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lana [24]
3 years ago
11

I need help i don’t understand

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

9514 1404 393

Answer:

  A) J(-3, 1), ...

Step-by-step explanation:

All of the answer choices list point J' first, so it is convenient to use that as an example.

Point J on the given graph has coordinates (x, y) = (3, 2). The x-coordinate is 3 because the point is 3 units to the right of the y-axis.

The problem statement tells you to translate this point 6 units to the left. When you move it 6 units left, it will move left 3 units to the y-axis, then left 3 more units to have an x-coordinate of 3 -6 = -3. That is, each unit of movement to the left subtracts 1 from the x-coordinate. The x-coordinate of J is 3, so the final point J' will have an x-coordinate of 3 - 6 = -3.

At this point, you have enough information to make the correct answer selection. Only one answer choice has the x-coordinate of J' as -3.

__

The other coordinates are translated using similar logic. The y-coordinate of J is 2. Translating it down 1 unit subtracts 1 from the y-coordinate to make it be 2 -1 = 1. Then the coordinates of J' are (-3, 1).

We write the translation rule as ...

  (x, y) ⇒ (x -6, y -1)

This means the coordinates of each translated point have 6 subtracted from the original x-coordinate, and 1 subtracted from the original y-coordinate. The other coordinates of the figure are ...

  I(2, 4) ⇒ I'(2 -6, 4 -1) = I'(-4, 3)

  H(5, 5) ⇒ H'(5 -6, 5 -1) = H'(-1, 4)

  G(4, 1) ⇒ G'(4 -6, 1 -1) = G'(-2, 0)

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Find each difference. <br><br> A: (−5)−6<br><br><br> B: 35−(−8)<br><br><br> C: −438−(−114)
Black_prince [1.1K]

Answer:

A = -11

B = 43

C = -324

Step-by-step explanation:

-5 - 6 = -11

35 + 8 = 43

-438 + 114 = -324

7 0
3 years ago
Read 2 more answers
Need help finding the domain and range
pogonyaev

Here are a few things you'll need to know for this question:

  • Domain: <u>The list of x-values that are possible on a line.</u>
  • Range: <u>The list of y-values that are possible on a line.</u>
  • Interval Notation: <u>Shows the domain/range using the endpoints</u>. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
  • Closed Circles: <u>The endpoint is included.</u>
  • Open Circles: <u>The endpoint is excluded.</u>

So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, <u>the interval notation of the domain is [-2,5).</u>

Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, <u>the interval notation of the range is [-5,2).</u>

3 0
3 years ago
Find the 50th term of the following arithmetic sequence.<br> 13, 22, 31, 40,<br> ---
tankabanditka [31]

Answer:

454

Step-by-step explanation:

The formula for this arithmetic sequence is: 9n+4

1st term: 9(1)+4 = 13

2nd term: 9(2)+4 = 22

3rd term: 9(3)+4 = 31

4th term: 9(4)+4 = 40

.

.

.

50th term: 9(50)+4 = 450+4

                                = 454

6 0
2 years ago
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Harry invests £5000 for 3 years.
mixas84 [53]

Answer:

600

Step-by-step explanation:

Harry invests £5000 for 3 years.

He gets a simple interest of 4% per year.

Work out the total interest Harry gets.

Solution

The formula for simple interest

S.I = P*R*T/100

Where P = Principal = £5000

           R = Rate = 4%

           T = Time = 3 years

 £ 5000 * 4 * 3 /100

  50 * 4 * 3

 £ 600.

5 0
1 year ago
Environmentalists concerned about the impact of high-frequency radio transmissions on birds found that there was no evidence of
babunello [35]

Answer:

No, we cannot conclude anything about 0.10

Yes, they have made the same decision.

Step-by-step explanation:

Consider the provided information.

Part (A)

They based this conclusion on a test using α = 0.05. Would they have made the same decision at α = 0.10

A significance level of 0.05 indicates a 5% risk of concluding that a difference exists

From the normal table the critical value is Z(0.05) = 1.645 and we accept null hypothesis.

If α = 0.1, the critical value is Z(0.1)=1.28

1.28 is less than 1.645.

Therefore, we cannot conclude anything about 0.10

Part (B)

α = 0.01, the critical value is Z(0.01)=2.33

The critical value of α = 0.05 is 1.645 which is less than 2.33,

So we would again reject the null hypothesis.

Hence, they have made the same decision.

6 0
3 years ago
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