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MAVERICK [17]
2 years ago
10

Tyler needs at least $205 for a new video game system. he has already saved $30. he earns 7$ an hour at his job. write and solve

an inequality to find how many hours he will need to work to buy the system. interpret the solution. 
inequality:



interpretation:





solution:
Mathematics
2 answers:
saul85 [17]2 years ago
7 0

Answer:

he has to work for total 25 hours to buy the system

posledela2 years ago
4 0

Answer: 25 hours is the answer

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2 years ago
Require help with this question
user100 [1]
A) There are a number of ways to compute the determinant of a 3x3 matrix. Since k is on the bottom row, it is convenient to compute the cofactors of the numbers on the bottom row. Then the determinant is ...
  1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k

bi) Π₁ can be written using r = (x, y, z).
  Π₁ ⇒ 3x +2y +z = 4

bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
  Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
  Π₂ ⇒ 2x +3y -z = 5

c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.

A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.

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