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3 years ago

9

A 16oz. can of Creamy Corn sells for $1.09, while the 32oz. can is on sale for $1.89. How much would you save with the sale pric

e?

1 answer:

Reptile [31]3 years ago

4 0

80 cents Because $1.89 minus $1.09 equals 80 cents

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For which function is f(x) equal to f^1(x) ( answer choices in picture )

Sonja [21]

Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+6}{y-6}$

Rewrite in terms of 'y'. This gives,

$x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}$

The given function $y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}$

So, option A is incorrect.

Option B:

$f(x)=\frac{x+2}{x-2}\\y=\frac{x+2}{x-2}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+2}{y-2}$

Rewrite in terms of 'y'. This gives,

$x(y-2)=y+2\\xy-2x=y+2\\xy-y=2x+2\\y=\frac{2x+2}{x-1}$

The given function $y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}$

So, option B is incorrect.

Option C:

$f(x)=\frac{x+1}{x-1}\\y=\frac{x+1}{x-1}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+1}{y-1}$

Rewrite in terms of 'y'. This gives,

$x(y-1)=y+1\\xy-x=y+1\\xy-y=x+1\\y=\frac{x+1}{x-1}$

The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

$f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+5}{y-5}$

Rewrite in terms of 'y'. This gives,

$x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}$

The given function $y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}$

So, option D is incorrect.

Therefore, only option C is correct.

7 0

3 years ago

When Theresa got her puppy, it weighed 6 ponds less than 2/3 of its weight now. If the puppy weighed 4 pounds when she first rec

sesenic [268]

Answer:

15 lb

Step-by-step explanation:

let the current weight of the puppy be X, the initial weight of the puppy is 4lb or $\frac{2}{3}X-6\ lb$ , (6 lb less 2/3 X) .

#We equate the current weight to the initial weight to determine X:

$4\ lb=\frac{2}{3}X-6\ lb\\\\10 \ lb=\frac{2}{3}X\\\\X=15$

Hence, the current weight of the puppy is 15 lb

5 0

3 years ago

The retail price is the amount a merchant pays for the merchandise he sells

r-ruslan [8.4K]

If your asking if this is true or false I believe its false

4 0

3 years ago

Answer Part A and Part B for the triangle shown

Tom [10]

Answer:

for Part A

Answer is C.

Step-by-step explanation:

$\tan(a) = \frac{opposite}{adjacent } \\$

Here the angle, a is 60°, Opposite is 20 and adjacent is x.

Therefore we have,

$\tan(60 ) = \frac{20}{x}$

Making x the subject gives us

$x = \frac{20}{ \tan(60) }$

Part B

Value of x to the nearest tenth

$x = 11.547 \\ to \: the \: nearest \: tenth \\ x = 12$

5 0

2 years ago

23 × 32 is the prime factorization for which one of these choices?

forsale [732]

Hello.

Here's our explanation: First, you had to multiply line them up. $2*3=6$ , then 3*3=9. Bring down the zero, then multiply 2*2=4. And 3*2=6, which gives us equal to 640. Finally, add it up, 96+640=736. 736 is the final answer.

Hope this helps!

Thanks!

Have a great day!

7 0

3 years ago

Read 2 more answers