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2 years ago

F (x)=5x+1 9(x)=-2x+15

Mathematics

1 answer:

german2 years ago

4 0

Answer:

x = 0

Step-by-step explanation:

(x)=5x+19(x)=-2x+15

We move all terms to the left:

(x)-(5x+19(x))=0

We add all the numbers together, and all the variables

x-(+24x)=0

We get rid of parentheses

x-24x=0

We add all the numbers together, and all the variables

-23x=0

x=0/-23

x=0

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A square with side of 10 has area of 100. <br> a. True<br> b. False

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2 years ago

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Mr. Barber uses 7/9 yard of wire to put up a ceiling fan. He uses 1/3 yard of wire to fix a switch How much more wire does he us

Oliga [24]

1/3 is the same as 3/9. To solve this, subtract 3/9 from 7/9.

$\frac{7}{9}-\frac{3}{9}= \frac{4}{9}$

Your answer is $\frac{4}{9}$

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3 years ago

Which function has an inverse function?

daser333 [38]

Answer: Option B

Step-by-step explanation:

By definition, only those functions that are one to one have an inverse function.

A function is one by one if there are not two different input values, $x_1$ and $x_2$ , that have the same output value y

Note that the function $f(x)= \frac{|x+3|}{5}$ is not a one-to-one function

When x=2 $f(x)= \frac{|2+3|}{5}=1\ ,\ \ y=1$

When x=8 $f(x)= \frac{|-8+3|}{5}=1\ \ ,\ y=1$

Note that the function $f(x)= \frac{x^4}{7}+ 27$ is not a one-to-one function

When x=1 $f(x)= \frac{(1)^4}{7}+27\ ,\ \ y=\frac{190}{7}$

When x=-1 $f(x)= \frac{(-1)^4}{7}+27\ ,\ \ y=\frac{190}{7}$

Note that the function $f(x)= \frac{1}{x^2}$ is not a one-to-one function

When x=1 $f(x)= \frac{1}{(1)^2}\ ,\ \ y=1$

When x=-1 $f(x)= \frac{1}{(-1)^2}\ ,\ \ y=1$

Then the answer is the option B.

You can verify that The function $f (x) = x ^ 5-3$ is a one-to-one function and therefore its inverse is a function

5 0

2 years ago

Can y’all plz help and thank you. Aslo hope y’all have a wonderful and beautiful day.

stepan [7]

Answer:

a) Rumble: $1

Pedal: $0.6

b) more than 5 songs

c) No, should be integers only

d) No, has to be integers greater than or equal to 2

Step-by-step explanation:

Part a

Rate per song is the slope.

Rumble:

Slope is 0.6

Rate is $0.6 per song

Pedal:

Slope: (4-2)/(2-0) = 1

Rate is $1 per song

Part b

Pedal would be a better deal if it's cost is lower than Rumble's

Rumble's cost: C = 2 + S

Pedal's cost: C = 4 + 0.6S

4 + 0.6S < 2 + S

0.4S > 2

S > 5

c) No, because no. of songs has to be positive integers only.

For example graph shows S = 2.5, but we know that's not possible

d) No, since the cost is 2 + S,

cost can't be in decimals either.

Cost too should be only integers greater than equal to 2

7 0

2 years ago

Simplify the following rational expression and express in expanded form.

VladimirAG [237]

Answer:

D m = $-\frac{3}{8}$

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> $\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}$

=> $-\frac{2m + 1}{8m + 3}$

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> $-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}$ = $-\frac{2m + 1}{-3 + 3}$ = $-\frac{2m + 1}{0}$

in this case, the values of m from option D make the denominator of the fraction equals 0.

6 0

2 years ago