Answer:
b. g(x) = ƒ(3x)
Step-by-step explanation:
We can use the graph to find the transformation which has been performed to obtain g.
g(x) is more stretched than x which means the function values are multiplied by some integer to obtain g(x). <u>This eliminates the options a and d.</u>
Now to check which factor is used to transform the function f(x) we can divide the x-coordinates of the points of new and old function.
So,
6/2 = 3
-6/-2 = 3
The function is stretched by a factor of 3.
Hence, the correct answer is:
b. g(x) = ƒ(3x) ..
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
<h3>How to calculate the ellipse? </h3>
From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
Learn more about ellipse on:
brainly.com/question/16904744
Answer: 56 roses and 40 carnations are needed.
Step-by-step explanation: <u>Here’s the table of ratios that’ll help you find how many roses and carnations are needed to make a total of 96 flowers for table decorations:</u>
7:5 /14:10 /21:15 /28:20 /35:25 /42:30 /49:35/ 56:40/
*56 + 40 = 96
Hence, 56 roses and 40 carnations are needed if 96 flowers are needed for table decorations.
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Answer:
6
-9
Step-by-step explanation:
-3(-2) + 0(-1)
4(-2) + 1(-1)
6 + 0
-8 + -1
6
-9
*don't forget to add brackets on each side of every calculation okay :)
