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Mumz [18]
3 years ago
5

Please help with this algebra!! I’m

Mathematics
1 answer:
stiks02 [169]3 years ago
7 0

Answer:

(-4, -1)

Step-by-step explanation:

x = 4y

-4x - y = 17

Plug in 4y for x in the second equation:

-4(4y) - y = 17

Simplify. Remember to follow PEMDAS. Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.

First, multiply 4y with -4:

-4(4y) = -16y

-16y - y = 17

Simplify. Combine like terms:

-16y - y = 17

-17y = 17

Isolate the variable, y. Divide -17 from both sides:

(-17y)/-17 = (17)/-17

y = 17/-17

y = -1

Plug in -1 for y in the first equation:

x = 4y

x = 4(-1)

x = -4

x = -4, y = -1

Answer: (-4, -1)

~

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Vladimir79 [104]

Answer: The required function is,

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Step-by-step explanation:

Since, the population which is increasing with the constant factor is,

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b is the growth factor per period,

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Here, the given function that represents the mosquito population after x years,

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Where, 7 is the growth factor per year,

Since, 12 months = 1 year,

2 month = 1/6 year.

Also, we can write,

582(7)^x=582(7)^{\frac{1}{6}\times 6x}=582(7^\frac{1}{6})^{6x}

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Which is the required equivalent function that shows the population of mosquito is increasing in every 2 month by the growth factor 7^\frac{1}{6}.

6 0
3 years ago
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute.
creativ13 [48]

According to the given table the line of best fit is

f(x)=4.54x+77.84

The term "line of best fit" describes a line that passes across a scatter plot of data points and best captures their connection. Statisticians often utilise regression analysis software or manual computations to arrive at the geometric equation for the line using the least squares approach. A straightforward linear regression study of two or more independent variables will provide a straight line. 

Hence, as asked by the question we need to find the time at which the tempurature will become 100°C.

To find that let us put f(x)=100 and find out the value of x for which it is satisfied.

4.54x+77.84=100

⇒x=\frac{100-77.84}{4.54}=4.88

⇒x≈5

Therefore the time at which the tempurature is 100°C is 5 minutes.

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4 0
2 years ago
How do i sketch y=(7/2)(x)-2 on a graph
Goryan [66]
The base equation is y=mx +b, m is the number before x is always the rise over run while b is the y-intercept. What this means is that first you go to -2 in the y-line (vertical line) then you rise 7 up and go 2 across. Hope this helps =)
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3 years ago
ΔTIC is an isosceles triangle with vertex angle I. Find the measures of the base angles of ΔTIC if m∠I = 100º.
Temka [501]
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7 0
4 years ago
In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

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A population growth is an exponential growth and is modeled by the following function:

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Taking log on both sides, we get:

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Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
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