Consider the following sequence. -1,2,10,23,41... complete the table table below for the sequence.
N | F(x)
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Part b: write a recursive formula for this function.

Part c: what kind of function does this sequence appear to represent? Justify your answer.

Answer:

-14

Step-by-step explanation:

Put -1 where x is in the definition of g(x) and do the arithmetic.

2g(-1) = 2(2·(-1) -5) = 2(-2-5) = 2(-7) = -14

Answer:

  area of triangle: 1.2975

  area of circle: π ≈ 3.1416

Step-by-step explanation:

The side length (B) is used to compute the perimeter of the triangle. For the 3-sided triangle, the perimeter is ...

  P = 3B = 3·1.73 = 5.19

The "height" (H) measured from the center of the circle to the middle of one side is called the "apothem" (a). The area of the triangle (A) is the product of half that and the perimeter:

  A = (1/2)aP = (1/2)·0.5·5.19 = 1.2975 . . . . . . square units

Answer:65

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the roots are:

[tex]\left \{ {{x_1+x_2=6} \atop {x_1*x_2=5}} \right.  \ => \ \left \{ {{x_1=1} \atop {x_2=5}} \right.[/tex]

Answer:

vertically stretched by a factor of 5

Step-by-step explanation:

Multiplying the function value by 5 makes each vertical coordinate 5 times the value it was, so it is 5 times as far away from the x-axis. This has the appearance of stretching the graph vertically by a factor of 5.

_____

Comment on the answer choices

The stretch factor is a "pure number", a ratio of new units to old units. It is "5", not "5 units."

For example, if f(x) is 1 ft (1 unit, where the unit is a foot), then g(x) = 5 ft, the value of f(x) multiplied by 5. It is not 5 ft^2, as you would get if f(x) were multiplied by 5 units, or 5 ft.

Answer: B) 3(9+4)

Step-by-step explanation:

B is the correct answer because of the PEMDAS rule telling in what order to solve an expression with more than one operation. (parenthesis, exponents, multiplication, division, addition, subtraction). Therefore, with parentheses coming before multiplication in the PEMDAS rule it would be adding 9+4 and then mulriplying it by three.

Answer:

The total volume of the snowman is [tex]6\pi\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

step 1

Find the volume of the spherical snowball with a diameter of 3 feet

Find the radius

[tex]r=3/2=1.5\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (1.5)^{3}[/tex]

[tex]V1=\frac{9}{2}\pi\ ft^{3}[/tex]

step 2

Find the volume of the spherical snowball with a diameter of 2 feet

Find the radius

[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (1)^{3}[/tex]

[tex]V2=\frac{4}{3}\pi\ ft^{3}[/tex]

step 3

Find the volume of the spherical snowball with a diameter of 1 feet

Find the radius

[tex]r=1/2=0.5\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (0.5)^{3}[/tex]

[tex]V3=\frac{1}{6}\pi\ ft^{3}[/tex]

step 4

Find the total volume

[tex]V=V1+V2+V3[/tex]

substitute the values

[tex]V=\frac{9}{2}\pi+\frac{4}{3}\pi+\frac{1}{6}\pi=\frac{27+8+1}{6}\pi=6\pi\ ft^{3}[/tex]

Answer:

1

Step-by-step explanation:

find f(2)

    f(2) = 3(2) - 4 = 6 - 4 = 2

Now find h(2)

    h(2) = 8 - 3(2) = 8 - 6 = 2

Now find f(2)/h(2)

  2/2 = 1

Because there is a maximum rotation of 360°, so if you rotate x° clockwise it's the same as if you rotate (360-x)° counterclockwise.

Answer:

  x ∈ {-1, 2, 5}

Step-by-step explanation:

The x-intercepts of the graph of the cubic are -1, 2, and 5. These are the values of x that are solutions to the equation.

Answer:

answer is D. -1, 2 , 5

Step-by-step explanation:

Final answer:

The minimum number of books that must contain colored illustrations is 8100.

Explanation:

To find the minimum number of books that must contain colored illustrations, we can use the concept of conditional probability.

The probability of a book having illustrations is 90%, and the probability of an illustration being in color is also 90%. These two probabilities are independent events.

To find the minimum number of books with colored illustrations, we can multiply the probabilities together.

Therefore, the minimum number of books that must contain colored illustrations is 90% x 90% x 10000 = 8100.

Answer:

your choice is correct: hyperbola

Step-by-step explanation:

When the plane intersects both naps of the cone, the result is a hyperbola. When only a single nap is intersected (and the plane is parallel to the edge of the cone), the curve is a parabola. An ellipse or circle results when the plane crosses both edges of the cone on the same nap.

Answer:

ellipse

Step-by-step explanation:

The polynomial remainder theorem gives an immediate answer. It says that the remainder upon dividing [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case [tex]q=x+1\implies c=-1[/tex], and we have

[tex]k=p(-1)=(-1)^{999}-(-1)^{100}+3(-1)^9-5=-1-1-3-5=-10[/tex]

Answer:

x > 2

Step-by-step explanation:

The inequality has constants and variables on both sides. It is convenient to find the variable term with the smallest (most negative) coefficient. Add the opposite of that term to both sides of the inequality.

2x -3 +5x > 11 -5x +5x . . . . added 5x

7x -3 > 11 . . . . . . . . . . . . . . . simplify

Now, find the constant on the side of the inequality that has the variable term. Add the opposite of that constant to both sides.

7x -3 +3 > 11 +3 . . . . . added 3

7x > 14 . . . . . . . . . . . . simplify

Finally, divide by the coefficient of x. It is positive, so we do not need to do anything to the relation symbol.

x > 14/7 . . . . . . . . . . divided by 7

x > 2 . . . . . . . . . . . . simplify . . . . This is your solution.

Final answer:

To determine the function's behavior over an interval, compare the y-values as the x-values increase. It could be increasing, decreasing, constant, or changing direction. Choose the description that matches the graph's movement over the given interval.

Explanation:

To determine how the function behaves over the interval [2, 6], we must look at the description of the graph presented. If during the interval the function is always moving upwards as the x-values increase, then it is increasing. If it moves downwards, it is decreasing. If the graph stays at the same level without moving up or down, then it would be constant. If the graph changes its direction, from either increasing to decreasing or vice versa, then it would be described as decreasing to increasing or increasing to decreasing, accordingly. Given these possibilities, the student should match the behavior of the graph with one of these descriptions.

Answer:

Find the area of a cardboard box with a length of 9 inches and a width of 4 inches.

Step-by-step explanation:

9 in × 4 in = 36 in²

The length of one side of the stage is 17 feet.

To find the length of one side of a square, we take the square root of the area because the area of a square is equal to side length squared.

So, the calculation is as follows:

Area of square = side imes side

289 square feet = side imes side

Therefore, side =√289

Calculating the square root of 289 gives us the side length:

side = 17 feet

So, to determine the length of one side of a square stage with an area of 289 square feet, we calculate the square root of the area, which results in 17 feet.

-6.625 or -6.63 rounded up

Answer:

g(x)

Step-by-step explanation:

y-intercept is the y cutting point, at x = 0.

1. f(x)

This will be an exponential function that starts from 6 and moves upward exponentially. So y-intercept is 6.

2. g(x)

We can see that at x = 0, the value of the function is 2, so that is the y cutting point. So y-intercept is 2.

3. h(x)

We can clearly see from the graph that the y-cutting point is at 4. So y-intercept is 4.

4. j(x)

We can plug in x = 0 into the equation to find y intercept.

[tex]j(x)=10(2)^x\\=10(2)^0\\=10(1)\\=10[/tex]

So y - intercept is 10.

Smallest y-intercept is that of g(x).

The diagonals of kite KITE intersect at point P. This would be at 44 degrees then.

Answer: 44 degrees

..._..._..._..._..._..._

appreciate

Answer:

The statement is True

Step-by-step explanation:

Rhombus is a quadrilateral with the following characteristics;

Answer:

Step-by-step explanation:

1. 4x−x=2x+x

Simplifies to 3x = 3x, which is true for all values of x. Hence there are infinitely many solutions.

___

2. 2x+1=5

True only for x=2; one solution.

___

3. 4x+2=5x−x+4

Simplifies to ...

  4x +2 = 4x +4

  2 = 4 . . . . . . . not true for any value of x; no solution.

___

4. 2(x+4)=4(x+2)

Simplifies to ...

  2x +8 = 4x +8

  0= 2x . . . . . . . . . subtract 2x+8

True only for x=0; one solution.

Answer:

volume of the given shape  = 896 cubic centimeters.

Step-by-step explanation:

Given a composite figure is made up of a rectangular prism and a square pyramid.

Now we need to find the volume of that composite shape.

So we can find volume of each part then add both to get total volume.

Volume of rectangular prism = (length)(width)(height) = (8)(8)(13)= 832 cubic centimeter

Base area of square pyramid = (length)(width)=(8)(8)=64

Volume of square pyramid. [tex]=\frac{1}{3}\left(Base\ area\right)\left(Height\right)[/tex]

[tex]=\frac{1}{3}\left(64\right)\left(3\right)[/tex]

[tex]=64[/tex]

Then total volume of the given shape = 832+64 = 896 cubic centimeters.

Answer:

a0 - square

a1 - pyramid

Step-by-step explanation:

Answer:

  37.5 °C

Step-by-step explanation:

The temperature appears to be increasing linearly at the rate of 5 °C in 2 minutes, or 2.5 °C per minute.

1 minute after 4 minutes, when the temperature is 35 °C, we expect it to be 2.5 °C higher, or 37.5 °C.

Answer:

your choice is correct

Step-by-step explanation:

f(x) = x^2 does not pass the horizontal line test (a horizontal line intersects its graph in two places), so its inverse does not pass the vertical line test. The inverse is not a function.

_____

Comment on the graph

The original function f(x)=x^2 is shown by the red curve. Its reflection across the orange dashed line y=x gives the inverse relation, in blue. The black horizontal and vertical lines show the multiple points of intersection with the curves, indicating the inverse relation is not a function.

Answer:

A) f(x)=x^2

Step-by-step explanation:

did it on i-ready

Answer:6√2  8-9 Irrational number

Answer:

64 and 81, 8 and 9, irrational

Answer:

x = 36

Step-by-step explanation:

Multiply both sides of the equation by the inverse of the coefficient of x.

(2/1)·(1/2)x = (2/1)·18 . . . . . . . coefficient of x is 1/2, so we multiply by 2/1

x = 36

_____

This "multiplicative inverse" is also called the reciprocal. It has the property that when multiplied by the coefficient of x, the result is 1, the multiplicative identity element. So, your equation becomes ...

1·x = 36

The property of the multiplicative identity element is that anything multiplied by it is that thing. So, 1x = x, and your equation becomes

x = 36

This is the solution you're looking for.

The answer is 36 !!!!!

Answer:

$2774.47

Step-by-step explanation:

To find how much Antuan's ending balance will be, we can use the formula for compound interest.

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

The values that we currently have are:

P = 2590

t = 3

n = 4 quarterly

r = 2.3% or 0.023

Now we can plug these values into our formula.

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]A=2590(1+\dfrac{0.023}{4})^{4(3)}[/tex]

[tex]A=2590(1+0.00575)^{12}[/tex]

[tex]A=2590(1.00575)^{12}[/tex]

[tex]A=2774.47[/tex]

So Antuan's ending balance will be $2774.47.

Answer:

A, B, E

Step-by-step explanation:

Permutations are involved when order matters, as in lane assignment, passwords, and seating charts.

When the end result is a "group of 10 students", "3 employees", or "4 cashiers", clearly order does not matter. One student, employee, or cashier is as good as another in these cases.

Using it's definition, it is found that these following situations involve permutations:

A) Determining how many different ways 7 runners can be assigned lanes on a track for a race.

B) Determining how many 5-letter passwords can be made using the word "graph."

E) Determining how many different seating charts can be made placing 6 people around a table.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem:

You can learn more about permutations at brainly.com/question/25247153

Answer:

2

Step-by-step explanation:

x²+8x+y²-6y= -21;

(x+4)²+(y-3)²-25= -21;

(x+4)²+(y-3)²=2²;

it means r²=2²; ⇒ r=2.