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2 years ago

Which function is represented by the graph?

Mathematics

1 answer:

PolarNik [594]2 years ago

7 0

Answer: (-a, -b)

Step-by-step explanation: It's a square that has both X-axis and Y-axis as lines of symmetry. We can then conclude the center of the square is at the origin (0,0).

It doesn't matter if the square is straight up (both axis being the mid-points symmetry lines, and one corner in each quadrant) or if it is turned (both axis being the diagonals and the corners are on the axis), in any case if a summit (corner) is defined as (a,b), the opposite corner will be at (-a,-b).

(a,b) could be (2,2), then opposite would be (-2,-2).

(a,b) could be (3,0), then the opposite would be (-3,0).

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How do you solve: f(x) = -x2e-x +2xe-x , finding the zero's of f.

Maksim231197 [3]

Answer:

0 and 2

Step-by-step explanation:

$f(x) = -x^2e^{-x}+2xe^{-x}$

To find zeros set f(x)=0 and solve for x

$0 = -x^2e^{-x}+2xe^{-x}$

$0 = -e^{-x}(x^2-2x)$

now factor out x

$0 = -xe^{-x}(x-2)$

set each factor =0 and solve for x

$x=0$

$-e^{-x}=0$ no solution for x

$x-2=0, x=2$

zeros of f are 0 and 2

7 0

4 years ago

A college dorm has 9 floors..each floor has 32 rooms..use distributive property to find the total number of rooms in the dorm

bulgar [2K]

9 Floor
32 Rooms
To find total multiply 9 and 32 to get 288 total rooms.

6 0

3 years ago

Read 2 more answers

Given the midpoint and one endpoint of a line segment, find the other endpoint.

neonofarm [45]

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)
Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

$(x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )$

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

$(-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )$

First , lets solve for x.

$=> \frac{x - 4}{2} = -8$

$=> x - 4 = -8 \times 2 = -16$

$=> x = -16 + 4 = -12$

Now , lets solve for y.

$=> \frac{y - 10}{2} = -4$

$=> y - 10 = -4 \times 2 = -8$

$=> y = -8 + 10 = 2$

∴ The co-ordinates of another endpoint = (-12 , 2)

3 0

3 years ago

A recent study claimed that in any given month, for every 5 text messages a boy sent or received, a girl sent or received 7 text

morpeh [17]

I believe so! The number of texts sent or received by boys is proportional to the number of texts sent or received by girls! Have a nice day!

5 0

3 years ago

Read 2 more answers

Can someone help me please and thank you

Kay [80]

Up, you add the number to the given equation; down, you subtract. To change the steepness, multiply x by the factor involved.

A) y = 3x -10

B) y = (1/2)x +4

C) y = x -1

6 0

4 years ago