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WINSTONCH [101]

3 years ago

8

What is the graphical relationship between a functionand its inverse?

1 answer:

Sindrei [870]3 years ago

3 0

Answer:

The inverse function is the mirror image of the function around the line y=x.

Step-by-step explanation:

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Find the center and radius of the circle with the equation:

denpristay [2]

Answer:

It’s 14

Step-by-step explanation:

Just add

6 0

3 years ago

Four times the square of a certain number increased by 6 times the number equals 108.find the number

slamgirl [31]

To effectively determine the correct answer, it would be helpful to write this into an algebraic expression. We let x as the number. We do as follows:

<span>Four times the square of a certain number increased by 6 times the number equals 108.

4x^2 + 6x = 108

The numbers can be either of the following since the equation generated was a quadratic equation which has two roots.
x = 4.5
x = -6 </span>

5 0

3 years ago

Read 2 more answers

A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0

2 years ago

A man was found murdered on Sunday morning...? A man was found murdered on Sunday morning. His wife immediately called the polic

7nadin3 [17]

The maid. Mail is typically delivered on Sundays

8 0

3 years ago

Read 2 more answers

there are 20 children at a library 6 of the children have an average age of five years the remaining children have an average ag

Gelneren [198K]

20 total

6 have average of 5 years
6 x 5 = 30

20-6 = 14

14 have average of 8 years

14 x 8 = 112

112 + 30 = 142

142 / 20 = 7.1 years

8 0

3 years ago

Read 2 more answers