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Bond [772]
3 years ago
11

What happens when y = -f(-x)?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

It's a reflection over the x axis.

Step-by-step explanation:

Idk I googled it.

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Simplify. 4 × (8 + 5) + 9 45 46 61 62
Darya [45]

Answer:

61

Step-by-step explanation:

4 × (8 + 5) + 9

Parentheses first

4 × (13) + 9

Then multiply

52 +9

Then add

61

7 0
3 years ago
Find the values of c such that the area of the region bounded by the parabola
KATRIN_1 [288]

<u>Solution-</u>

The two parabolas are,

y=16x^2-c^2 \ and \ y=c^2-16x^2

By solving the above two equations we calculate where the two parabolas meet,

So \ 16x^2-c^2 = c^2-16x^2 \Rightarrow 32x^2=2c^2 \Rightarrow x=\frac{1}{4}c

Given the symmetry, the area bounded by the two parabolas is twice the area bounded by either parabola with the x-axis.

\therefore Area=2\int_{-c}^{c}y.dx= 2\int_{-c}^{c}(16x^2-c^2).dx\\=2[\frac{16}{3}x^3-c^2x]_{-c}^{ \ c}=2[(\frac{16}{3}c^3-c^3)-(-\frac{16}{3}c^3+c^3)]=2[\frac{32}{3}c^3-2c^3]=2(\frac{26c^3}{3})\\=\frac{52c^3}{3}

So \frac{52c^3}{3}=\frac{250}{3}\Rightarrow c=\sqrt[3]{\frac{250}{52}}=1.68

5 0
4 years ago
Use the given endpoint Rand midpoint M of RSto find the coordinates of the other endpoint.
Dima020 [189]

Answer:

Step-by-step explanation:

(x+5)/2 = 6

x + 5 = 12

x = 7

(y + 2)/2= 4

y + 2 = 8

y = 6

(7, 6)

7 0
3 years ago
To a survey of 290 newspaper reader, 181
astra-53 [7]

Question:

To a survey of 290 newspaper readers, 181 of them read the Daily Times, 142 Read the Guardian 117 read punch and each reads at least one of the three papers if 75 read the Daily Times, and the Guardian, 60 read the Daily Times and punch, and 54 read the Guardian and punch : Draw a Venn diagram to illustrate this information How many readers read All three papers ,Exactly two of the papers The Guardian alone?

Answer:

39 read all three news papers,72 Exactly two Papers & 52 reads  Guardian Alone

Step-by-step explanation:

We have given, A survey of 290 newspaper readers.

Who read the Daily times A=181  

Who read the Guardian times B=142  

Who read the punch C=117

Who read Daily Times and the Guardian A\cap B= 75

Who read Daily Times and the punch A\cap C=60

Who read Guardian and punch B\cap C=54

To find :

How many readers read All three papers, Exactly two of the papers The Guardian alone?

Solution :

Readers read all three papers is A\cap B\cap C

Total survey is given by,

Total = A+B + C- A\cap B- A\cap C - B\cap C+ A\cap B\cap C

290 = 181 + 142 + 117 - 75 -60 - 54 +A\cap B\cap C

290 =251+A\cap B\cap C

290-251=A\cap B\cap C

A\cap B\cap C=39

So, number of readers who read all three papers is 39.

Exactly two of the papers = 36 + 21 + 15 = 72

Guardian Alone = 52

7 0
3 years ago
Solve the equation 5n-3(4n+1)
malfutka [58]

Answer: -7n +3

Step-by-step explanation:

8 0
2 years ago
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