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dalvyx [7]
2 years ago
11

Please may I have help with these questions. I’m really confused Thank you

Mathematics
1 answer:
valina [46]2 years ago
4 0

Answer:

Step-by-step explanation:

So what you need to do is take the two points (1, -5) and (3, -1) and subtract them. You take y of the second group and subtract y of the first group.

-1 - (-5) = 4

Now you do the first numbers in each group with the second set being the number you subtract from.

3 - 1 = 2

Now you do \frac{Rise}{Run}. Rise = 4 Run = 2

\frac{4}{2} = 2

Now the second part is saying y = 3x + c with your first set of numbers being x and y.

x = 1

y = -5

-5 = 3(1) + c

-5 = 3 + c

Subtract 3 from -5

-8 = c

The final answer is:

y = 3x - 8

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The table below represents a linear function f(x) and the equation represents a function g(x):
sesenic [268]

Answer:

Part A: Both functions' slopes increase at intervals of four in a positive manner, so they will rise to the right.

Part B: g(x) has a greater y intercept as it is y=3 and f(x) is y=-1

Step-by-step explanation:

4 0
3 years ago
carrie has 340 marbles to put in the vase she wants the vases to either hold 100 marbles or 10 marbles which is the way she can
Elan Coil [88]

Carrie could have 3 vases filled with 100 marbles, and 4 vases filled with 10 marbles. Hope I helped!
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3 years ago
Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use
Dmitrij [34]

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

8 0
1 year ago
What is the inverse of the function below?<br><br> f(x) = 2^x + 6
Helen [10]

The inverse of this function would be f(x) = \frac{Log(x - 6)}{Log2}.



You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.



f(x) = 2^{x} - 6 ----> Switch f(x) and x



x = 2^{f(x)} - 6 ----> Add 6 to both sides



x + 6 = 2^{f(x)} -----> Take the logarithm of both sides in order to get the f(x) out of the exponent



Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2



\frac{Log(x + 6)}{Log2} = f(x) ----> And switch the order for formatting purposes.



f(x) = \frac{Log(x + 6)}{Log2}



And that would be your new inverse function.

6 0
3 years ago
Read 2 more answers
A frame is marked down by 22 percent from an original price of $14.50. What is the new price?
Valentin [98]
22% = 22/100 22/100 * 14.50 = 3.19 (this is the amount discounted off original price) 14.50 - 3.19 = $11.31
7 0
3 years ago
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