Which statement could be used to explain why f(x)=2x-3 has an inverse relation that is a function

Answers

Answer 1
Answer: The correct answer is:

The function is a one-to-one function.

Explanation:

When an equation is graphed, we use the Vertical Line Test to determine if that equation is a function; if a vertical line hits more than one point anywhere on the graph, the graph is not a function.

This corresponds with the definition of a function:  A function is a set of ordered pairs in which each element of the domain (x) is mapped to no more than one element of the range (y).  Since every x has no more than one y, there will be no two points hit by the same vertical line.

When we have the graph of a function, to determine if it has an inverse, we use the Horizontal Line Test: if a horizontal line hits more than one point anywhere on the graph, the function does not have an inverse.

This corresponds with the definition of a one-to-one function:  A function in which every element of the range (y) is mapped to exactly one element of the domain (x). Since every y has one x, there will be no horizontal line that hits more than one point anywhere on the graph.
Answer 2
Answer: An inverse function is the relation formed when the independent variable is exchanged with the dependent variable in a given relation. To find this you just have to swap the x and y coordinates. The statement that could be used in this problem to explain why f(x) = 2x - 3 has an inverse relation that is a function is: B) f(x) is a one to one function.

I hope it helps, Regards.

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Q6.2
(8 + 2 x 6)2 =

the two at the end of the brackets is squared it a small two ​

Answers

Answer: 1600

Step-by-step explanation:

2(8+2x6)

2(8+12)

2(20)

40

40^(2)

1600

Mark me as the brainiest answer.

(8+2x6)2^2
= (8+12)2^2
=(20)2^2
=20x4
=80

5) Joy and Cullen put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Joy: y = 30x + 20 Cullen: y = 20x + 90 a) After how many weeks will Joy and Cullen have the same amount of money in their money boxes?
b) What is that amount?

Answers

After 7 weeks Joy and Cullen will have the same amount of money in their money boxes and the amount is $230.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

a) The given system of equations are y=30x+20 -----(i) and y=20x+90 -----(ii)

Fromm equation (i) and (ii), we have

30x+20=20x+90

30x-20x=90-20

10x=70

x=7

b) Substitute x=7 in equation (i), we get

y=30×7+20

y=210+20

y=230

Therefore, the solution of the system of equations is (7, 230).

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Answer:

The answer is D trust me i helped my friend Week 7 And the amount is 230$

Step-by-step explanation:

20 pointsA large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.

Answers

Answer:

I think the answer is A, D, E, F, and G.

Tell me if i'm right or wrong please.

Answer:

adefg

Step-by-step explanation:

Jermaine buys T-shirts for $6 each and marks up the price by 45%.How much does Jermaine charge for each T-shirt (with the mark-up)?

Answers

Answer:

8.7

Step-by-step explanation:

6*1.45=8.7

PLS SOLVE QUICKLY:

u/p +u/q = m, if, p is not equal to -q

Answers

Final answer:

To solve the equation u/p + u/q = m, where p is not equal to -q, we can follow these steps: multiply both sides by pq, factor out the common variable u, and then solve for u by dividing both sides by (q + p) and we getu=mpq/(q+p) .

Explanation:

In this equation, u is a variable and p and q are different values. So, the equation can be rewritten as:

u/p + u/q = m

To solve this equation, we need to get rid of the fractions. We can do this by multiplying both sides of the equation by pq:

uq + up = mpq

Now, we can factor out the common variable u:

u(q + p) = mpq

Finally, we can solve for u by dividing both sides of the equation by (q + p):

u = mpq / (q + p)

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Mark wants to use a grid to model the percent equivalent of the fraction 2/3. How many grid squares should be shade? What percent would his model show?

Answers

Answer:

66 + 1 ( not fully shaded ) squares will be shaded.

66.67% region will be shaded

Step-by-step explanation:

It is given that Marks uses a grid to model percent equivalent of (2)/(3).

Let us assume that Mark uses a model containing 100 grids.

Now, as the grids are divided into region equivalent to (2)/(3) i.e. it is divided into 3 parts.

Moreover, 2 out of those 3 parts will be shaded.

As, (2)/(3) =0.6667

i.e. (2)/(3)=66.67%

So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.

Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.

Final answer:

To represent the fraction 2/3 on a grid, approximately 67% of the squares on the grid should be shaded. This means such a fraction corresponds to 67 out of 100 squares on a 100-square grid or equivalently 67% shaded.

Explanation:

To determine how many grid squares Mark should shade to model the percent equivalent of the fraction 2/3, we need to understand the relationship between fractions, decimals, and percents. When we convert the fraction 2/3 into a decimal, we get approximately 0.67. To represent this as a percent, we multiply by 100, which gives us 67%. So, about 67 out of 100 squares should be shaded.

Let's say Mark's grid has 100 squares (10 rows by 10 columns). In that case, he would shade about 67 squares to represent 2/3 as a percent. If the grid contains fewer than 100 squares, he would need to adjust accordingly.

In summary, the model would show about 67% shaded.

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