Answer:
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Step-by-step explanation:
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Hello! The answer to your question would be as followed:
<u><em>4.98 x 10^5 </em></u>
Answer:
61-4g
Step-by-step explanation:
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Answer: Tom will pay $20.01 lesser than the original price.
Step-by-step explanation:
The original price of the phone is $137.99. It is now on sale for 1/10 off the original price. This means that the discount on the original price is 1/10 × 137.99 = 13.799. The new price will be the original price - the discount.
The new price is 137.99 - 13.799 = $124.191
Tom has a coupon for an extra 5% off the sale price. It means that Tom would pay 5% off $124.191. The amount that Tom would pay will be
124.191 - (5/100 × 124.191) = 124.191 - 6.20955 = $117.98
The difference between the original price and the price that Tom will pay is
137.99 - 117.98 = $20.01
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Answer:
10. (x, y) = (-3/8, 2 9/16)
11. k = -1
Step-by-step explanation:
10. The value of x at the vertex is ...
x = -b/(2a)
x = -(-3)/(2(-4)) = -3/8
The corresponding value of y is ...
y = 2 +(-3/8)(-3 +(-3/8)(-4)) = 2 +(-3/8)(-3/2) = 2 +(9/16)
The vertex is (x, y) = (-3/8, 2 9/16).
__
11. The discriminant is zero when the roots are equal.
b² -4ac = 0
(k-1)² -4(1)(-k) = 0
k² -2k +1 +4k = 0
k² +2k +1 = 0 . . . . . collect terms
(k +1)² = 0 . . . . . . . . write as a square
k = -1 . . . . . . . . . . . . the value of k that satisfies
<em>Check</em>
x² -2x +1 = (x -1)² = 0 . . . . has equal roots: x=1.