Answer:
D
Step-by-step explanation:
Given
C = 2πr ( isolate r by dividing both sides by 2π )
= r → D
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Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em><em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: ,
,
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
First, we have to understand the slope-intercept form.
A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.
In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.
<em>W</em><em>h</em><em>i</em><em>c</em><em>h</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>r</em><em>e</em><em>p</em><em>r</em><em>e</em><em>s</em><em>e</em><em>n</em><em>t</em><em>s</em><em> </em><em>a</em><em> </em><em>l</em><em>i</em><em>n</em><em>e</em><em>a</em><em>r</em><em> </em><em>f</em><em>u</em><em>n</em><em>c</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>h</em><em>a</em><em>s</em><em> </em><em>a</em><em> </em><em><u>s</u></em><em><u>l</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>o</u></em><em><u>f</u></em><em><u> </u></em><em><u>5</u></em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>a</em><em> </em><em><u>y</u></em><em><u>-</u></em><em><u>i</u></em><em><u>n</u></em><em><u>t</u></em><em><u>e</u></em><em><u>r</u></em><em><u>c</u></em><em><u>e</u></em><em><u>p</u></em><em><u>t</u></em><em><u> </u></em><em><u>o</u></em><em><u>f</u></em><em><u> </u></em><em><u>-</u></em><em><u>6</u></em><em><u>.</u></em>
As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.
Therefore, substitute m = 5 and b = -6 in the equation.
I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!