Answer:
A
Step-by-step explanation:
49y² - x² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
49y² - x²
= (7y)² - x²
= (7y - x )(7y + x) → A
The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
<h3>Unit rate</h3>
Village market:
- Green beans = 5 cans
- Total cost = $3.70
Unit rate = Total cost / green beans
= 3.70 / 5
= $0.74 per can
Sam's club:
- Green beans = 10 cans
- Total cost = $5.90
Unit rate = Total cost / green beans
= 5.90/10
= $0.59 per can
Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.
Learn more about unit rate:
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Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.
