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marusya05 [52]
3 years ago
9

Prove that the sum of two odd functions is odd.

Mathematics
1 answer:
katrin [286]3 years ago
7 0
Odd function: f(-x) = -f(x)

Let two odd functions be f(x) and g(x)

Let k(x) = f(x) + g(x)

Then k(-x) = f(-x) + g(-x) = -(f(x) + g(x)) = -k(x)

So k(x) is odd too.
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Which describes the graph of y=(x+3)^2-4?
worty [1.4K]
The answer to your question is option d as x is positive ( making it open up), and the vertex is (-3,-4)
8 0
3 years ago
Read 2 more answers
Can somebody help me with these 2 questions and show work ?? :)
777dan777 [17]

5. A. (4, -2)

6. C. (x, y) — (x, -y + 5)

Step-by-step explanation:

5. For the formula y = x, the x and y coordinates get swapped.

M = (-2, 4) — M’ = (4, -2)

6. If the coordinates get reflected across the x-axis, the y coordinates become negative.

(x, y) — (x, -y)

Now that the coordinates are reflected, you go 5 units up (+ 5) to get to the reflection of the coordinates if it was 5 units down before it reflected across the x-axis (- 5).

Ex. 1, 6 gets reflected across the x-axis and moved 5 units up. It’s reflection would be equivalent to (1, -1) because it moved 5 units down (1, 1) then reflected across the x-axis (1, -1).

(x, y - 5) reflected across the x-axis is equivalent to (x, -y + 5)

8 0
4 years ago
If the point (-6, 10) lies on the graph of y=f(x) then which of the following points must lie on the graph of y=1/2f(x)?
MAXImum [283]

Answer:

(-6,5)

Step-by-step explanation:

we have

y=f(x) ----> the parent function

y=1/2f(x) ---> the new y-value will be 1/2 times the original value

The rule of the transformation of f(x) to 1/2f(x) is

(x,y) -----> (x,y/2)

substitute the given value

(-6,10) ------> (-6,10/2)

(-6,10) ------> (-6,5)

5 0
3 years ago
27 Solve for x to the nearest tenth: x² + x - 5 = 0.
Anestetic [448]

Answer:

Step-by-step explanation:

We can use the quadratic formula to get the answer to this

Quadratic Formula: -b +- √b² - 4ac/2a

Once we input A, B, and C into this, and solve any multiplication, we get

x = -1  +- √1 + 20/2

We divide by 2a, which 2a = 2.

-0.5 +- 10.5.

these are the following values of x:

x = 10

x = 11

Pretty sure this is it, hope it helps!

4 0
2 years ago
5. Write each comparison as a rate.
stepan [7]

Answer:

5, 0.55, 2.00, 3 cm.

Step-by-step explanation:

If you're asking about the unit rates, then..

a. For 1 day, there is 5 mm of rain. 15 / 3 = 5

b. One chocolate bar costs $0.55. 2.20 / 4 = $0.55

c. $14.00 / 7 = 2.00 Indu saves $2.00 for one day.

d. 12 / 4 = 3 cm. For one month, philip grew 3 cm.

I hope this helped :)

4 0
3 years ago
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