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Ksju [112]
3 years ago
6

I need it fast Find the value​

Mathematics
2 answers:
Oksana_A [137]3 years ago
7 0

Answer:

z = 4, x = 6

Step-by-step explanation:

(a)

\frac{5z+1}{3} = 7 ( multiply both sides by 3 to clear the fraction )

5z + 1 = 21 ( subtract 1 from both sides )

5z = 20 ( divide both sides by 5 )

z = 4

(b)

\frac{5x}{3} + 3 = x + 7 ( multiply through by 3 to clear the fraction )

5x + 9 = 3x + 21 ( subtract 3x from both sides )

2x + 9 = 21 ( subtract 9 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

-Dominant- [34]3 years ago
5 0

Answer:

a)7

b)x=6

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

You see every week there is an increase of 9, and it starts at 5. That's all you need to know for a linear equation.

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Answer:

128

Step-by-step explanation:

Quotient means to divide. So i.e you want to work out 640÷5.

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4 years ago
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
KonstantinChe [14]

Using an exponential function, the inequality is given as follows:

9400(0.857)^t < 6000

The solution is t > 2.9, hence the tax status will change within the next 3 years.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

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  • r is the decay rate, as a decimal.

For this problem, the parameters are given as follows:

A(0) = 9400, r = 0.143.

The population after t years is modeled by:

A(t) = A(0)(1 - r)^t

A(t) = 9400(1 - 0.143)^t

A(t) = 9400(0.857)^t

The tax status will change when:

A(t) < 6000

Hence the inequality is:

9400(0.857)^t < 6000

Then:

(0.857)^t < \frac{6000}{9400}

\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}

t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}

Since both logs are negative:

t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}

t > 2.9.

The solution is t > 2.9, hence the tax status will change within the next 3 years.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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Firdavs [7]

Answer:

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I hope that helped! :)

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