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Mrrafil [7]
3 years ago
9

Find the zeros of the function. f(x) = 9x^3 + 18 x^2 - 135x

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
Where f(x)=0 is the zeros of the funciton

factor out the common factor of all of them which is 9x
f(x)=9x(x^2+2x-15)
what 2 numbers multiply to get -15 and add to get 2?
5 adn -3

f(x)=(9x)(x+5)(x-3)
set to zero
9x=0
x=0

x+5=0
x=-5

x-3=0
x=3

zeroes at x=-5, 0,3
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g100num [7]
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3 years ago
Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults. The number of adult tickets sold was 195 more than the n
Maurinko [17]

Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

3x + 5x + 975= 3943

8x +975=3943

8x = 3943-975= 2968

x = 2968/8 = 371

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4 0
3 years ago
A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.
avanturin [10]

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

$16.50.

We want to find the probability that the plumber earns between $135 and

$175 on a given day, if the daily earnings follow a normal distribution.

That is we want to find P(135 <X<175).

Let us convert to z-scores using

z =  \frac{x -  \mu}{ \sigma}

This means that:

P(135  \: <  \: X  \: <  \: 175) = P( \frac{135 - 145}{16.5}  \: <  \:  z \:  <  \frac{175 - 145}{ 16.5} )

We simplify to get:

P(135  \: <  \: X  \: <  \: 175) = P(  - 0.61\: <  \:  z \:  <  1.82 )

From the standard n normal distribution table,

P(z<1.82)=0.9656

P(z<-0.61)=0.2709

To find the area between the two z-scores, we subtract to obtain:

P(-0.61<z<1.82)=0.9656-0.2709=0.6947

This means that:

P(135  \: <  \: X  \: <  \: 175) =0.69

The correct choice is C.

7 0
3 years ago
System of Equations<br><br> y=-x-1<br> y+x=3<br><br> Solve?
ozzi
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<span>One pair of metric unit of length would be meters and kilometers. 1 km is equal to 1000 meters. Metric system is the official/standard in measuring length, mass, area, volume, speed, etc. and it is the agreed system of measurement.</span>

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