Pls help me ima mark BRAINLIST

Mathematics

2 answers:

makkiz [27]3 years ago

7 0

Answer:

Step-by-step explanation:

Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.

We can just put this number into the equation:

y=1.5(16)-1

y=24-1

y=23

blsea [12.9K]3 years ago

3 0

Answer:

24.5

Step-by-step explanation:

Year 2000 would be 1, so year 2016 would be 17

Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:

1.5(17) - 1

25.5 - 1

24.5 is our estimated population using the line of best fit.

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Find a fraction equivalent to 5/7 whose squared terms add up to 1184.

bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}$

The fraction that satisfies the request is $\bf{\dfrac{20}{28}}$ , since in $\bf{\dfrac{-20}{-28}}$ the negative signs are canceled and the first fraction is obtained.