The question is as following:
<span>How does the graph of g(x)=1/x-5+2 compare to the graph of the parent function f(x)=1/x ?
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Solution :
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The given function ⇒
The parent function of the given function ⇒
By graphing both of the equations as shown in the attached figure.
So, we can conclude the following
<span>g(x) is shifted 5 units right and 2 units up from f(x).
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So, the correct answer is option 2<span />
Answer: a= 1.21
Step-by-step explanation:
Note: This is a compound interest problem
Step 1
The value of the antique after one year is:
100% + 10% of the purchase price
= 110% of 200
=110/100 of 200
=1.10 × 200
Step 2
The value after two years is:
110% of the value after one year
=110% of (1.10 × 200)
=110/100 of (1.10× 200)
=1.10×(1.10×200)
=1.21×200
Step 3
Expressing the above solutionin the form 200a:
= 200× a = 200 × 1.21
|a=1.21
Thanks
Solution:
Consider the Given Isosceles Triangle
Considering the Possibilities
Case 1. When two equal angles are of 70°
Let the third angle be x.
Keeping in mind , that sum of Interior angles of Triangle is 180°.
70° + 70° + x= 180°
140° +x= 180°
x= 180°- 140°
x= 40°
Case 2:
When an angle measures 70°, and two equal angles measure x°.
Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.
70° + x° + x° = 180°
⇒ 70° + 2 x° = 180°
⇒ 2 x° = 180° - 70°
⇒ 2 x° = 110°
Dividing both sides by 2, we get
x= 55°
Choices:
(7, 44)
(8, 48)
(9, 52)
(12, 74)
<span>(13, 78)
r = 6t
(7,44) : r = 6(7) = 42 incorrect
(8,48) : r = 6(8) = 48 CORRECT
(9,52) : r = 6(9) = 54 incorrect
(12,74) : r = 6(12) = 72 incorrect
(13,78) : r = 6(13) = 78 CORRECT
The points that lie on the resulting line are (8,48) and (13,78)</span>
We can let r be the number of food tickets and f be the number of food tickets.
Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities:
(1) 4r + 2f ≤ 40 and
(2) r + f ≥ 16
Multiplying -2 in (2), we have
4r + 2f ≤ 40
-2r - 2f ≤ 32
Adding both inequalities,
2r ≤ 8
r ≤ 4
Since r must be less than or equal to 4.Thus the answer is <span>A.</span>
