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3 years ago

If f(x) = -(1/x^3) and x takes on successive values from -10 to 0.1 ,

1 answer:

3 0

Alright, this one is a little interesting... Let's perform some tests to figure out what is happening:
f(-10) = -(1/(-10)^3) = -(1/-1000) = 1/1000 (positive)
f(-5) = -(1/(-5)^3) = -(1/-125) = 1/125 (positive, bigger than the last one)
f(-1) = -(1/(-1)^3) = -(1/-1) = 1 (positive, bigger than the last one)
f(-0.1) = -(1/(-0.1)^3) = -(1/-0.001) = 1/0.001 = 1000 (positive, bigger than the last one)
f(0) = -(1/0^3) = undefined!
f(0.1) = -(1/(0.1)^3) = -(1/0.001) = -1/0.001 = -1000 (negative)
f(1) = -(1/1^3) = -(1/1) = -1 (negative, but bigger than last one)

It's a little confusing with the undefined part at x = 0. What I can say is this, it is increasing from -10 up to 0, something weird happens at 0 and it resets, and starts increasing from 0 up to 0.1.

I guess A would be the best answer?

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Three year ago , Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increase

DIA [1.3K]

End of First Year (750/100)x12(3/5)=54 $750+54=804
End of Second Year (804/100)x12(3/5) = 58 $804+58=862
End Of Third Year (862/100)x12(3/5) = 62 $862+62=924

STOCK WORTH NOW = 924

5 0

3 years ago

Given: Tangents LA and LB m∠AOB=110° Find: m∠ALO.

Sonbull [250]

Answer:

m<ALO=35°

Step-by-step explanation:

we know that

The right triangle AOL is congruent with the right triangle BOL

because

OA=OB=radius of the circle

OL is a common side

LA=LB ---> by applying the Pythagoras theorem

therefore

m<AOL=m<AOB/2

m<AOL=110°/2

m<AOL=55°

Remember that

m<AOL+m<ALO=90° ------> by complementary angles

m<ALO=90°-55°=35°

7 0

3 years ago

A father is 4 times as old as his son. In 20 years the father will be twice as old as his son.. Find their present ages

stealth61 [152]

x = the age of his son now, then the age of the father is 4x.

In 20 years,

son's age = x + 20

father's age = 4x + 20

solve the equation for x:

4x + 20 = 2(x + 20)

4x + 20 = 2x + 40

2x = 20

x = 10

So the age of his son now is 10, and the age of the the father now is 40.

3 0

3 years ago

Read 2 more answers

Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form

Annette [7]

The equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

<h3>Solution:</h3>

Given that circle having center point (3,7) and the radius r = 4

To find: equation of circle in standard form

The equation of circle is given as:

$(x - h)^2 + (y - k)^2 = r^2$

Where center (h,k) and radius r units

Given that center point (h , k) = (3, 7) and radius r = 4 units

Substituting the values in above equation of circle,

$(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16$

Thus the equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

6 0

3 years ago

Pearl uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is

Ratling [72]

Answer:

She use 5.88 pints of white paint.

Step-by-step explanation:

Given:

Pearl uses 9.8 pints of blue paint and white paint to paint her bedroom walls. $\frac{2}{5}$ of this amount is blue paint, and the rest is white paint.