Answer:
a = 36, b = 54
Step-by-step explanation:
Since the terms are in arithmetic progression then there is a common difference d between consecutive terms , that is
b - a = 72 - b ( add b to both sides )
2b - a = 72 → (1)
and
a + b - 72 = b - a ( subtract b - a from both sides )
2a - 72 = 0 ( add 72 to both sides )
2a = 72 ( divide both sides by 2 )
a = 36
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Substitute a = 36 into (1) and evaluate for b
2b - 36 = 72 ( add 36 to both sides )
2b = 108 ( divide both sides by 2 )
b = 54
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Thus a = 36 and b = 54
The sequence is therefore 36, 54, 72, 90 , .....
Answer:
The vertex is the point 
Step-by-step explanation:
we know that
The general form of an absolute value equation is
The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h, and k, tell us how far the graph shifts horizontally and vertically
The vertex is the point (h,k)
we have
Rewrite the expression (3x+1)
substitute
therefore
The vertex is the point
see the attached figure to better understand the problem
$ 10
250 * 2 =300
5*2=10
So the answer is $ 10
Answer:
Yes, it is possible if the sweaters on sale are $7.40 each.
Step-by-step explanation:
The sweaters each cost $37. To purchase all four (for herself and 3 sisters) without a sale would be 4(37)= $148.
40% off the regular price would be 0.40(148)= $59.20 savings. She would spend 148-59.2= $88.80.
Is it possible to buy two regular price sweaters and two on sale for $88.80?
2(37)=$74. If we subtract from the sales total, 88.80-74=14.80. This means the two sweaters on sale must each be $7.40. It is possible to save 40%.
(4,-16) factor 3/4
3/4 ×4=3 , -16×3/4= -12
B' (3,-12)
