The midline of the sine function is 0. The +3 added to the sine function moves the midline of f(x) to f(x) = 3.
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You may be expected to write the equation as y = 3.
Y = -7x - 2
Use the two points given to find the slope (m)
m = (y2 - y1) / (x2 - x1)
m = ( 12-5 ) / (-2 - (-1))
m = -7
Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in.
Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'.
y = -7x + b
5 = -7(-1) + b
b = -2
Final eqn: y = -7x - 2
She spent $7.44 because 3.28 + 1.27 + 0.56 + 2.33 = 7.44
Shaun invested $176,250 into the new business.
Marcus invested half of the $940,000 so the amount that Shaun and Tristan invested is:
= 940,000 / 2
= $470,000
Shaun and Tristan invested in the ratio 3:5.
The amount that Shaun invested is:
<em>= (Ratio of Shaun / Sum of the ratios) x Amount both invested </em>
= (3 / (3 + 5 )) x 470,000
= 3/8 x 470,000
= $176,250
In conclusion, Shaun must have invested $176,250 into the business.
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