced the "value" of y in the second equation.

Now you have an equation in one variable that you can solve as usual

x - 2 = 4x + 1

4x - x = - 2 - 1

3x = -3

x = -1

With a value for x you can substitute in one of the two equations and obtain y. Because both equations has to be valid at the same time, both equations must give you the same number for y.  Let's try:

y = x - 2

y = - 1 - 2

y = -3

and, with the second equation

y = 4x + 1

y = 4 ( - 1 ) +  1

y = - 4 + 1

y = -3

It works! Then our solution is given by x = -1 and y = -3.

To graph this, simply plot these coordinates.

Of two traingles

Of 3 rectangles

TSA

Answer:

96 ft²

Step-by-step explanation:

As the base of the prism (the triangle) is an equilateral triangle (the sides are the same length), the surface area of the prism comprises:

Area of a rectangle = width × length

⇒ area of the rectangle = 3 ft × 10 ft = 30 ft²

Area of a triangle = 1/2 × base × height

⇒ area of the triangle = 1/2 × 3 ft × 2 ft = 3 ft²

Total surface area = 3 × area of the rectangle + 2 × area of the triangle

                              = 3 × 30 ft² + 2 × 3 ft²

                              = 90 ft² + 6 ft²

                              = 96 ft²

Answer:

$35 = $12 + $1.85x

Step-by-step explanation:

the total is 35 so it is alone on the left side of the equal sign

then 5 + 7 is 12 and he has to spend $12

rides are 1.85 each so there is a x next to it

Answer:

d 54.5x

Step-by-step explanation:

multiply x by the totals eventually will equal y

300 degrees

Step-by-step explanation:

well times means multiply so 3.5 times 34.80 is 121.8

Answer:

-7x^2+4x+6

Step-by-step explanation:

Make sure your distributing the minus to make -4x and -3 from negative to postive, then just combine like terms ^^ you should be good!

....................

Answer:

Step-by-step explanation:

A and B are complementary angles since C is right angle.

Answer:

Option D

Step-by-step explanation:

Given expression:

The given expression can also be written as;

When simplified, we get;

When we open the parentheses and the curvy brackets, we get;

Finally, we can see that 3 is a whole number. Therefore,

Therefore, Option D is correct.

Answer:

D, or 3 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

6/6 is equal to 1, so substitute that throughout your problem

1 + 1 + 1 + [tex]\frac{3}{6}[/tex]+ [tex]\frac{2}{6}\\[/tex]

1 + 1 + 1 = 3

[tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]

3 + [tex]\frac{5}{6}[/tex] = 3 [tex]\frac{5}{6}[/tex]

Your answer is 3 5/6 or 3 [tex]\frac{5}{6}[/tex]

hope this helps:)

The probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We know the exponential distribution is given by;

[tex]\rm P(X < t)=1-e^{-\dfrac{1}{\mu}t}[/tex]

The probability that the next on-the-job injury will occur within 10 days:

[tex]\rm P(X < 10)=1-e^{-\dfrac{1}{10}10}[/tex]

P(X< 10) = 0.632

The probability that the next on-the-job injury will occur within 20 days:

[tex]\rm P(X < 5)=1-e^{-\dfrac{1}{10}5}[/tex]

P(X< 5) = 0.393

The probability that the next on-the-job injury will occur within 1 days:

[tex]\rm P(X < 1)=1-e^{-\dfrac{1}{10}1}[/tex]

P(X< 1) = 0.095

Thus, the probability that the next on-the-job injury will occur within 10, 5, and 1 day are 0.632, 0.393, and 0.095

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Answer: If you meant (x^2 + 5x - 36)/(x^2-16) then the answer is: (x+9)/(x-4)

Step-by-step explanation:

This is just factoring, you can use guess and check.

If you take just the numerator: x^2+5x-36 and factor. To factor consider -36, and the multiples that can add up to 5 (from 5x).

x^2 + 5x - 36/(x^2-16)

The denominator is actually a rule of (a+b)(a-b) which in this case (x+4)(x-4)

(x+9)(x-4)/(x-4)(x+4)

Now just divide like terms which is the (x-4)/(x-4)=1

(x+9)/(x+4)

The volume of the prism when Joe is packing the cubes will be 210cm³.

It should be noted that the volume of the prism given in this situation will be:

= Length × Width × Height

In this case, since Joe is packing 1-centimeter cubes into a prism. The volume will be:

= Length × Width × Height

= 5 × 6 × 7

= 210cm³

In conclusion, the volume will be 210cm³.

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Answer:

Then the count of 1 cent stamps is 15 −x. So for total cost we have. [45x + 1(15 − x)]cents = $4.55. but there are 100 cents in 1 dollar so we change the above to. [45x +1(15 −x)] 100 = 4.55. Multiply both sides by 100. 45x + 15− x = 455. 44x = 440.

Step-by-step explanation:

Answer:

Step-by-step explanation:

15 divded by 3 is 5 one 5 is 2 second 6 third 7

Question:

In three days Tina sold 15 boxes. On the second day, she sold 1 more than on the first. On the third day, she sold 5 more than on the first. How many boxes did she sell on the third day?

Answer:

8. Tina sold eight boxes on the third day.

Step-by-step explanation:

Three days, 15 boxes.

On the first day, Tina sold 3 boxes.

On the second, she sold one more than on the first. (4)

On the third day, she sold five more than on the first. (8)

 3 + 4 = 7

7 + 8 = 15

So your answer would be:

Tina sold eight boxes on the third day.

Answer: A binomial has a specified number of trials just before an experiment begins, and X counts the number of achievements acquired within that limited number. While a geometric, on the other hand, has a fixed number of successes and counts the number of attempts necessary to reach the first success. 

Step-by-step explanation:

This is only for the first question i don't know the second one sorry

The required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.

GIven that,
To determine how do binomial and geometric models differ and situations would a geometric model be better than a binomial model.

In mathematics, it deals with numbers of operations according to the statements.

Binomial distribution describes the number of successes k achieved in n trials and Given a finite number of trials, the geometric distribution is useful for calculating the chance of success.

Before an experiment starts, a binomial has a set number of trials, and X counts the number of successes attained within that fixed number. A geometric, on the contrary, count the number of efforts required to attain the first success and has a set number of successes.

The experiment can have an infinite number of attempts before success, unlike the binomial distribution which has a fixed number of trials, hence the geometric distribution is useful to describe the number of failures before the first success in such a sequence of trials.

Thus, the required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.

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Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

Answer:

[tex]28ft {}^{2} [/tex]

Step-by-step explanation:

Answer:

28 Square Feet

Step-by-step explanation: