The complete time is the sum of time taken on each lap. We translate the two statements into mathematical expressions to determine the required output:

(i) <em>She completes her first lap in 31.135 seconds</em>:

$x_{1} = 31.135\,s$

(ii) <em>She completes her second lap 3.129 seconds faster than the first lap</em>:

$x_{2} = x_{1}-3.129\,s$

$x_{2} = 31.135\,s - 3.129\,s$

$x_{2} = 28.006\,s$

Then, the time taken by Larissa to complete both laps is:

$\Delta x = x_{1} + x_{2}$

$\Delta x = 31.135\,s+28.006\,s$

$\Delta x = 59.141\,s$

Larissa takes 59.141 seconds to complete both laps.

4 0

3 years ago

Find the area of each trapezoid.

VMariaS [17]

I can not see the trapezoid

5 0

3 years ago

A management company opens a large apartment complex in anticipation of growth in the community. The company compiles statistics

bezimeni [28]

The equation is given to us in slope intercept form. -34.85 is the slope and the y-intercept is 938.

Therefore, we can say:
The rate of change for the line of best fit is -34.85 which represents the decrease in number of available apartments per week since the complex opened.
The y-intercept is 938 which represents the number of apartments when it first opened.

7 0

3 years ago

Answer for the square root(5x-9)+1=x

Evgen [1.6K]

$\bf \sqrt{5x-9}+1=x\implies \sqrt{5x-9}=x-1\implies 5x-9 = (x-1)^2 \\\\\\ 5x-9=\stackrel{\mathbb{FOIL}}{x^2-2x+1}\implies 5x=x^2-2x+10\implies 0=x^2-7x+10 \\\\\\ 0=(x-5)(x-2)\implies x= \begin{cases} 5\\ 2 \end{cases}$

8 0

3 years ago

What is the solution to the system of equations? y= -5x + 3 y=1​

What is the solution to the system of equations? y= -5x + 3 y=1