Based on the graphs of f (x) and g(x), in which interval(s) are both functions increasing?Polynomial function f of x, which increases from the left and passes through the point negative 4 comma negative 4 and goes to a local maximum at negative 3 comma 0 and then goes back down through the point negative 2 comma negative 2 to a local minimum at the point negative 1 comma negative 4 and then goes back up through the point 0 comma 0 to the right, and a rational function g of x with one piece that increases from the left in quadrant 2 asymptotic to the line y equals 1 passing through the points negative 6 comma 2 and negative 2 comma 6 that is asymptotic to the line x equals negative 1 and then another piece that increases from the left in quadrant 3 asymptotic to the line x equals negative 1 passing through the point 0 comma negative 4 and 4 comma 0 that is asymptotic to the line y equals 1(–°, –3) ∪ (–1, °)(–°, –3) ∪ (4, °)(–°, –3)(–°, °)

Step 1: Problem

What is 132% as a decimal?​

Given that The band learns a new song every four days.

We need to find the number of new songs for four weeks.

We know that one week= 7 days

Multiply by 4 to find the number of days in four weeks.

We need to find the number of new songs that the band learns in 28 days.

Divide 28 by 4 to find the number of songs since the band learns one new song every 4 days.

The band learns 7 songs in four weeks.

we have that

the diameter is two times the radius

so

in this problem

D=2r

D=2(4)=8 cm

Given the equation

2x + 3y = 8

The given equation represents a line

It is required at minimum two points to graph the line

So, assume two value for x and find y using the given equation

When x = -2

2 * -2 + 3y = 8

-4 + 3y = 8

3y = 8 + 4

3y = 12

y = 12/3 = 4

so, the point (-2 , 4) lie on the line

And assume x = 4

so, 2 * 4 + 3y = 8

8 + 3y = 8

3y = 0

y = 0

So, the point (4 , 0) lie on the line

so, the line is passing through the points (-2 , 4) and ( 4 , 0)

By connecting the points and extending the line we will get the graph of 2x + 3y = 8

See the following image;

we have

12x+18

REmember that

12=(2^2)*(3)

18=(2)*(3^2)

substitute

(2^2)*(3)x+(2)*(3^2)

Factor (2)*(3)=6

6(2x+3)

therefore

the answer is

Take into account that a statistical question refers to situation which data set are involved. Then, you can consider as statistical questions:

What is the average price of an orange

average takes into account the price of more than one orange.

What is the average weight of an orange grown in U.S.A

What percent of oranges grocery stores were grown in the USA

Given :

Domain is:

Range is:

Here is one output for one input.

Step 1:

Concept: Calculate the area of each face and add all together to get the surface area of the pyramid.

The regular pyramid below have 4 triangles and a square

Step 2: Apply the area formula to find the area of the 4 triangles and a square.

Step 3:

Given data for the triangle

Height = 21

Base = 12

Step 4: Find the area of the square

Given data for the square

Length = 12

Area = length x length = 12 x 12 = 144 sq. units

Step 5: Add the area of the four triangles and the square.

Surface area of the regular pyramid = 504 + 144

= 648 sq. units

Given:

The objective is to convert 12 quarts into gallons.

In general,

12 quarts can be converted to gallons by,

Hence, 12 quarts is 3 gallons.

The expression (g+f)(x) is equal to g(x)+ f(x), (g-f)(x) is equal to g(x) f(x) and the expression (g*f)(-3) is equal to g(-3)*f(-3).

Then, we have

Similarly,

And finally,

In summary, the answers are:

Taking l as the length of one of the legs and using the pythagorean theorem we have that:

Solve the equation for l:

It means that the hypotenuse is:

And the leg is:

a) 6 x 18 = 108

b) 8 x 74 = 592

According to the distributive property:

a (b + c) = ab + ac

Let us do each of the exercises 3 and 4 using the distributive property:

3) 6 x 18

Step 1: Write 18 as 10 + 8

18 = 10 + 8

6 x 18 = 6 ( 10 + 8)

Step 2: Apply the distributive property

6 ( 10 + 8) = (6 x 10) + (6x8)

Step 3: Multiply each of the terms

60 + 48

Step 4: Add the two together

108

Therefore, 6 x 18 = 108

4) 8 x 74

Step 1: Write 74 as 70 + 4

74 = 70 + 4

8 x 74 = 8 ( 70 + 4)

Step 2: Apply the distributive property

8 ( 70 + 4) = (8 x 70) + (8x4)

Step 3: Multiply each of the terms

560 + 32

Step 4: Add the two together

592

Therefore, 8 x 74 = 592

2.6 inches (third option)

Given:

To convert 6.5cm to another unit

To find:

The value of 6.5 cm inches

To determine the value in inches, we need to do a conversion from cm to inches

1 inch = 2.54 cm

let 6.5 cm in inches = y

6.5cm = y

2.54cm = 1 inch

crossmultiply:

To the nearest tenth, y = 2.6

Hence, the value of 6.5cm in inches is 2.6 inches (third option)

To find out the determinant, multiply in cross

so

(3)*(-2)-(5)*(-7)=-6+35=29

therefore

the answer is 29

Answer:

Explanation:

The equation of the line to the left is 2x + 3 and we see that it only exists for x <= -4.

The equation of the line to the right is 2x - 12 and we see that it only exists for x > 2.

Therefore, we can write

f(x) = 2x + 3 for x < = -4

f(x) = 2x -12 for x > 2

Or in the notation of piecewise function, the above can be written consicely as

which is our answer!

To do this, you can first convert the percentage form to its decimal form, like this

Now, you can convert the numbers that are possible answers into their decimal form, like this

Option A.

Option B.

Option C.

Option D.

Therefore, the number that is not equal to 225% is 50/40 and the correct answer is C. 50/40.

The given function is

f(x) = x^2 - 14x + 44

To find the turning point, we would differentiate the function, equate the derivative to zero and solve for x. We have

f'(x) = 2x - 14

Equating it to zero, we have

2x - 14 = 0

2x = 14

x = 14/2

x = 7

The value of x of the turnng point is 7

We can see that triangles ABC and AXY are congruent

This means that

Now, we know that BX=10, BY=8 and BA=AX+BX, hence AX=BA-BX, we have

now, since BA-BX=15-10, BA-BX=5, it yields,

Now, we need to isolate YC, this is given by

Since

we have that

hence, the answer is YC=4, which corresponds to A).

The answer is letter A. 0.1

because the probability = 1

So Probability of select 4 adults = 1 - 0.25 - 0.5 - 0.15

= 0.1

Suppose y varies inversely as x, if y = 7 when x = 6

then find y when x = -21.

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form

y*x=k

where

k is the constant of proportionality

step 1

Find the value of k

we have

y=7, x=6

k=7*6

k=42

the equation is

y*x=42

step 2

For x=-21

substitute

y*(-21)=42

y=42/(-21)

The order from least to greatest is -4.7,-4,-31/8, [tex]-3\frac{1}{8}[/tex]

A fraction represents a part of a whole.

The given integers are -31/8,-4.7, -4 and -3 1/8

Now let us simplify the fraction values

-31/8=-3.875

-4.7

-4 and

     [tex]-3\frac{1}{8}[/tex]=-24+1/8=-23/8=-2.875

As there is a negative sign, the smallest number with negative sign will be greatest and largest number with negative sign is smaller.

So -4.7,-4, -3.875, -2.875

-4.7,-4,-31/8, [tex]-3\frac{1}{8}[/tex]

Hence the order from least to greatest is -4.7,-4,-31/8, [tex]-3\frac{1}{8}[/tex]

To learn more on Fractions click:

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You flip a coin and roll a die. The table shows the sample space.

1

2 3 4 5 6

Heads(H) H-1 H-2 H-3 H-4H-5H-6

Tails(T) T-1 T-2 T-3 T-4 T-5 T-6

What is the probability of getting a head or a tail and an

even number?

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

In this problem

the size of the sample space is (6+6+6)=18

the size of the event space is equal to (6+6+3)=15

REmember that an even number are (2,4 and 6)

so

the probability is equal to

P=15/18

simplify

P=5/6

therefore

a) Horizontal asymptotes are horizontal lines that the graph of a function approaches but never touches. To find the horizontal asymptote, we would apply one of the rules which states that

If the degree of the of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x axis of the graph. It occurs at y = 0

The degree is the largest exponent in the function. Looking at the given function, the degree of the numerator is 2 while the degree of the denominator is 3. Thus,

there is a horizontal asymptote at y = 0

b) The vertical asymptotes are vertical lines which correspond to the zeros of the denominator of rational functions. It is equal to the values of x that make the denominator to be zero. Looking at the given function, (x + 1) cancels out in the numerator and denominator. We are left with (x - 4) and (x + 5). We would equate both terms to zero and solve for x. These values of x would make the denominator to be equal to zero. We have

x - 4 = 0

x = 4

x + 5 = 0

x = - 5

Thus,

there are vertical asymptotes at x = - 5 and x = 4

Let's begin by listing out the information given to us:

Initial fee = $5

Fee per stop = $2.75

Amount with Julia = $21

What is the highest number of stops she can make?

S = the number of stops Julia bought

Julia pays the initial fee of $5. We subtract this from the $21, we have

$ (21 - 5) = $16

Julia has $16 left to buy her stops. She cannot spend beyond the amount of money with her (altogether $21). She spends lesser than or equal to $21 (≤ $21)

The inequality that describes this scenario is given by:

initial fee + fee per stop * number of stops ≤ 21

5 + 2.75 * S ≤ 21

Hence, option A is the correct answer

What is the largest number of stops that Julia can afford?

This is gotten by dividing the amount left after subtracting the initial fee by the fee per stop

n = 16/2.75 = 5.82 = 5 stops (rounding downwards)

We round downwards because the number of stops must be a whole number and it must be lesser than or equal to $21 altogether

Given:

cot (x) = √3

To find the smallest non-negative value for x in degrees:

So, we get

Hence, the answer is,

y=4x+17

Step 1

2 equations of lines are parallel if the slope is the same, so

a) find the slope of the graphed line

the slope of a line can by calculated by using

so

pick up 2 points from the the line and let

replace and evaluate

hence, the slope of the line is 4

Step 2

now, using the slope and a point we can find the equation of the line

use the point-slope formula, it says

so

a)let

b) now ,replace and solve for y

so, the answer is

y=4x+17

I

The answer is A

From the question:

Total fans in attendence = 673

x = number of students

y= non - students

Total of fans in attendance =

x + y= 673

The domain is [ -2, 2]

and the range is [-3, 3]

Answer:

πr2h

volume of cylinder

3.14×3×3×1.1=31.086m^3

1hour=13m^3

31.086m^3

divide 31.086÷13=2.3912hours

To check if (10, -2) is a solution to the system, we have to replace x with "10" and y with "-2" and see if the inequalities hold true.

If both the inequalities hold true, then definitely (10, -2) is a solution!

Let's check the first inequality:

Now, let's check the second inequality: