The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Hardcover books cost $5 each and paperbacks cost $2 each.
The number of hardcover books is x while paperbacks are y
Thus,
Total cost = 5x + 2y
5x + 2y ≤ 20
The x and y is the whole number so they will never be negative or in fractions.
Therefore, The pair which satisfies the above expression is (2,5) and (0,10).
Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".
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Answer:
(0,10)
Step-by-step explanation:
All of the other answers dont make sense or are false so it makes (0,10) the only correct answer.
a = 4i + 3j, b = -4i + 4j
The required dotproduct of the given vector is given as -4.
Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.
The dot × of twovectors is described as the sum of the products of the relevant directionalvector.
Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4 (since i.j or j.i for dot product gives zero.)
Thus, the required dotproduct of the given vector is given as -4.
Learn more about dot product here:
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Answer:
yes
Step-by-step explanation:
12/99=121212, so yes
12/100= 0.12, nope
12/90=0.13131, nope
4/33=0.121212, so yes
3/25=0.12, nope
4/30=0.131313, so nope
in conclusion, you are correct