What is the 100th term of the arithmetic sequence 3, 8, 13, 18

A transformation T : (x, y) → (x + 3, y + 1). Find the preimage of the point (4, 3) under the given transformation. (7, 4) (1, 2

motikmotik

Answer:

(1, 2)

Step-by-step explanation:

Remember that the final shape and position of a figure after a transformation is called the image, and the original shape and position of the figure is the pre-image.

In our case, our figure is just a point. We know that after the transformation T : (x, y) → (x + 3, y + 1), our image has coordinates (4, 3).

The transformation rule T : (x, y) → (x + 3, y + 1) means that we add 3 to the x-coordinate and add 1 to the y-coordinate of our pre-image. Now to find the pre-image of our point, we just need to reverse those operations; in other words, we will subtract 3 from the x-coordinate and subtract 1 from the y-coordinate.

So, our rule to find the pre-image of the point (4, 3) is:

T : (x, y) → (x - 3, y - 1)

We know that the x-coordinate of our image is 4 and its y-coordinate is 3.

Replacing values:

(4 - 3, 3 - 1)

(1, 2)

We can conclude that our pre-image is the point (1, 2).

6 0

3 years ago

Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to

Alchen [17]

Amount of money Aisha receive from selling all of the bracelets is $33.25.

<u>Step-by-step explanation:</u>

In this question, its given that Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to make. Aisha sells each bracelet for $0.10 more than it cost her to make. Let's calculate Number of bracelets Aisha made as $\frac{total-cost}{cost-of-one-bracelet}$ .

Number = $\frac{total-cost}{cost-of-one-bracelet}$

⇒ Number = $\frac{total-cost}{cost-of-one-bracelet}$

⇒ Number = $\frac{29.75}{0.85}$

⇒ Number = $35$

Now , its given that Aisha sell these bracelets with $0.10 more then it cost her i.e. at $0.95 , Let's calculate selling price as :

Price = $0.95(35)$

Price = $33.25

Therefore, amount of money Aisha receive from selling all of the bracelets is $33.25.

4 0

4 years ago

How many prime numbers are there between 45 and 72?

laila [671]

There are 47,51,53,59,61,67,71, that is, 7 primes.

4 0

3 years ago

Read 2 more answers

The function f has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Could f be represented by {(1, 2), (3, 4), (5, 6), (7, 2)}

bezimeni [28]

Answer:

Yes

Step-by-step explanation:

- Yes, a function with those domain and range values could certainly be represented by those points.

- (1,2) and (7,2) are points with separate domain values but identical range values: this is allowed because every x value is only assigned one y value (remember, one number x in domain cannot have two different numbers y in the range).

- Another way is the use of Vertical Line test of the curve passing through to the points {(1, 2), (3, 4), (5, 6), (7, 2)}. sketch down multiple vertical lines passing through the curve. If any particular vertical line intersects the curve at more than one point on the curve then the curve is not a function of y = f(x).

- You would see that all vertical lines are free this invalidation. Hence, y is a function of x having points {(1, 2), (3, 4), (5, 6), (7, 2)}.

5 0

4 years ago

Which exponential function is represented by the graph

S_A_V [24]

Answer:

There is no graph.

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers