Answer:
(a)
A single avocado costs $1
A single tomato costs $0.5
(b)
An avocado costs twice as much as a tomato
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Step-by-step explanation:
Represent the tomatoes with T and the avocados with A.
So, we have:
--- (1)
--- (2)
Solving (a): The price of each
Multiply (1) by 1.5
--- (3)
Subtract (3) from (2)
Divide both sides by 2
Substitute 1 for A in (1)
Make 4T the subject
Divide both sides by 4
Solving (b): Analysis
In (a), we have:
<em>We can say that an avocado costs twice as much as a tomato</em>
Answer: Its the second one.
Step-by-step explanation:
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)
1.
t - time Molly at the gym (in hour)
t ≤ 2
2.
x - money that Mishenko has to save this month (in $)
x ≥ 300
D, six units to the right. This is the answer because the pre-image is six to the left of the newest image. Just count the spaces away!