which is the graph of f(x)=2(3)^x?

Final answer:

The true statement about the greatest integer function is that it is a piecewise function. The common difference of the given sequence is 3.

Explanation:

Let's break down each part of the question to provide a clear and accurate response.

Part 1: Greatest Integer Function

The statement that is true about the greatest integer function is B. The greatest integer function is classified as a piecewise function. The greatest integer function, denoted as [x], returns the greatest integer less than or equal to x. This function is indeed piecewise because it is defined in multiple pieces - for each interval of real numbers between integers, it takes a constant value equal to the lower endpoint of that interval.

Part 2: Common Difference of Sequences

To find the common difference of the sequence – 5, – 2, 1, 4, 7,  …, you subtract any term from the term that follows it. For instance, – 2 - (– 5) = 3. Therefore, the common difference is 3.

Answer:50

Step-by-step explanation:each of the 10 sets have 5 coins basically (10*5) = 50

50

10sets*5coins=50total coins

Answer:

[tex]275\ mi[/tex]

Step-by-step explanation:

we know that

The distance on the map from Town A and Town C is equal to

3.5 cm+2 cm=5.5 cm

The scale map is equal to

[tex]\frac{2}{100}\frac{cm}{mi}[/tex]

Simplify

[tex]\frac{1}{50}\frac{cm}{mi}[/tex]

That means-----> 1 cm on a map is 50 mi on the actual

so

by proportion

[tex]\frac{1}{50}\frac{cm}{mi} =\frac{5.5}{x}\\ \\x=50*5.5\\ \\x=275\ mi[/tex]

x = 3 is a solution for the equation x - 2 = 1. The solution for 7.5 - x = 2.8 is x = 4.7. Both solutions were verified by substituting back into the original equations.

Let's first determine for which equations x = 3 is a solution:

x + 7 = 4

Substitute x = 3: 3 + 7 = 10, which is not equal to 4. Hence, x = 3 is not a solution to this equation.

x - 2 = 1

Substitute x = 3: 3 - 2 = 1, which is correct. Therefore, x = 3 is a solution to this equation.

5 + x = 9

Substitute x = 3: 5 + 3 = 8, which is not equal to 9. Thus, x = 3 is not a solution to this equation.

8 - x = 11

Substitute x = 3: 8 - 3 = 5, which is not equal to 11. Therefore, x = 3 is not a solution to this equation.

The correct option is- b

Now, we solve the equation 7.5 - x = 2.8:

1. Start by isolating x:

7.5 - x = 2.8

2. Subtract 7.5 from both sides of the equation:

-x = 2.8 - 7.5

-x = -4.7

3. Multiply both sides by -1 to solve for x:

x = 4.7

The correct option is- a

Hence, the solution to the equation is x = 4.7.

Therefore x = 3 is a solution for the equation x - 2 = 1. The solution for 7.5 - x = 2.8 is x = 4.7.

Answer:

x = 30 degrees

Answer:

ONE

Step-by-step explanation:

ONE real number solution.  The graph intersects the x-axis in only one place.

Answer:

y=5x-10

Step-by-step explanation:

slope intercept form is y=mx+b

since we know it is parallel to y=5x-1, we know that it has the same slope of 5.

So, we plug it in:

y=mx+b

y=5

x=3

(taken from point (3,5))

m=5

(taken from parallel line)

5=(5)(3)+b

5=15+b

b=-10

The equation would be y=5x-10

The answer is A. True

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-18&-33\\-42&-27\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]n\cdot\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =\left[\begin{array}{ccc}(n)(a)&(n)(b)\\(n)(c)&(n)(d)\end{array}\right]\\\\============================\\\\3\cdot\left[\begin{array}{ccc}-6&-11\\-14&-9\end{array}\right] =\left[\begin{array}{ccc}(3)(-6)&(3)(-11)\\(3)(-14)&(3)(-9)\end{array}\right] \\\\=\left[\begin{array}{ccc}-18&-33\\-42&-27\end{array}\right][/tex]

Answer:

the answer is B !

Step-by-step explanation:

Answer:

247 people per square mile

Step-by-step explanation:

Population density is people per area

We need to find the area

We are given the radius

We will assume a circular area since we are given radius

A = pi r^2

A = 3.14 * 5^2

A = 3.14 *25

A = 78.5 miles ^2

19400 people

---------------------

78.5 miles ^2

247.133758 people per square mile

Rounding to the nearest person

247 people per square mile

I think it’s B) multiplicative

Answer:

The price been reduced by a percentage of 40%

Step-by-step explanation:

we know that

$39.95 -----> represent the 100%

so

The difference of prices is equal to ($39.95-$23.97)=$15.98

Using proportion

Find the percentage of the difference

100/39.95=x/15.98

x=100*15.98/39.95

x=40%

Answer:

40% is the percentage decreased.

Hope it helped!

Thanks.

Answer:

No.

Step-by-step explanation:

If they are proportional, they equal each other.

We can use a proportion.

200/40 = 242/44

Simplify.

5 = 5.5

So they are not proportional.

If you’re wondering the minutes in between it would be 50 minutes from 11:50am to 12:40pm

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• [tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁[tex]r^{3}[/tex] = 24 → (1)

Given a₈ = [tex]\frac{8}{27}[/tex], then

a₁[tex]r^{7}[/tex] = [tex]\frac{8}{27}[/tex] → (2)

Divide (2) by (1)

[tex]r^{4}[/tex] = [tex]\frac{\frac{8}{27} }{24}[/tex] = [tex]\frac{1}{81}[/tex]

Hence r = [tex]\sqrt[4]{\frac{1}{81} }[/tex] = [tex]\frac{1}{3}[/tex]

Substitute this value into (1)

a₁ × ([tex]\frac{1}{3}[/tex] )³ = 24

a₁ × [tex]\frac{1}{27}[/tex] = 24, hence

a₁ = 24 × 27 = 648

Answer:

The left side is not equal to the right side, which means that the given statement is false.

False

Step-by-step explanation:

Answer: g= 3x/c

Not sure if this helps

Answer:

[tex]P (2) =\frac{1}{7}[/tex]  Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

[tex]P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}[/tex]

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

[tex]P (2) =\frac{1}{7}[/tex]

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

[tex]P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}[/tex]

To calculate a theoretical probability you always need to perform an experiment with n trials.

I also think its A cause you find the next term when your multiply the constant (common ratio) so it makes sense for it to be A

Answer:

Step-by-step explanation:

[tex]\text{A geometric sequence:}\\\\a_1,\ a_2,\ a_3,\ a_4,\ ....\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant\\\\r-\text{common ratio}\\\\a_2=a_1r\\a_3=a_2r\\a_4=a_3r\\\vdots\\a_n=a_{n-1}r\\\\\text{next term is created from the previous one by multiplying it}\\\text{by the same number}[/tex]

Answer:

We have

sale price + 6% x sale price = $121.37;

Then

(106/100) x sale price = $121.37;

sale price = $121.37 x 100 / 106;

sale price = $12137 / 106;

sale price = $114.50;

Step-by-step explanation:

To find the sale price of a dress before a 6% tax added up to a total of $121.37, divide the total by 1.06. The original sale price was $114.50.

The student is asking how to calculate the sale price of a dress before tax when the total cost, including a 6% tax, was $121.37. To find the sale price before taxes, you need to divide the total cost by 1 plus the tax rate expressed as a decimal.

First, convert the percentage to a decimal, which gives us 0.06 for a 6% tax. Then, add 1 to the tax rate (1 + 0.06 = 1.06) and divide the total cost by this sum to get the original price:

Sale price = Total cost / (1 + Tax rate)
Sale price = $121.37 / 1.06
Sale price = $114.50 (rounded to the nearest penny)

Therefore, the original sale price of the dress was $114.50.

Answer: I believe the answer would be 64w2.

Step-by-step explanation: 8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.

Hi There!

--------------------------------------

Answer:

64w²

Step-by-step explanation:

= (8w)²

= 8w × 8w

= 64w²

--------------------------------------

Hope This Helps :)

Check the picture below.

make sure your calculator is in Degree mode.

Answer:Cos M = 40/76Cos M = 10/19M = 58

degrees

Step-by-step explanation:

Answer:

Final factor is (x-9)(x+4)

Step-by-step explanation:

Given expression is [tex]x^2- 5x- 36[/tex].

Now we need to factor that expression

[tex]x^2- 5x- 36[/tex]

Find two numbers whose product is -36 and sum is -5.

Two such numbers oare -9 and +4. So we get:

[tex]=x^2- 9x+4x- 36[/tex]

[tex]=x(x-9)+4(x-9)[/tex]

[tex]=(x-9)(x+4)[/tex]

Hence final factor is (x-9)(x+4)

Answer:

(x-9) (x+4)

Step-by-step explanation:

x^2- 5x- 36

What two numbers multiply to -36 and add to -5

-9*4 = -36

-9+4 = -5

(x-9) (x+4)

Answer:

A

Step-by-step explanation:

The base of the larger triangle is twice as large as the smaller one: 6 v 3 --> 6 : 3 --> 2 : 1.

Answer:

The resulting function after the sequence of transformations is  [tex]f(x)=3(x+2)^5+1[/tex]

Step-by-step explanation:

Given a function f(x)

Remembering these points, we can apply the rules to [tex]x^5[/tex].

Hence the new function would be  [tex]3(x+2)^5+1[/tex]

Answer:

f(x) = 3(x+2)⁵+1

Step-by-step explanation:

Ap3x

Answer:

6.7 years (approx)

Step-by-step explanation:

Final answer:

The distance between – 14 and – 5 on a number line is 9 units, calculated by finding the absolute value of the difference between the two numbers.

Explanation:

The distance between two points on a number line is the absolute value of the difference between those two numbers. To find the distance between – 14 and – 5, subtract the smaller number (– 14) from the larger number (– 5) and then take the absolute value:

Distance = |(– 5) – (– 14)|

Distance = |9|

Distance = 9

Therefore, the distance on the number line between – 14 and – 5 is 9 units.

Answer:

P - 4

Step-by-step explanation:

there are 12 collectors donating a total of 48 paintings.

48/12=4

each collector will donate 4 paintings.

Sergio has (p) paintings now, so after he donates 4 paintings, he will have p-4 paintings in his art collection.

Sergio will have p-4 paintings in his art collection after his donation

Answer:

X= -7    

I LOVE LOVE LOVE LOVE EQUATIONS.

Step-by-step explanation:

ALRIGHT!

1. 6*(-x)= -6x

2. 6*(-3)= -18

3. Now right in normal 24= -6x-18

4. Now keep the variables on one side and the numbers on the other and simplify it. And when keeping the variables on one side and the numbers on the other what ever you switch you must change it's expression. So if it's + you make it -  and if it - you make it +. so 6x=-18-24= 6x=-42

5. Now simplify it. as a fraction. 6x = -42 = divide 6 on both sides now X= -7                                                      6       6

Answer:

B - Between 1 mle and 1.5 miles

Step-by-step explanation:

One lap around the track is .25 of a mile

Multipy times 5 and you get 1.25 miles

Answer:

b

Step-by-step explanation:

because thatch between anything

the answer would be D

Answer with Step-by-step explanation:

Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers.

Each smoothie costs $3.75, then cost of x smoothies is: $3.75x

Then, y=3.75x+15

When x=0 y=15

when x=4 y=3.75×4+15

             i.e.   y=30

The only graph which satisfies y=0 at x=0 and y=30 at x=4 is D.

Hence, the correct graph is:

D.