Hello I need help with the following question. 8. Use the given graph of the function f to find the domain and range(−6,6)8 The domain of f is(Type a compound inequality.)The range of f is(Type a compound inequality.)

Angela can arrange pictures in 6 different ways; (1 x 32), (2 x 16), (4 x 8), (8 x 4), (16 x 2), (32 x 1).

Given,

Angela have 32 pictures with her.

She wants to arrange it in an album with equal number of pictures in each row.

We have to find the possible arrangements.

Here,

32 pictures.

Lets see the possibilities.

That is,

Angela can arrange pictures in 6 different ways; (1 x 32), (2 x 16), (4 x 8), (8 x 4), (16 x 2), (32 x 1).

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ANSWER:

STEP-BY-STEP EXPLANATION:

We can determine the domain and range of the function, knowing that the domain is the interval of values in x and the range is the interval of values in y.

Therefore:

When a function is inverted, the domain and range are inverted, therefore:

Which means that the inverted function goes from -5 to 25/17 in x and from -5 to 5 in y.

In addition to this we must take into account that when the inverse function is done, in most cases a reflection is made in y = x.

The only graph that meets all of the above is graph A

Given:

If the given triangles are similar.

The corresponding angles should be congruent.

Both triangles have the same angle 105 degrees.

The second angle is 31 degrees and q.

If triangles are similar then the value of q is 31 degrees.

When a stone is dropped in a body of water, ripples are created and move outward in concentric rings. The least-squares regression line has the equation Area = 0.010 + 3.141 (Time2).

The least squares regression equation is the equation y=1x+0 that specifies the least squares regression line.

the least squares regression line's y=1x+0 equation.

Time (t = d/v) or, alternatively, time = speed/distance (v = d/t).

Concentric circles are those that share a common center but have differing radii. It is described as two or more circles with the same center, in other words. An annulus is the space between two concentric circles with dissimilar radii.

Concentric circles are two or more circles with the same center but various radii. Congruent circles are any two or more circles that have the same radius but different centers.

Concentric circles are those that share a common center but have differing radii. It is described as two or more circles with the same center, in other words.

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Step-by-step explanation:

Pitchers(p) = 12

Infielders(i) = 5

Others(o) = 8

Total players = 25

Probability(2p and 1i) =

[tex]( \frac{2}{25} ) \times ( \frac{1}{25} ) = ( \frac{2}{625} )[/tex]

You have a function f(x). To identify the increasing interval and decreasing interval of f(x), you consider that an increasing interval is determined by the values of x in which the value of f(x) increases. For the decreasing interval you focus on the values of x in which the values of f(x) decreases.

You can notice in the given graph:

The increasing interval is (-8 , -4) U (3 , 6)

The decreasing interval is (-4 , -2)

The constant interval is (-2 , 3)

The domain of the function is (-8 , 6)

The previous interval is given by the available values of x

The range of the function is (-4 , 8)

The previos interval is given by the values of f(x) for the values of x in the domain.

The following image is a sketch of the graph with the respective intervals.

Answer:

15:45 i think

Step-by-step explanation:

25% of 60 is 15

60-15=45

15:45

4) For every 1 unit that x increases, y will increase by 2 units.​

1) For the function y=5/3x +1/2

If we remember that "rise over run" mnemonics, that'll make it easier to memorize it.

2) Plotting the graph of this function. Look at point A (1,2)

Counting from bottom to up (2 units "rise" on the y-axis, point A is 1 unit to right "run". So, For every 1 unit that x increases, y will increase by 2 units.​

Answer

Option C is correct.

The function notation

Explanation

In direct variation function, variables x and y are related by the next formula:

y = kx

where k is the constant of variation.

Isolating k for the above formula, we get:

k = y/x

Computing y divided by x with the values of the table:

Given that all the quotients are different, then the linear function is not a direct variation

To turn P(-3,6) to P'(-4,8), we have to

•Move 1 unit to the left (from -3 to -4)

•Move 2 units up (from 6, to 8)

The simultaneous equations are:

Since, the unknown y has the same co-efficient across the two(2) equations, we can eliminate it directly.

Thus, we have:

To find y, substitute for x = -6 into any of the equations.

Thus, we have:

Hence, the correct option is option A

Step 1

Given; The population of the county, which follows the exponential growth model,

increased from 491,675 in 2000 to 782,341 in 2010.

Write the exponential growth function.

Step 2

The exponential function is given as;

Given:

Amount of chocolate chips needed = 1 1/2 times as much floor.

Amount of floor used = 3 1/2 cups.

Let's find the quantity of chocolate chips that would be needed according to the recipe.

To find the amount of chocolate chips used, we have:

Amount of chocolate chips

Answer:

x= 30

y= 88

z= 22

Step-by-step explanation:

x= z+8

y= 4z

x + y + z = 140

we substitute to the third equation (z+8) + (4z) + z= 140 so we obtain 6z+8= 140. Z is then equal to 140-8/6= 22.

Then x= 22+8= 30, y=22(4)= 88

30+88+22= 140

Use properties of operations to write equivalent expressions

WRITING EQUIVALENT EXPRESSIONS USING PROPERTIES

Commutative Property of Addition :

When adding, changing the order of the numbers does not change the sum. ...

Commutative Property of Multiplication : ...

Associative Property of Addition : ...

Associative Property of Multiplication : ...

Distributive Property :

2.8 w + 5.6

= 2.8 ( w + 2 ) ----------- OPTION B

Step 1

Given;

The total number of puppies is 4 represented by 4 coins.

Step 2

Find the experimental probability that exactly 3 of the puppies will be female

Therefore, the total number of samples/coin tosses=20

The formula for probability is;

Total number of events =the total number of samples/coin tosses=20

Number of required events= outcomes with 3 T's from the tab;e=4

Hence.

Answer;

Answer:

Step-by-step explanation:

7/5 = 1.4

15/10 = 1.5

so 7/5 is not equal to 15/10

We want to divide 4x³ + 2x - 3 by x - 3 with the long division method

First, we rewrite the polynomial as:

4x³ + 0x² + 2x - 3

Them we divide the first term of the dividend by the highest term of the divisor:

4x²

x - 3 |4x³ + 0x² + 2x - 3

Then we multiply the divisor by this result:

| 4x²

x - 3 |4x³ + 0x² + 2x - 3

4x³ - 12x²

Now we subtract this result from the dividend:

| 4x²

x - 3 |4x³ + 0x² + 2x - 3

4x³ - 12x²

|12x² + 2x - 3

Now we can repeat all the previous steps using the last result as dividend:

| 4x² + 12x

x - 3 | 12x² + 2x - 3

12x² - 36x

|38x - 3

And we repeat these steps once more:

4x² + 12x + 38

x - 3 | 38x - 3

34x - 102

|99

The final term is the remainder

Then, we have:

4x³ + 2x - 3 = (x - 3)*(4x² + 12x + 34) + 99

ANSWER

y = -7

EXPLANATION

To solve using the substitution method we have to clear x from one of the equations as a function of y. For example, for equation 2:

Then replace x in the first equation by this expression:

And solve for y:

Thus, the required solution is 30.

Answer: 30

Step-by-step explanation: 30

A dilation is given by:

where k is the scale factor.

In this case we have:

Therefore the image is the point:

The equation is written in the slope-intercept form:

Where:

m = Slope

b = y-intercept

From the equation we can conclude that the y-intercept is:

We can find the x-intercept as follows:

The x-intercept is:

(3,0)

The graph is:

Given data:

The given table is shown.

The expression for the equation passing through the points (3, 6) and (5, 10) is,

Thus, the equation of the line is y=2x.

If this is a right triangle, then the Pythagorean theorem has to be valid.

This means that the sum of the squares of the legs has to be equal to the square of the hypotenuse (NOTE: we can identify the potential hypotenuse by finding the side with the most length).

Then, we calculate:

As the Pythagorean theorem is valid for this side's lengths, we know that this triangle is a right triangle.

Answer: Yes.

Given :

The total questions = 300

Time of starting = 5:00

At 6:30 the number of answered questions = 55

The time spent to answer 55 questions = 6:30 - 5:00 = 1:30 hours

Which is equal to : 1 hour and 30 minutes = 90 minutes

So, the rate of answering the questions =90/55 = 18/11 minute per question

So, for solving the 300 questions, the time will be :

So, 490 10/11 minutes = 8 hours and

aWe can factorize by a common factor

ANSWER

8(2m+3n)

The length of rectangle is : 6ft .

Width of rectangle is : 5.5ft .

The area of rectangle is :

A = l × w

Here given,

length is 5ft less than twice the width,

So the equation can be represented in terms of length as,

l = 2w - 5

Given area = 33sqft

By substituting value of length,

33 = (2w - 5) × w

By applying distributive property,

33 = 2w² - 5w

= 2w² - 5w - 33

By factoring the equation:

(2w - 11)(w + 3) = 0

To find value of zeros,

2w - 11 = 0

2w = 11

w = 5.5

Similarly,

w + 3 = 0

w = -3

Since width cannot be negative , the width will be:

the width = 5.5 ft.

Also find length by substituting value of width in equation,

33 = 5.5l

33/5.5 = l

l = 6 ft.

∴ The  length = 6ft, and width = 5.5ft.

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Answer:

In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.

Explanation:

Given that the road trip was 136 miles;

The first part of the trip there was lots of traffic, she only averaged 16 mph;

The second part of the trip there was no traffic so she could drive 44 mph;

She traveled for a total of 5 hours;

let x represent the time in traffic when she traveled at 16 mph

the time the traffic is clear would be;

Recall that distance equals speed multiply by time;

substituting the values;

solving for x;

So;

Therefore, In traffic, she drove for 3 hours

and After the traffic cleared she drove for 2 hours.