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3 years ago

15

If f(x)= -3x + 1, then f^-1(x)=

1 answer:

UNO [17]3 years ago

8 0

Answer:

f^-1(x) = (x-1)/-3

Step-by-step explanation:

Invert equation:

Describe X in original function:

multiplied by -3

add 1

Reverse order:

subtract 1

divide by -3

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How to answer this question??? <br>thanks

vesna_86 [32]

$\dfrac{2m}{5}+3=7(4m-3)\ \ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\\dfrac{2m}{5}+3=28m-21\ \ \ \ \ |multiply\ both\ sides\ by\ 5\\\\2m+15=140m-105\ \ \ \ |subtract\ 140m\ from\ both\ sides\\\\-138m+15=-105\ \ \ \ |subtract\ 15\ from\ both\ sides\\\\-138m=-120\ \ \ \ |divide\ both\ sides\ by\ (-138)\\\\m=\dfrac{120:6}{138:6}\\\\\boxed{m=\frac{20}{23}}$

7 0

3 years ago

Jesse takes his dog and cat for their annual vet visit.Jesse's dog weighs 23 pounds.The vet tells him his cat's weight is 5/8 as

Kobotan [32]

If I’m not mistaken the cats weight is 14.4

5 0

3 years ago

A box contains 3 plain pencils and 5 pens. A second box contains 2 color pencils and 2 crayons. One item from each box is chosen

babymother [125]

Answer

5/8 and 1/2

Step-by-step explanation:

3 0

4 years ago

Someone please help. i will mark as brainliest if right :)

DIA [1.3K]

Answer:

The other factor is 5x-2

Step-by-step explanation:

Using the factorisation method:

Two numbers that multiply to give -10 and add to give +3:

+5 and -2

$5x^{2} +5x-2x-2$

$5x(x+1) -2(x+1)$

$(x+1)(5x-2)$

So the other factor is 5x-2

I'm not sure about the second part of the question but I hope you understood how to deal with the first part.

5 0

2 years ago

The yield of orange trees is reduced if they are planted too close together. If there are 30 trees per acre, each tree produces

Tanya [424]

Answer:

5 more than 30 trees should be planted, for a total of 40 trees per acre.

Step-by-step explanation:

Let x be the number of trees beyond 30 that are planted on the acre

The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)

We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree

So, number of oranges produced = $(30 + x)(400 -10x)$

= $12000 -300x+400x-10x^2$

= $12000 + 100x-10x^2$

The derivative Oranges'(x) = 100-20x

Substitute first derivative equals to 0

$100-20x =0$

$x=5$

Using the second derivative test,

Oranges"(x) = -20

20 is negative,

So, this is the case of maximum.

Thus, 5 more than 30 trees should be planted, for a total of 40 trees per acre.

4 0

3 years ago