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Sedbober [7]
3 years ago
15

If h (x) = {(-2,3), (0,4), (1,6), (2, 9)} then what set of values represent h-1 (x) ?

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

Answer:

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

Step-by-step explanation:

Given: h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

To find: h^{-1}(x)

Solution:

A relation is said to be a function if each and every element of the domain has a unique image in the co-domain.

Inverse of a function exist if it is both one to one and onto.

h(x)=\{(-2,3),(0,4),(1,6),(2,9)\}

h^{-1}(x)=\{(3,-2),(4,0),(6,1),(9,2)\}

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6 0
1 year ago
Tasha invests $5,000 annually at 6% and an additional $5,000 annually at 8%. Thomas invests $10,000 annually at 7%. Which statem
Setler79 [48]

Answer:

B is correct.

Step-by-step explanation:

Compound Interest Formula:

V(t)=P(1+\frac{r}{n})^{nt}

Tasha invests in two ways

Case 1:

  • Principal P=$5,000
  • Rate of Interest r=0.06
  • Time t=t
  • n=1

V(t)=5000(1+0.06)^t

V(t)=5000(1.06)^t

Case 2:

  • Principal P=$5,000
  • Rate of Interest r=0.08
  • Time t=1
  • n=1

V(t)=5000(1+0.08)^t

V(t)=5000(1.08)^t

Total amount yield by Tasha = 5000[(1.06)^t+(1.08)^t]

Thomas Investment

  • Principal P=$10,000
  • Rate r= 0.07
  • t=t
  • n=1

Total amount yield by Thomas = 10000(1.07)^t

Now we make table for Tasha and Thomas different value of t

    t                  Tasha                  Thomas

   1                  $10,700                 $10,700  

   2                 $11,450                  $11,449

   3                 $12,254                 $12,250

   4                 $13,115                  $13,108

In table we can see Tasha investment will yield more from Thomas.

Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

8 0
3 years ago
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Tasya [4]

Answer: 2/3, 1/2, 5/8,7/11

Step-by-step explanation: usually the smaller your denominator is the larger your fraction. You also have to look at the numerator and somewhat visualize what it would look like. Such as 2/3 is larger than 1/2 because 1/2 of 3 is 1.5 so since 2 is larger than 1.5 you can say 2/3 is larger

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6 0
3 years ago
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Answer:

The product represent the number 3\times 0.3=0.9

Step-by-step explanation:

To find : The decimal 0.3 represents What type of number best describes 0.9, which is 3.0.3?

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If we multiply 0.3 by 3 we get 0.9

As, 3\times 0.3=3\times \frac{3}{10}

3\times 0.3=\frac{9}{10}

3\times 0.3=0.9

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