The function f(x)f(x) is graphed below. What is true about the graph on the interval from x=-\inftyx=−∞ to x=ax=a?

Answer:

6 weeks

Step-by-step explanation:

We need to find the common multiple of 3 and 2. The multiple of 2 and 3 is 6.

So on the 6th week.

I hope I could help!

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The clubs meet on the 6th week.

The number of weeks before the clubs meet again on the same week is 5.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The chess club meets every two weeks and the student council meets every three weeks.

This means,

The least common multiple of 2 and 3 is 6.

The club meets on the 6th week.

Thus,

The clubs meet on the 6th week.

The number of weeks before the clubs meet again on the same week is 5.

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To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Answer: Supplementary Angles

Step-by-step explanation:

∠5 and ∠6 are supplementary angles. If you look at their position, they are right next to each other. Both angles added together makes a straight line, which is 180°. Any 2 angles that make 180° are called supplementary angles.

The first six terms of the Taylor series solution, centered at 0, of the given initial-value problem is y(x) = 1 + x + 1/2x² + 1/2x³ + 1/6x⁴ + 1/10x⁵+...

A function's Taylor series is an infinite sum of terms with each subsequent term having a bigger exponent, such as x, x2, x3, etc., and being stated in terms of the function's derivatives at any given point. In order to represent the Taylor series mathematically, the Taylor series formula is useful.

Using the derivatives of the function, the Taylor series formula aids in expanding a function around a value of the variable. s and be as ly,,,, texturs in a l

x a = f(x) = f(a) + f'(a)

y" = x + y²

y"' = 1 + 2yy'

y"" = 2(yy" + (y')²)

y""' = 2(yy"' + y'y" + 2y'y")

= 6y'y" + 2yy"

Now, y(0) = 1 and y'(0) = 1

y"(0) = 0 + y(0)² = 1

y"'(0) = 1 + 2y(0)y'(0) = 3

y"" = 2(y(0)y"(0) + (y'(0))²) = 4

y""' = 2(y(0)y"'(0) + y'(0)y"(0) + 2y'(0)y"(0)) = 12

Substitute these values in above equation :

so, first six terms of the Taylor's series

y(x) = 1 + x + 1/2x² + 1/6(3x³) + 1/4(24x⁴) + 1/120(12x⁵)+....

y(x) = 1 + x + 1/2x² + 1/2x³ + 1/6x⁴ + 1/10x⁵+.....

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Answer:

16

Step-by-step explanation:

I dont really inderstand but i would say 16 because it is closer to adding up to 43 so yea

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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Answer:

The answer is D.

Step-by-step explanation:

From the given box and whisker plot, On average, visitors in January were 10 years older than visitors in July.

A box and whisker plot is a graph plot that indicates whether a distribution is skewed and whether there are potential unusual observations (outliers) in the data set.

Now, the way to interpret it is as follows;

Now, looking at the box and whisker plot for January and July, we can say that those in January are approximately 10 years older than those in July.

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The equation that relates h and m is h = 55 + m.

The height of the plant after 12 month is 67 cm.

A plant is already 55 centimetres tall, and it will grow one centimetre every month.

let

The equation relating h and m can be represented as follows:

h = 55 + m

Let's use the equation to find the  plant's height after 12 months.

Therefore,

h = 55 + 12

h = 67 centimetres

Therefore,

height of the plant after 12 months = 67 centimetres

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Answer:

Step-by-step explanation:

the first would be   _3  ,0

                                  5

and the second would be 0,3

Answer:

378

Step-by-step explanation:

Start with prime factoriazation

18 = 2 * 3 * 3

54 = 2 * 3 * 3* 3

63  = 3 * 3 * 7

2 * 3 * 3 * 3 * 7 = 378  

Answer:

1/6

Step-by-step explanation:

if there is 1/3 bag of candy, 1/3 of 1/3 is 1/9

Since the coordinates of the translated triangle are (3,5), (5, 6), and (2, 9), the translation vector is (x, y)   → (x + 2, y + 1).

In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of this triangle vertically upward by 1 unit and horizontally right by 2 units, the coordinates of the image include the following:

(x, y)                               →                  (x + 2, y + 1)

(1, 4)                        →                  (1 + 2, 4 + 1) = (3, 5).

(3, 5)                        →                  (3 + 2, 5 + 1) = (5, 6).

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

y=1.5

x=-3.5

Our answer is (-3.5,1.5)

Step-by-step explanation:

y-5=x

x=-2-y

y=?

--------

Using substitution,

y-5=-2-y

Solve:

2y-5=-2

2y=3

y=1.5

We can enter 1.5 into the equation:

1.5-5=x

-3.5=x

Answer:

$4.00

Step-by-step explanation:

There is, in total, 4 people attending the movies. [Zack and his 3 friends]

If each ticket costs $8.00, we can use 4 x $8.00 to find out how much the tickets costs.

4 x $8.00 = $32.00

If his mom paid $48 dollars in total, to get the amount of money they spent on snacks, we can use $48 - $32.

$48 - 32 = $16

We can now divide $16.00 by 4, as everyone [Zack and his 3 friends] got the same snack from the concession stand, and that leaves us with the equation: $16/4 [also known as 16 divided by 4]

$16/4 = $4.00

Each snack set cost $4.00

Answer:

25%

Step-by-step explanation:

$60 times ? = $45

$60 - $45 = $15

$15 were reduced and 15/60 = 25%

Answer: 25%

Step-by-step explanation:

25

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

1020 raisins

Step-by-step explanation:

Let's set up a proportion using the following setup:

raisins/bags= raisins/ bags

We know there are 680 raisins in 8 bags.

680 raisins/8 bags= raisins/bags

We don't know how many raisins are in 12 bags, so we can say x raisins are in 12 bags.

680 raisins/ 8 bags= x raisins / 12 bags

680/8=x/12

We want to find x. To do this, we must get x by itself.

x is being diveded by 12. The inverse of division is multiplication. Multiply both sides of the equation by 12.

12*(680/8)= (x/12)*12

12*680/8=x

12*85=x

1020=x

x= 1020 raisins

There are 1020 raisins in 12 bags.

The IQR is the best measure of variability, and it equals 45.

Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.

The range is the best measure of variability for the data shown, and its value is 45.

The range is defined as the difference between the largest and smallest values in a set of data.

In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.

The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.

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Answer:

17

Step-by-step explanation:

divide by 3 on both sides

51/3 = 3/3k

17 = k

your answer is 17

Answer:

51/3=17

k = 17

Step-by-step explanation:

Answer:

f(6)=-42

f(0)=0

f(-1)=7

Step-by-step explanation:

since f(x) =-7x

it implies that f(6),f(0) and f(-1) are all equal to f(x)

which is equal to -7x .

so wherever you find x you out it in the

function

Answer:

A

E

F

Step-by-step explanation: there the even ones

Answer:

-3x+16

Step-by-step explanation:

(6x+7)-(9x-9)

Collect like terms

6x-9x = -3x

7+9= 16

answer is -3x+16

Answer:

15x + 16

Explanation:

Basically whatever you are solving for in this question, the answer will be the exact same

3+x/-2 =10

x/-2 = 10-3

x/-2 = 7

x = 7*-2

x = -14

Answer:

x= -14

Step-by-step explanation:

Answer:

21.161

Step-by-step explanation:

use Pythagoras theorem ti find your slant height

then you use your formula which

\(1 \3\pi {r }^{2} h\)