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melamori03 [73]
3 years ago
11

7p − p = 18 2) −5n − 4n = −9

Mathematics
2 answers:
Savatey [412]3 years ago
6 0

Answer:

<h3>\boxed{ \bold{ \sf{ \boxed{ p = 3}}}}</h3>

\boxed{ \bold{ \sf{ \boxed{n = 1}}}}

Step-by-step explanation:

1. \sf{7p - p = 18}

Collect like terms

⇒\sf{6p = 18}

Divide both sides of the equation by 6

⇒\sf{ \frac{6p}{6}  =  \frac{18}{6} }

Calculate

⇒\sf{p = 3}

2. \sf{ - 5n - 4n =  - 9}

Collect like terms

⇒\sf{ - 9n =  - 9}

Divide both sides of the equation by -9

⇒\sf{ \frac{ - 9n}{ - 9}  =  \frac{ - 9}{ - 9} }

Calculate

⇒\sf{n = 1}

Hope I helped!

Best regards!!

marishachu [46]3 years ago
4 0
Answer: p = 3 , n = 1
Step by step explanation
7p-p = 18
6p = 18
p = 3
Finding n
-5n-4n = (-9)
-9n = (-9)
n = -9/-9
n = 1
Hope it helped comment below!,
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A population is growing continuously at a rate of 5%. If the population is now 3400, what will it be in 17 years? Round to the n
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Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

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A = P(1+r)^t

Where:

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P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

A = 3400 \times (1+0.05)^{17} = 7792.86

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

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anyanavicka [17]

ANSWER

x  =  2 \: \: or \:  \:  x  =  15

Or

x  =   - 2 \: \: or \:  \:  x  =   -  15

EXPLANATION

The given polynomial is

f(x) = {x}^{2}  + kx + 30

where a=1,b=k, c=30

Let the zeroes of this polynomial be m and n.

Then the sum of roots is

m + n =  -  \frac{b}{a}  =  -k

and the product of roots is

mn =  \frac{c}{a}  = 30

The square difference of the zeroes is given by the expression.

( {m - n})^{2} =  {(m + n)}^{2} - 4mn

From the question, this difference is 169.

This implies that:

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k^{2} = 289

k=  \pm \sqrt{289}

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We substitute the values of k into the equation and solve for x.

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f(x) = (x  \pm2)(x  \pm 15)

The zeroes are given by;

(x  \pm2)(x  \pm 15) = 0

x  =  \pm2 \: \: or \:  \:  x  =  \pm 15

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