PLEASE HELP! I also need an in depth explanation, not just the answer. I want to understand how to do these types of problems. How do you know which side to shade? How do you know how to graph inequalities? Thank you! Will reward the most helpful to be the brainliest!

Answer:

Domain: [tex]\mathbb{R}[/tex]

Inverse: [tex]f^{-1}(x) = -x + 5[/tex]

Step-by-step explanation:

Since this is a linear function, the domain and range is simply the set of real numbers.

The inverse is obtain by switching the places of x and y, then solving for y.

Here,

y = -x + 5

So switching x and y,

x = -y + 5

Solving for y again,

y = -x + 5

Thus,

[tex]f^{-1}(x) = -x + 5[/tex]

Answer:

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

[tex]f^{-1}=-x+5[/tex]

Step-by-step explanation:

[tex]f(x) = -x + 5[/tex]

Domain is the set of x value and range is the set of y value. There is no restriction for x  and y in a linear function.

The domain of linear function is always the set of all real numbers

Range is also the set of all real numbers

Now find the inverse

[tex]f(x) = -x + 5[/tex]

Replace f(x) with y

[tex]y = -x + 5[/tex]

Replace x with y and y with x

[tex]x = -y + 5[/tex]

Subtract 5 from both sides

[tex]x-5=-y[/tex]

Divide both sides by -1

[tex]y=-x+5[/tex]

Replace y by f^-1

[tex]f^{-1}=-x+5[/tex]

Answer:

Andre states that the applied interest is simple interest, this statement is true.

Step-by-step explanation:

From the given table it is noticed that the value of y increased by 17.50 as the value of x increased by 1.

The rate of change is calculated as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For first two years the rate of change is

[tex]m=\frac{535.00-517.50}{2-1}=17.50[/tex]

The rate of change for next two years is

[tex]m=\frac{552.50-535.00}{2-1}=17.50[/tex]

Similarly, the rate of change for all years in 17.50.

Since the rate of change is same for all years, therefore the future value is increased by a constant rate, therefore the applied interest is simple interest.

So, the statement "the applied interest is simple interest" is true.

Step-by-step explanation: (Apex) just did the quiz 9/26/19

Answer: W= 0.5

Step-by-step explanation:

You add 3w to both sides to get -5= 10w and then you divide everything by 10 to get w= 0.5

-5 - 3w = 7w

-5 - 3w+3w = 7w+3w <<--- add 3w to both sides

-5 + 0w = 10w

-5+0 = 10w

-5 = 10w

10w = -5

10w/10 = -5/10 <<--- divide both sides by 10 to isolate w

w = -5/10

w = -1/2 <<--- reduce; this is the answer in fraction form

w = -0.5 <<---  this is the answer in decimal form

it would take five days for them to complete their job if you want an explanation just ask

It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

Let's calculate the total work hours required to complete the kitchen remodel and then determine how many days it will take for the 4 people working 6 hours a day to finish the job.

The estimated total work hours for one person to complete the remodel is 120 hours.

Total work hours required = 120 hours

Now, we have 4 people working on the job, and each person works 6 hours a day.

Total work hours per day with 4 people = 4 people * 6 hours/person = 24 hours

To find the number of days it will take to complete the job, we divide the total work hours required by the total work hours per day with 4 people:

Number of days = Total work hours required / Total work hours per day with 4 people

Number of days = 120 hours / 24 hours/day

Number of days = 5 days

It will take 5 days for the 4 people working 6 hours a day to complete the kitchen remodel.

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Answer:

B) 19/42

Step-by-step explanation:

To find the fraction halfway between 3/7 and 10/21 we first find the difference between the fractions, half it, and then add it back on to the smaller one.

Because 10/21 > 3/7 we subtract in that order

[tex]\frac{10}{21} - \frac{3}{7} = \frac{10}{21} - \frac{9}{21} = \frac{1}{21}[/tex]

Half of 1/21 is 1/42 and so the fraction halfway between 3/7 and 10/21 is

[tex]\frac{3}{7} + \frac{1}{42} = \frac{18}{42} + \frac{1}{42} = \frac{19}{42}[/tex]

Answer:

5/8

Step-by-step explanation:

it is 5/8 because if it is greater than1/2, which =to 4/8, and less than 6/8, it must be the number in between, which is 5/8

Answer: 10/9

Step-by-step explanation:

On the width:

6 yards = 18 feet

24 inches = another 2 feet

Total width = 20 feet

On the length:

6 yards = 18 feet

Ratio of width to length = (20 feet) / (18 feet) = 10/9

The actual width of the garden is 72 inches, which is equivalent to 2 yards

To determine the actual width of the flower garden, we need to use the given scale of 1:12. This means that 1 inch on the plan represents 12 inches in reality. Given that the flower garden is 6 inches wide on the plan, we set up a proportion to find the actual width.

The proportion is:

1 inch on plan : 12 inches in reality = 6 inches on plan : x inches in reality

So we calculate:
(1 inch / 12 inches) = (6 inches / x inches)

Now we solve for x:
1/12 = 6/x
x = 6 * 12
x = 72 inches

Therefore, the actual width of the garden is 72 inches, which can be converted into yards by knowing that 1 yard equals 36 inches. Thus, 72 inches is equivalent to 2 yards (since 72 / 36 = 2).

Answer:

It costs Rod $5.37 per day to smoke.

Step-by-step explanation:

If a carton costs 35.80 and there are 10 packs per carton

$35.80 /10 = 3.58 per pack

Rod smokes 1.5 packs per day

1.5 * 3.58 = $5.37

It costs Rod $5.37 per day to smoke.

Answer:

30

Step-by-step explanation:

When l = 10, and w = 5

Plug in 5 for "w" and 10 for "l" inside the equation.

p = 2(10) + 2(5)

Solve for the variable "p". Simplify the equation. Remember to follow PEMDAS. First, solve the multiplication

p = 20 + 10

Next, add.

p = 30

30 is your answer for p in this problem

~

Answer:

160 Seconds

Step-by-step explanation:

acceleration * seconds = distance

1.75 * (x) = 280

1.75x=280

x= 280/1.75

x= 160

In the given case, It will take 160 seconds to transport you 280 feet on the moving walkway.

To determine how long it will take to transport you 280 feet on a moving walkway, we can use the formula:

This formula is particularly useful in various scenarios, such as calculating travel time for a journey, determining how long it will take for an object to reach a certain location, or estimating the time it will take for a process to complete at a given speed.

Time = Distance / Speed

Plugging in the given values, we have:

Time = 280 feet / 1.75 feet per second = 160 seconds

Therefore, the correct answer is 160 seconds.

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Answer:

Commutative property

Step-by-step explanation:

Hope that helps!

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal.  To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8%  = .008

24 = .008 *n

Divide  each side by .008

24/.008 = .008n/.008

3000 = n

Answer:3

Step-by-step explanation: the reason why it's 3 is because 54 divided by 9 is 6 and 6 divided by 2 is 3

Answer:

sin(19pi/6)=-1/2

Step-by-step explanation:

Final answer:

The painter can completely paint 11 apartments with 45 gallons of paint and will have 1 gallon of paint left over.

Explanation:

A painter uses 4 gallons of paint for each apartment. With 45 gallons of paint, you would first divide the total gallons of paint by the gallons needed per apartment to determine how many apartments can be painted completely. Since 45 gallons ÷ 4 gallons per apartment equals 11.25, the painter can only completely paint 11 apartments, because you can't partially paint an apartment. The fractional part, .25, represents the leftover paint. To find out how much paint is remaining, you would then multiply the fractional part by the amount of paint used for one apartment, which is 4 gallons. So, 0.25 × 4 gallons equals 1 gallon. Therefore, the painter will have 1 gallon of paint left over after painting 11 apartments.

When 18 is divided by 4, the quotient is 4 and the remainder is 2.

The division of 18 by 4, can be performed using long division or mental math. First, understand that 'dividend' is the number being divided (18), 'divisor' is what you divide by (4), 'quotient' is the result of the division and 'remainder' is what is left over.

Step 1: Divide 18 by 4. 4 fits into 18 four times (4 x 4 = 16).

Step 2: Subtract the 16 from 18 to find the remainder. 18 - 16 equals 2.

So, the quotient of 18 divided by 4 is 4 and the remainder is 2.

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Answer:

A’/A = 2.25

Step-by-step explanation:

Let the length and width of ABCD be l and w respectively.

A = lw

=====

For rectangle A’B’C’D’  

l’ = 1.5l and w’ = 1.5w

A’ = l’w’

A’ = 1.5l × 1.5 w

A’ = 2.25 lw

=====

A’/A = 2.25lw/(lw)     Cancel lw

A’/A = 2.25

The area of the dilated rectangle is 2.25 times that of the original.

Answer:

The answer is "D"

Step-by-step explanation:

Answer:

C. Hundredths

Step-by-step explanation:

.  tenths   hundredths  thousandths  ten thousandths

. 6               7                       5                   0

Answer:

C. $327.93

Step-by-step explanation:

The formula for interest compounded quarterly is

A = P(1 + r/n)nt   where P is the principal

                                r is the rate

                                t is the time in years  

                                n is the compoundings per year

 p =230  r= .12  t= 3  n =4  since it is quarterly

Substituting these in

A = 230 (1+ .12/4)^(3*4)

   = 230(1.03)^12

    =327.93

Answer:

The answer is C. $327.93

Hope this helps and have a Merry Christmas.  

P.S. Could you make me brainlest?  It would help SO much.  Thanks!

Answer:

60 minutes for the larger hose to fill the swimming pool by itself

Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

takes 30 minutes for the larger hose to fill the swimming pool by itself

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

To find LCM of 20 and 30

LCM (20, 30) = 60

To find the efficiency

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

x = 60/30 =2

x + y = 60 /20 = 3

Therefore efficiency of y = (x + y) - x =3 - 2 = 1

so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

2x +  y = -9.

y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let, consider the equation of y = mx+c,

where, m is the slope of line and c is the y - intercepts. So to draw the graph firstly we find the two points to connect the line in which first is y-intercepts by putting x=0 in the given equation.

standard form of linear equation is :

y = mx+c  

comparing it with given equation :

y= -2x-9.

m = -2, c = -9

Therefore, y= -2x-9 is in standard form itself with slope m = -2 and y intercept c as -9.

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Answer:

The area of cross-section is [tex]30inch^2[/tex]

Step-by-step explanation:

we are given that

a cone is cut by a plane that passes through its vertex and it’s vertex and is perpendicular to its base

So, cross -section will be right angled triangle

whose base will be along diameter of cone

so, base of triangle = diameter of cone =6 inch

base =6 inch

Height of triangle will be same as height of cone

so, height of triangle =10inch

now, we can find area

[tex]Area=\frac{1}{2}\times 6\times 10[/tex]

[tex]Area=30inch^2[/tex]

The area of the cross-section formed by the intersection is 9π square inches.

When a cone is cut by a plane passing through its vertex and perpendicular to its base, the resulting intersection is a triangle similar to the base of the cone.

Such that;

Using the properties of similar triangles, the triangle formed by the intersection is similar to the base of the cone.

The area of the cross-section formed by the intersection is the area of a circle with radius 3 inches:

Area = πr²

Area = π × 3²

Area = π × 9

Area = 9π square inches

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Answer:

D.) 6

Step-by-step explanation:

A parallelogram needs supplementary consecutive sides. To make 150 supplementary, it needs to add 30 to make 180 degerees.

5 * 6 = 30.

Therefore, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

What is the parallelogram?

A parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

A parallelogram needs supplementary consecutive sides.

So, to make the supplementary angle i.e., [tex]150[/tex] degree .It requires to add [tex]30[/tex] to make [tex]180[/tex] degree.

[tex]x=6\\5(6)=30[/tex]

Hence, the value of [tex]x=6[/tex] degree i.e., option (D) is correct answer.

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Answer:  D) Number of yards Jerry cuts; 0 ≤ x ≤ 10  

Step-by-step explanation:

Here the given function that describes the total profit,

y = 15 x - 10

Where x represents the number of lawns Jerry cut in a week.

But, Depending homework and chores, he has time to cut at most 10 lawns a week.

Thus, x ≤ 10

Also, the number of lawns can not be negative.

Therefore, x ≥ 0

And, the value of x will decide the domain of the function y,

Thus, the domain of the given function is,

0 ≤ x ≤ 10

⇒ Option D is correct.

Answer:

d

Step-by-step explanation:

Answer:

B) 57.4+x=67

Step-by-step explanation:

We take the amount in the piggy bank.  Then we take the amount spent and add it to the amount she has left.  These two amounts should be equal

piggy bank = spent + left

67 = x + 57.40

Answer:

Hope this helps! If you have any questions feel free to ask.

Step-by-step explanation:

To find the total number of students in the class, you can use the given information of the percentage and the number of students who like to play volleyball.

To find the total number of students in the class, we can use the information given. It is stated that 30% of the students in the class like to play volleyball, and there are 12 students who like to play volleyball. Let's assume the total number of students in the class is x.

So, we can set up the equation 0.30x = 12 to represent the percentage of students who like to play volleyball. Solving this equation, we get x = 12 / 0.30 = 40. Therefore, there are 40 students in the class.

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Answer:

z = 123.9

Step-by-step explanation:

We can use trigonometric functions, because we have a right triangle.  We now the adjacent and opposite side of the angle we are interested in, so we can use the tan function.

tan 20 = opposite/ adjacent

tan 20 = 45.1/z

Multiply each side by z

z* tan 20 = 45.1 /z * z

z * tan 20 =45.1

Divide each side by tan 20

z = 45.1 / tan 20

z=123.9112316

To one decimal place,

z = 123.9