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3 years ago

Which functions are symmetric with respect to the origin?

Mathematics

1 answer:

Damm [24]3 years ago

3 0

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0, arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2) y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

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The mk family ochard has 120 apple trees and 90 pear trees.if each fruit tree produces an average of 590 pounds of fruit per yea

denis-greek [22]

If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.

6 0

3 years ago

Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevr

fgiga [73]

Answer:

Pvalue = 0.020335

X² = 14.99

CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES

Step-by-step explanation:

H0 : there is no difference in market shares

H1: there is difference in market shares

Chisquare (X²) = (observed - Expected)²/ expected

Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05

Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235

Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75

Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4

Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1

Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531

Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924

X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99

The obtain the Pvalue ;

We use the Pvalue from Chisquare calculator :

Pvalue(14.99, 0.05, df= 6) = 0.020335

Decision region :

Reject H0 ; if Pvalue < α

THERE IS DIFFERENCE IN MARKET SHARES

Market share differences:

* 98/400 = 0.245,

0.245-0.20 = 0.045

* 72/400 = 0.18,

0.18 - 0.17 = 0.01

* 54/400 = 0.135,

0.135 - 0.12 = 0.015

* 44/400 = 0.11,

0.11 - 0.10 = 0.01

* 42/400 = 0.105

0.105 - 0.10 = 0.005

* 25/400 = 0.0625

0.0625-0.08 = -0.0175

* 65/400 = 0.1625

0.1625 - 0.23 = -0.0675

5 0

3 years ago

How do i solve this?

shusha [124]

Answer:

Step-by-step explanation:

You can use Pythagoras Theorem,

$8^{2} + y^{2} = (8\sqrt{6} )^{2} \\ y^{2} = (8\sqrt{6} )^{2} - 8^{2} \\y^{2} = 384 - 64\\y^{2} = 320\\y = \sqrt{320}$

∴ $y = 8\sqrt{5}$

Hope that helps!!

Please mark as Brainliest!!

7 0

3 years ago

F(x)=|x-5|+2 Evaluate f(3). A.) 10 B.) 0 C.) 4 D.) 6

Talja [164]

F(x)=|x-5|+2
plug it in

so f(3)
f3)=|3-5|+2
solve whats inside first
|-2|+2
since its absolute value its actually positive
2+2
4

Your answer is C.) 4

4 0

3 years ago

I need a lot of help on this

Natalija [7]

Answer:

True it is a rhombus

Step-by-step explanation:

Square is a rhombus because like a rhombus, all the sides of a square are equal in length. Even, the diagonals of both square and rhombus are perpendicular to each other and bisect the opposite angles. Therefore, we can say the square is a rhombus.

6 0

3 years ago