1/2 - 1/5

I don’t know how to do these problems

Answer:

choice B

g(x) = –(x + 2)5 + 2(x + 2)4 + 1

The function g(x) can be represented in terms of f(x) like this:

g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

Hence, 4th option is the right choice.

The translation is the process of moving a graph horizontally or vertically. To put it another way, each point on the parent graph is translated to the left, right, up, or down, to get the translated graph.

We know that g(x) is a transformation of f(x) = -x⁵ + 2x⁴ + 1.

Since, g(x) is the transformation of f(x) we try to find the relation between the points on f(x) and g(x).

Let the point on f(x) be (x₁, y₁) and that on g(x) be (x₂, y₂).

f(x) passes through the points (-1, 3), (0,1), (1.5, 3.8), and (2, 0).

Corresponding points on g(x) are (-3, 3), (-2, 1), (-0.5, 3.8), and (0, 0).

We can see that the y-coordinate is the same for corresponding points. So, y₂ = y₁.

For the x-coordinate, we see that for every corresponding point on g(x), it is 2 less than the point on f(x). So, x₂ = x₁ - 2.

Now, in the function f(x), we have x = x₁. So to find the function g(x), we substitute the value of x₂ = x₁ - 2 = x - 2 in f(x) to get the equation of g(x).

∴ g(x) = f(x-2)

or, g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

∴ The function g(x) can be represented in terms of f(x) like this:

g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

Hence, 4th option is the right choice.

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Answer:

30sequences

Step-by-step explanation:

Using nx (n-1)

And

n is the number of ternary digits in the number.

So For 6 digits n is 6 so the number of numbers that have exactly one 1 AND exactly one 2 is 30.

That is 6(6-1)= 30

Greetings from Brasil...

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

Answer:

35°

Step-by-step explanation:

-5° + 40° = 35°

So the ansWer is 35°

Answer:

$1.30 for juice

Step-by-step explanation:

If madeline bought 2 bagels for $6 then one bagel must be $3. Madison spent $4.30 so $3 was the bagel and $1.30 was the juice.

Answer:

B. Vertical Compression

Step-by-step explanation:

You've answered the question; However, I'll assist with the explanation;

Given

Original: [tex]y = 72\sqrt x[/tex]

Translated: [tex]y = 9\sqrt x[/tex]

Required

Determine the type of transformation applied to the original function

Observing both functions, we notice that [tex]\sqrt x[/tex] is a common factor;

This implies that the function was compressed or stretched along the y axis (vertically)

To determine if its vertical compression or stretch;

We have to divide the translated function by the original function;

[tex]Ratio = \frac{9\sqrt x}{72\sqrt x}[/tex]

[tex]Ratio = \frac{9}{72}[/tex]

[tex]Ratio = 0.125[/tex]

Because 0.125 < 1, then the transformation is a vertical compression

Answer:

B

Step-by-step explanation:

Answer:

30 miles in 2 hours

Step-by-step explanation:

Answer:

A unit rate is a rate where the second quantity is one unit , such as $34 per pound, 25 miles per hour, 15 Indian Rupees per Brazilian Real, etc. Example 1: A motorcycle travels 230 miles on 4 gallons of gasoline. Find the average mileage per gallon.

Step-by-step explanation:

Answer:

a. -2

b. 3

c. 3

d. -3

e. x=-2

Step-by-step explanation:

When a question asks for f(x), it is basically just asking for what the y-value is at the given point of x. So for example, to solve the first one: f(-4), we see that the x-value is -4. This means it is asking for the y-value at x=-4. As we can see from the graph, where x = -4, the y-value is -2 (along the bottom flat line) therefore f(-4) = -2.

This is the same for the other three, f(0) = 3 because the line at x=0 is crossing at y=3. etc.

Finally e is difference because it is instead asking for the x-value when y=6. To solve this we just need to find a point on the graph where the line is at y=6. This, as we can see is at the top of the highest point and occurs where x=-2.

Hope this helped!

Answer:

A. 3

B. 3/4

C. 1/4

Step-by-step explanation:

1/4 of 12 is 3

3 plus 6 is 9 and 9 is 3/4 of 12

12 minus nine is also three leaving the tank still a 1/4 tank empty

The volume of the right rectangular prism having dimensions  1.5 cm, 0.5 cm and 2. 25 cm. will be V=1.6875 [tex]cm^3[/tex]

Volume is defined as the space covered by any object in the three dimensions having coordinates in all three sides is called as volume.

We know that the volume of the Rectangular prism is given as:

[tex]\rm V=L\times W\times D\\\\\\V=1.5\times 0.5\times 2.25\\\\\\V=1.6875\ \ \ cm^3[/tex]

Hence the volume of the right rectangular prism having dimensions  1.5 cm, 0.5 cm and 2. 25 cm. will be V=1.6875 [tex]cm^3[/tex]

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Answer:

c. 5056

Step-by-step explanation:

The revenue is maximized when the units sold are increased if the selling price is constant. The basket ID 5056 has more units then the other two baskets and its invoice total is greater than the other baskets. The basket 5056 has largest total revenue to the company.

Use exponent rule: x^-y = 1/x^y

6^-3

= 1/6^3

= 1/216

Best of Luck!

To find a decimal that is equavalent to 4/15, all we need to do is divide.

4 / 15 = 0.26666...

Best of Luck!

Answer:

one-sixth of 138

Step-by-step explanation:

36÷3=12. 138÷6=23

12<23

Therefore, one-sixth of 138 is greater than a third of 36.

Answer:

Step-by-step explanation:

B

The correct graph of the function is shown in option (B).

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

The given function is,

f(x) = y = x          (1)

To find the graph of f(x -3),

Substitute x = x- 3 in equation (1),

y =  x- 3

The slope of the graph is 1,

And the y intercept at x = 0,

y = -3

So the graph of the function y = x - 3 can be plotted as,

Hence option (B) is correct option.

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Answer:

Mean is all numbers added up divided by the amount of numbers in the set.

Median is the number that occurs the most in a set.

Step-by-step explanation:

Question 958954: One number is five less than a second number. Five times the first is eight more than two times the second. Find the numbers.

hope this helps!

Answer:

the correct answer is not there

Step-by-step explanation:

I'm not sure if "7, 8, 12, and 16" were answer choices but none of those are correct

Step-by-step explanation:

to find the value of p you'd need to divide 441 by 42 and the answer is 9.9

Answer:

8/7

Step-by-step explanation:

2481.7

         ^ is the tenth place.

The 5 would either round it up or down by one-tenth. Since we like big numbers... we'll round it to 7 from 6.

Answer:

2481.7

Step-by-step explanation:

Find the number in the tenth place

6

and look one place to the right for the rounding digit

5

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

Answer:

i think... a d and e?

Step-by-step explanation:

Answer:

-4u-18

Step-by-step explanation:

Answer: simply

Step-by-step explanation: Example: 15y= -5x+0 First move -5 to other side of equal sign. So 15y+5x=0 Then simply by dividing by 5. So 5y+x=0

Answer:

[tex]90x[/tex]

Step-by-step explanation:

[tex]30x+60x=?[/tex]

If you want to solve this easily, you can just remove x and add 30x + 60x.

[tex]30+60[/tex]

We know that 30 + 60 is 90. So we will add x to 90.

[tex]90x[/tex]

Now you have your answer!

Hope this helps!

Answer:

90x

Step-by-step explanation:

To solve, add 30+60.

30 + 60 is equal to 90.

Add x and it will be 90x.

That is your answer!

Hope I helped!

Answer:

[tex]y=2x-2[/tex] and image of (0,3) is (1,0).

Step-by-step explanation:

From the given graph it is clear that the line of Nolan Street passes through the points (0,-2) and (1,0).

So, the equation of Nolan Street is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{0-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=2x[/tex]

[tex]y=2x-2[/tex]

So, the equation of the Nolan Street is [tex]y=2x-2[/tex].

It is given that the cartographer translates points on line m along the vector <1, −3> to draw Nolan Street. So, the rule of translation is

[tex](x,y)\to (x+1,y-3)[/tex]

The image of (0, 3) in this situation.

[tex](0,3)\to (0+1,3-3)=(1,0)[/tex]

The image of (0,3) is (1,0).

Answer:

12 times.

Step-by-step explanation:

96÷8=12

Answer:

D. 720 miles

Step-by-step explanation:

First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.

A map of 720 miles represented by 6 inches.

It is given that 2.5 inches represent 300 miles.

It is required to find the miles represented by 6 inches.

First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.

In  2.5 inches, the map represents 300 miles.

In 1 inch, a map represents 300/2.5 miles which are equal to 120 miles.

So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

Thus in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

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Answer:

its an integer

Step-by-step explanation:

Because it has a negative sign