Answer: 1. d.
2. a. (5, 28)
3. a: C(n) = 0.90 n - 0.40
Step-by-step explanation:
1. Here x represents the saving of one day.
Thus, the total saving for 7 day = 7 x
And, my goal is to save at least $350.00 ( According to the question)
⇒
⇒ ( by dividing both sides by 7 )
Therefore, Option d is correct.
2. since, if a point satisfies an equation then we can say that it is the solution of the equation.
(5,28) satisfies y= 5x + 3
Because at x = 5, 5×5 + 3 = 25 + 3 = 28
except this point other points (28, 5), (4, 20) and (3, 19) are not satisfying given equation of line.
Therefore, only (5,28) is the solution of line.
⇒ Option a is correct.
3. Here n represents the number of tunas.
And, according to question the cost of one tuna = $0.90
⇒ Cost of n tunas = $ 0.90n
But again according to the question,
I have a coupon for $0.40 off your total purchase.
Thus, $ 0.40 will be less from my total purchasing cost.
⇒ The cost of n tunas = $ (0.90 n - 0.4)
Option a is correct.
Given equation:
i.e., and
and
i.e., and
and
i.e., and
and
Therefore, the given equation has a real root i.e.,
and two complex conjugate roots i.e., and
Hence, option C is correct.
Answer:
<h2>In the attachment.</h2>Step-by-step explanation:
Put each value of x from the set {2, 3, 4, 5, 6}
to the equation y = 2|x - 4| + 3:
x = 2 → y = 2|2 - 4| + 3 = 2|-2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (2, 7)
x = 3 → y = 2|3 - 4| + 3 = 2|-1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (3, 5)
x = 4 → y = 2|4 - 4| + 3 = 2|0| + 3 = 2(0) + 3 = 0 + 3 = 3 → (4, 3)
x = 5 → y = 2|5 - 4| + 3 = 2|1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (5, 5)
x = 6 → y = 2|6 - 4| + 3 = 2|2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (6, 7)
Mark the points in the coordinates system.
The domain is only five numbers, therefore the graph of this function is only five points.
