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Write the divide fraction horizontally:
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Factorise the numerators and denominators when possible:
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Convert the divide fraction to multiplication fraction
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Cancel the factors
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Combine to single fraction
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So first we need to find what percent of the students walk to school.
50 + 35 = 85% don't walk leaving only 15% that walk to school,
To find the 15% percent that DO walk we multiply .15 by the total number of people.
.15 x 1640 = 246 people walk to school
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
Answer:
For the first one, you go from -4 on the number line and move 2 spaces to the right to get -2. For the second one, you start at -4 again and then you move to the left 2 spaces since your subtracting.
Step-by-step explanation:
-viridiancat4, an 8th grader :)