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Goshia [24]
3 years ago
11

50 Points!!

Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

a) g(x) = f(x) + 3

So g(x) is a vertical translation of f(x), 3 units upwards

b) g(x) = 3x² - 1 + 3

g(x) = 3x² + 2

The graph has shifted 3 units upwards, so has the vertex.

The vertex of f is (0,-1)

Whereas the vertex of g is (0,2)

-1 + 3 = 2

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. Which calculation best matches the expression 3+2?
elena-s [515]

Answer:

3+2=5

Step-by-step explanation:

8 0
3 years ago
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7.<br> Evaluate f(x) = -2x - 5 for x = 3.<br><br> A. 1<br><br> B. 11<br><br> C. –6<br><br> D. –11
Yuliya22 [10]
I think the answer is d. -11

Explanation:

Replace the variable x with 3 in the expression.
f(3)=-2•3-5

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f(3)=-6 -5

Subtract 5 from -6
f(3)= -11

Then the answer should be -11.
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3 years ago
These two trapezoids are similar. What is the correct way to complete the similarity statement?
bogdanovich [222]
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3 years ago
Find the length of the function over the given interval. y = 3x from x = 0 to x = 2
olganol [36]

The length of the function y = 3x over the given interval [0, 2] is 3.2 units

For given question,

We have been given a function  y = 3x

We need to find the length of the function on the interval x = 0 to x = 2.

Let f(x) = 3x where f(x) = y

We have  f'(x) = 3,  so  [f'(x)]² = 9.  

Then the arc length is given by,

\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2

This means, the arc length is 3.2 units.

Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units

Learn more about the arc length here:

brainly.com/question/10729208

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3 0
2 years ago
What is the value of x ??
almond37 [142]
In a kite, all of the angles added together equal 360. You already know there are two right angles, and because of this, you would subtract 180 from the 360, leaving you with 180. In order to solve for x, you have to add 18x-2 to 12x+2 and set it equal to 180. Your equation would be 18x - 2 + 12x + 2 = 180. The 2's would cancel out, leaving you with 18x + 12x = 180, 30x = 180, then 6 = x.
5 0
3 years ago
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