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Andrej [43]
2 years ago
8

Given the function ƒ(x) = x 2 - 4x - 5

Mathematics
1 answer:
nordsb [41]2 years ago
3 0

Answer:

Zeros of the given function are x=5 and x=-1.

Step-by-step explanation:


f(x)=x^2-4x-5

f(x)=x^2+1x-5x-5

f(x)=x(x+1)-5(x+1)

f(x)=(x-5)(x+1)

To find zeros, we need to set f(x)=0

0=(x-5)(x+1)

0=(x-5) or 0=(x+1)

0=x-5 or 0=x+1

5=x or -1=x


Hence zeros of the given function are x=5 and x=-1.


We can plug some random numbers like x=0,1,2,... into given function to find few points then graph those points and join them by a curved line.

That will give the final graph as attached below:

for x=0,

f(x)=x^2-4x-5

f(0)=0^2-4(0)-5

f(0)=0-0-5

f(0)=-5

Hence first point is (0,-5)

Similarly we can find more points.


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From the information given you know:
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So: 0.02 + loss + 0.8 = 1 
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2 years ago
"a u.S. 1-cent coin (a penny) has a diameter of 19 mm and a thickness of 1.5 mm". Assume the coin is made of pure copper, whose
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<u>the question is </u> Calculate the value of the copper in the coin

Step 1

Find the volume of the coin

we know that

the volume of a cylinder is equal to

V=\pi r^{2}h

where

r is the radius of the coin

h is the thickness of the coin

in this problem we have

Diameter=19 mm=1.9 cm

r=D/2------> r=1.9/2=0.95 cm

h=1.5 mm=0.15 cm

substitute the values in the formula

V=\pi*0.95^{2}*0.15=0.425\ cm^{3}

Step 2

<u>Find the mass of copper in the coin</u>

we know that

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Density=mass/volume

Solve for the mass

mass=Density*volume

we have

Density=8.9\ gr/cm^{3}\\Volume=0.425\ cm^{3}

substitute in the formula

mass=8.9*0.425=3.785\ gr

Step 3

<u>Find the cost</u>

we know that

the market price of the copper is $2.15 per pound

1 pound=453.592 grams

convert gram to pounds

3.785 gr=3.785/453.592=0.0083 pounds

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<u>the answer is</u>

$0.02

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      _

Step-by-step explanation:

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vesna_86 [32]
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Answer:

54

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