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Darya [45]
3 years ago
6

I need help with this

Mathematics
1 answer:
UNO [17]3 years ago
4 0

Step-by-step explanation:

Total number of people = 60

Ratio of men to women = 1:2

Total ratio of men to women or Total parts = 1 + 2 = 3 parts

Number of men = 1/3 × 60

Number of men = 20 men

Given number of men who passed = 17 men

Therefore number of men who failed = 20 - 17

number of men who failed = 3 men

Number of women = 2/3 × 60

Number of women = 40 women

Number of people who failed = 1/5 × 60

Number of people who failed = 12 people

And number of women who failed = 12 - 3

number of women who failed = 9 women

Number of women who passed = 40 - 9

Number of women who passed = 31 women

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<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

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Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\

         vertex = (1, -4)                2nd point (y-intercept) = (0, -3)


<em>see attached</em> - the graphs intersect at two points:  (-2, 5) and (2, -3)


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