find the explicit formula for the following sequence.
15, 29, 49, 75, 107,....

Answer:

Step-by-step explanation:

I used a site it won't let me mention... for this graph

This is if "vertical compression by a factor of 1/3, vertical shift up 5 units" translates to...

[tex]f(x)=\frac{1}{3} (x^2+5)[/tex]

The equation that has vertical compression by a factor of 1/3, vertical shift up 5 units will be y = (1/3)x² + 5.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertical compression by a factor of 1/3, vertical shift up 5 units.

a = 3

(h, k) = (0, 5)

Then the equation will be

y = 1/3(x – 0)² + 5

y = (1/3)x² + 5

More about the parabola link is given below.

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Answer:

12.8

Step-by-step explanation:

8÷5/8 is also the same as:

8 x 1/5 x 8

Proof:

[tex] \sqrt{5} \times \sqrt[3]{5} [/tex]

[tex] {5}^{ \frac{1}{2} } \times {5}^{ \frac{1}{3} } [/tex]

[tex] {5}^{ \frac{1}{2} + \frac{1}{3} } [/tex]

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

[tex] {5}^{ \frac{5}{6} } [/tex]

[tex] \sqrt[6]{ {5}^{5} } [/tex]

Answer:

1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down

Answer:

8

Step-by-step explanation:

follow the graph

Answer:

D. 8

Step-by-step explanation:

Look for 4 the x axis and go up until you see the dot. Whatever is on the y-axis is your answer(8)

Answer:

$72 is your answer

Step-by-step explanation:

hope this helps ♡

Answer:

Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.

Step-by-step explanation:

Hope this helps

9514 1404 393

Answer:

  y = 2x -6

Step-by-step explanation:

One form you can use for this purpose is ...

  (x2 -x1)(y -y1) = (y2 -y1)(x -x1)

Filling in the given point values, this is ...

  (0 -4)(y -2) = (-6 -2)(x -4)

  -4y +8 = -8x +32

Generally, we like the equation to have coefficients with no common factors. All of these coefficients can be divided by -4.

  y -2 = 2x -8

This can be rearranged to any form you may like--or left as is.

  y = 2x -6 . . . . . slope-intercept form

Answer:  angle 1 = 110 degrees

This is because angle 1 and the red 110 degree angle are corresponding angles.

They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)

Corresponding angles are congruent only when we have parallel lines like this.

Answer:

B

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

Because you need to use the Greater than or less than shortcut

Answer:

58.25

Step-by-step explanation:

C is the total cost of the meal, fifty-eight dollars and twenty-five cents.

First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.

To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.

Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.

Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.

Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.

Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.

Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.

Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.

And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.

Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.

Answer: 56.25

Step-by-step explanation:

Answer:

4 x 10⁸

Step-by-step explanation:

Well 4 x 10⁸ is 400, 000, 000 which is the closest to 395, 280, 204. For future reference, the number of powers the 10 is raised to is the number of zeros it will have.

Answer:

5x

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

Hope it right

Answer:

3/5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

f(x) = 3x

f(4) = 3(4) = 12

just need to sub in the x value :)

Topic: Functions

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

12

Step-by-step explanation:

3x x=4

4x3=12

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Answer:

Answer of this is... D... 59

According to the figure the value of ∠BOC is 59. So, the correct option is option D.

Given:

∠AOC = 77°

According to the figure ∠AOB = 3X and ∠BOC = 7X + 17

∠AOC = ∠AOB + ∠BOC.

Plugging the values in this equation.

Then we get,

77 = 3X + 7X + 17

Subtract 17 on both sides.

77 - 17 =  3X + 7X + 17 - 17

60 = 3X + 7X

After simplify we get,

60 = 10x.

X = 6

To find the ∠BOC.

∠BOC = 7X + 17.

Plugging the value of X in this equation.

∠BOC = 7 * 6 + 17

∠BOC = 42 + 17

∠BOC  = 59.

Therefore, the value of ∠BOC is 59.

Learn more about Angle here:

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Answer:

$159.84

What we know - 4 bags cost $39.96

What we need to know - How much 16 bags cost

Step-by-step explanation:

We can solve this by simply knowing how many times 4 goes into 16. We can do this by writing the equation 16 ÷ 4 = 4. We now know that 4 goes into 16 4 times. By doing this we can now multiply $39.96 by 4 to get the cost of 16 bags which is $159.84.

Hope this Helps!!! :) Please comment below with some feedback!

Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.

Step-by-step explanation:

Equation of direct proportion between two quantities x and y :

[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Put [tex]x_1=4,\ y_1=7,\ y_2=35, x_2=x[/tex]

[tex]\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20[/tex]

Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.

Answer:If they have the same length or if their parallel but that’s not always the case.

Step-by-step explanation:

Answer:

If the two lines have the same length and width.

Step-by-step explanation:

Correct me if I am wrong but I am pretty confident that it is the answer by going from logic.

Answer:

1. A is function.

2. A, is function

3. B is function.

Step-by-step explanation:

Hope it helps.

Answer:

1) B

2) A

3) B

Step-by-step explanation:

In a function... no value can be repeated in the domain

This is especially easy to discern in graphs because of the Horizontal Line Test

Answer:

11

Step-by-step explanation:

Answer:

11 sandwich pieces

Step-by-step explanation:

We know that 100paise=1 rupee

=>500 paise = 5 rs

ratio =5/20=1/4=1:4

hope it helps :)

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