Did I do the transformation correctly?

All x-values that are within the scope of both f and g make up the domain of the (f g)(x). In this instance, f has a domain of {"x | x ≥ 0"} and g has a domain of "all real numbers"; as a result, (f - g)(x) has a domain of {"x | x ≥ 0"} as these values of x fall inside both f and g's domains.

A function's domain is the collection of all potential inputs. All x-values, or inputs, and all y-values, or outputs, make up a function's domain and range, respectively. When viewing a graph, the domain consists of all of the graph's values from left to right. The graph's whole range, from the bottom to the top, is the range.

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Answer:

y - 5 = 5(x - 1)

Step-by-step explanation:

Two points on the graph are (1, 5) and (7, 35).  Going from the first to the second, we see x (the 'run') increasing by 6 and y (the 'rise') increasing by 30.  Hence the slope of this line is m = rise / run = 30/6, or 5.

Using the point-slope equation, we get

y - 5 = 5(x - 1)

the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

What is the system of equations?

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied in other words, the locations at which all of these equations intersect.

To find the cost of a mop and a broom, we can set up a system of equations using the information given:

Let x be the cost of a broom

Let y be the cost of a mop (which is $15 more than a broom)

From the problem, we know that:

y = x + 15 (since a mop costs $15 more than a broom)

5x + 7y = 855 (since 5 mops and 7 brooms cost a total of $855)

We can substitute the first equation into the second equation:

5x + 7(x + 15) = 855

5x + 7x + 105 = 855

12x = 750

x = 62.5

Hence, the cost of a broom is $62.50, and the cost of a mop is x + 15 = 62.5 + 15 = $77.50.

Therefore,

a) 1 mop cost $77.50

b) 1 broom cost $62.50

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Answer:

0.001

Step-by-step explanation:

i hope this helps :)

Answer: 0.001

Because the numerator and denominator both have 4 as a term, they can cancel each other out. This leaves the fraction as [tex]\frac{10^{-6} }{10^{-3} }[/tex]. When dividing terms with exponents, the exponents should be subtracted. -6-(-3)=-3. Because the term is [tex]10^{-3}[/tex], it needs to be changed into a fraction, so the exponent is positive. This would equal [tex]\frac{1}{10^{3} }[/tex]. This equals 1/1000, which is 0.001.

Answer:

w = 15

Step-by-step explanation:

p = 2l + 2w

76 = 2(5x - 2) + 2(3x)

76 = (10x - 4) + (6x)

Combine like terms

76 = 16x - 4

add 4 to both sides

80 = 16x

Divide both sides by 16

5 = x

x = 5

-------------------------

width

w = 3x

w = 3(5)

w = 15

It will take the toaster about 175 seconds to make 20 slices.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that The toaster takes 35 seconds to make 4 slices of toast.

It takes 70 seconds to make 8 slices of toast, It also takes 105 seconds to make 12 slices.

We are required to calculate how long it may probably take the toaster to make 20 slices.

To calculate the time it takes the toaster to make 1 slice:

4 slices ---------- 35 seconds

1 slice ----------- ? seconds

1/4 × 35 = 35/4 seconds

Now, if 1 slice will be made in 35/4 seconds,

20 slices will be made in:

1 slice --------- 35/4 seconds

20 slices ------ ? seconds

(20/1) × 35/4 = 175 seconds

Hence It will take the toaster about 175 seconds to make 20 slices.

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The statements that are always true regarding the diagram are:

i. m∠5 + m∠6 =180°

ii. m∠2 + m∠3 = m∠6

iii. m∠2 + m∠3 + m∠5 = 180°

A triangle is a 2 dimensional plane figure which is formed by three straight lines and has three interior angles. It has both interior and exterior angles. Some examples of a triangle are; isosceles, equilateral, scalene, right angled etc.

The interior angles of a triangle are the measure of the three internal angles of the triangle, while exterior angles are external to the interior angles of the triangle.

Note that; the exterior angle of a triangle is equal to the sum of the two adjacent interior angles.

Therefore considering the given diagram, the required statements that are always true regarding the diagram are:

i. m∠5 + m∠6 =180°

ii. m∠2 + m∠3 = m∠6

iii. m∠2 + m∠3 + m∠5 = 180°

A sketch of the diagram is herewith attached to this answer for clarity.

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Answer:

AGD=180-90

=90

FGD=CGE=23

AGF=90-23

=67degrees

Answer:

th chicken

Step-by-step explanation:

An example of when renting from parabolas would be a better deal than renting from Arc of Hawk's is when the rental period is 8 hours.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The total cost of renting parabolas would be 8 × $4.50 + $35 = $43.

The total cost of renting from Arc Hawk's would be 8 × $5.25 + $25 = $45.75

So Parabola is cheaper by $2.75

In general, any rental period of 8 hours or less would be a better deal with Parabola's, as per hourly rate is cheaper and the rental fee is higher than Arc Hawk but still, the total cost is lesser.

As the rental period increases beyond 8 hours, the per-hour rate difference becomes negligible and Arc Hawk becomes cheaper.

It is important to compare the cost for the same rental period, to accurately determine which rental company offers a better deal.

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Answer:

d. 1/16

Step-by-step explanation:

Flipping the coin 4 times gives a total of 16 possible outcomes. Only one of those gives 2 heads followed by 2 tails. So the probability is 1/16.

Hope this helps!

Answer:

A

Step-by-step explanation:

Commutative Property of Addition states that a change in the order of terms does not change your sum.

The given statement is example of the commutative property of addition. So, option A is the correct answer.

According to the commutative property of addition, changing the order of addends has no impact on the sum.

The given statement is x+y=y+x.

Only addition and multiplication operations are under the scope of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers.

Example, 3+8=8+3

⇒ 11=11

So, x+y is same as y+x

Therefore, option A is the correct answer.

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Answer:

y = -3/4x + 36

Step-by-step explanation:

In slope-intercept form, (y = mx + b), m is the slope and b is the y intercept. The slope is the rise/run. You can count from one point to another that you move down 3 and to the right 4. So your rise/run is -3/4.

The y-intercept is 36, because that is where the line crosses the y-axis.

So you can substitute the values into the equation:

y = mx + b

y = (-3/4x) + (36)

y = -3/4x + 36

Answer:

6 chairs

8 desks

Step-by-step explanation:

First, we assume that all 14 items he bought were chairs, if that was to be true then the office manager would spend...

125 x 14 =  1750$

We see that he spent less then he should have so now we start to substitute desks instead of chairs, and we have to keep in mind that if we change 1 chair to a desk then the total will increase by...

515 - 125 = 390$

Now we just find the difference between the needed total and the total that we get if the office manager would by only chairs and then divide the result by 390 in order to find the number of desks, and so we get...

(4870 - 1750) / 390 = 3120 / 390 = 8 desks

And now that we know the number of desks we just subtract the number of desks from 14 and get the number of chairs, and so...

14 - 8 = 6 chairs

Answer:

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

big number

1 and double the zeros you just type

The nature of roots of quadratic equation x² = -2x + 1 is real and distinct.

The standard form of a quadratic equation is:

ax² + bx + c = 0

The discriminant is defined as:

D = b² - 4ac

Using  the value of discriminant, we can determine the nature of roots of a quadratic equation.

If:

D > 0, the quadratic equation has two distinct real roots or the roots are real and distinct.

D = 0, the quadratic equation has 1 real equal roots or the roots are unique

D < 0, the quadratic equation has complex conjugate roots or the roots are imaginary.

In this case, the quadratic equation is:

x² = -2x + 1

transform it into the standard form:

x² + 2x - 1 = 0

Calculate the discriminant:

D = 2²  - 4 (-1) = 8

Since D > 0, the roots are two distinct real roots.

Your question is incomplete, but most probably your question was:

What is the nature of roots of quadratic equation x² = -2x + 1?

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The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.

Now, According to the question:

Let's know:

What is Horizontal lines?

If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.

The equation is y = 4.

The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.

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Answer:

542 miles

Step-by-step explanation:

65 miles/hour x 4.5 hours = 297 miles for the first part

70 miles/hour x 3.5 hours = 245 miles for the second part

297 + 245 = 542 miles

Applying the Pythagorean theorem, the value of c in the right triangle, to the nearest tenth is: B. c = 19.9 cm

The Pythagorean theorem is used to find any side of a right triangle. If c is the hypotenuse, and a and b are the legs, the Pythagorean theorem states that, c = √(a² + b²).

Given:

Thus:

c = √(14.2² + 13.9²)

c = 19.9 cm.

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The blend contains 16% of type A and 8% of type B.

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

Let p be the percentage of type b used for the mix

2p be the percentage of type a used for the mix

2p × 300 + p × 500 = 0.11 × 800

simplifying the above equation, we get

p = 0.08 or 8%

Substitute the values in the above equation

2p = 2 × 0.08 = 0.16 or 16%

16 % of type a and 8 % of type b exists utilized for the mix.

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The required percentage of raisins are each type of raisin bran are 16% and 8%.

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

Let p be the percentage of type b used for the mix

2p be the percentage of type a used for the mix

2p × 300 + p × 500 = 0.11 × 800

simplifying the above equation, we get

p = 0.08 or 8%

Substitute the values in the above equation

2p = 2 × 0.08 = 0.16 or 16%

16 % of type a and 8 % of type b exists utilized for the mix.

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Answer: $133.10.

Step-by-step explanation:

Answer:

To calculate the monthly payment for a loan, you can use the following formula:

Monthly payment = (APR/12) * loan amount / (1 - (1 + APR/12)^(-number of payments))

In this case, the loan amount is $6,000, the APR is 3.11%, and the loan is for 4 years, or 48 months. Plugging these values into the formula, we have:

Monthly payment = (0.0311/12) * $6,000 / (1 - (1 + 0.0311/12)^(-48))

Calculating, we find that the monthly payment is approximately $147.26. Rounded to the nearest cent, the monthly payment is $147.26.

Step-by-step explanation:

Answer:

c = 9

Step-by-step explanation:

simplify terms first

7c -2c=45

5c = 45

divide both sides by 5

c = 9

Answer:

7c-2c=45

5c=45

c=45/5

c=9

Answer:

in explanation

Step-by-step explanation:

The canary, the seagul, and the crow, All have both checkmarkes that shows that they Can fly AND they are birds (so B)

Bro this is easy you dont need Brainly for this just read it carefully and look at the graph.

Answer:

canary, seagull, crow

Step-by-step explanation:

just took the test

Answer:

66

Step-by-step explanation:

Answer:

66 is the correct answer

Step-by-step explanation:

when 7(12)+3(-6)

= 84+(-18)

66

The length AB is 15.

What is length ?

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.

In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.

As it is a isosceles the two sides are equal

5x = 4x + 3

x = 3  

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Step-by-step explanation:

The problem states that you have a linear function so expect your equation to have this form:

y = mx + b

where m is the slope and b is the y-intercept. You are also given two points: P1(5, 6) and P2(14, 60). Use these points to solve for the slope m.

m = (y2 - y1) / (x2 - x1) = (60 - 6)/(14 - 5)

= 54/9 = 6

So our equation now becomes

y = 6m + b

To solve for b, plug in the values of P1:

6 = 6(5) + b ---> b = -24

Therefore, our equation is

y = 6m - 24

The rest of the points are

(8, 24)

(11, 42)

Answer:

-20.50?

Step-by-step explanation:

I think you said he added 5 dollars in his account which would get some of his debt removed. But he would still have a remaining -20.50 dollars to get rid of.

Answer:

(2 , -2)

Step-by-step explanation:

L (4 , 2) -> (4-2 , 2-4) -> (2 , -2)