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dybincka [34]
3 years ago
14

If f(x)=3x+7, which of these is the inverse of f(x)

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

f^(-1)(x)=(x-7)/3

Step-by-step explanation:

f(x) = 3x+7

(f(x)-7) = 3x

f^(-1)(x)=(x-7)/3

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Lisa wants to use her calculator to square a two-digit positive integer, but she accidentally enters the tens digit incorrectly.
Svetradugi [14.3K]

Answer: Correct two digit number= 24

Step-by-step explanation:

Let

x= tens digit (wrong one)

and y= zeroes digit

and z= tens digit (right one)

Now according to the statement,

(10x+y)² -  (10z+y)² = 2340

Simplifying this we get

(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13

So it could either be

x-z=1 or x-z=3

If we take the x-z=1

then 5x+y+5z=117

which is not possible as maximum value we can get from this is 99.

This leaves us with x-z=3

so 5x+y+5z= 39

Put x=3+z

We get,

y+10z= 24

Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.

Put z=2 in x=3+z , we get x=5

So the numbers become 10x+y= 54

and 10z+y= 24

Their sum is 54+24=78

Check

54²-24²= 2340 so it is correct.

7 0
2 years ago
What is 2 3/5 multiplied by 2 as a mixed number or fraction
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Answer:

5 1/5

Step-by-step explanation:

2 3/5 * 2= 5 1/5


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Line segment AB has vertices A(-3, 4) and B(1, -2). A dilation centered at the orgin is applied to AB. The image has vertices A(
bixtya [17]

Answer:

option 2

Step-by-step explanation:

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since the dilatation is centred at the origin, then corresponding coordinates are multiples/ divisors of each other, then image to original gives scale factor.

scale factor = \frac{A'}{A} = \frac{-1}{-3} = \frac{1}{3} and \frac{\frac{4}{3} }{4} = \frac{1}{3}

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\frac{\frac{1}{3} }{1} = \frac{1}{3} and \frac{-\frac{2}{3} }{-2} = \frac{1}{3}

4 0
1 year ago
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Answer:

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Step-by-step explanation:

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