Find the domain of each rational expression. f(x)=5x-7/4

Answers

Answer 1

Answer: $f(x)=5x-(7)/(4)$

The function is defined for all real numbers x

D=R

Answer 2

Answer: $1)\ \ \ f(x)=5x- (7)/(4) \ \ \ \Rightarrow\ \ \ D_f=R\n\n2)\ \ \ f(x)= (5x-7)/(4) \ \ \ \Rightarrow\ \ \ D_f=R$

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A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was 18,400, find the discount and the new price

Answers

Answer: Discount Price = $1104

New Price = $17296

Step-by-step explanation:

Given : A used automobile dealership recently reduced the price of a used compact car by 6%, which can be written as 0.06.

The price of the car before discount was 18,400.

Formula for Discount = Discount percentage× Original price

Then , Discount = $0.06*18400=\$1104$

New Price after Discount = Original Price - Discount price

$=\$18,400-\$1104=\$17296$

Hence, Discount Price = $1104

New Price = $17296

6% of $18,400 = .06 x $18,400 or $1104 - that's the discount

$18,400
- 1,104
$17,296 - this is the new price after the discount

How do I solve for x in the equation 5^x=3125? Also in 5^x=1/125, 9^x=243, 4^x=1/32, and 3*2^x=96?

Answers

remember
if x^m=x^n and x=x, m=n
also
x^-m=1/(x^m)
(x^m)^n=x^(mn)

try to match bases

5^x=3125
5^x=5^5
x=5

5^x=1/125
1/125=1/(5^3)=5^-3
5^x=5^-3
x=-3

9^x=234
3^(2x)=3^5
2x=5
x=2.5

4^x=1/32
1/32=1/(2^5)=2^-5
2^(2x)=2^-5
2x=-5
x=-2.5

3*2^x=96
first divide both sides by 3
2^x=32
2^x=2^5
x=5

5^x=3125
x=5

5^x=1/125
x=-3

9^x=234
x=2.5

4^x=1/32
x=-2.5

3*2^x=96
x=5

5^x=1/125

Take log of both sides

log(5^x)=log(1/125)

x*(log(5))= log(1/125)

x= log(1/125)/ log(25)

x=-3

9^x= 243

Take log of both sides

log(9^x)= log(243)

x*(log(9))= log(243)

x= log(243)/ log(9)

x= 2.5

4^x= 1/32

Take log of

log(4^x)=log(1/32)

x*(log(4))=log(1/32)

x= log(1/32)/log(4)

x= -2.5

3*2^x=96

Divide both sides by 3 so we can make it more simply

3(2^x)/3= 96/3

2^x= 32

Take log of

log(2^X)=log(32)

x(log(2))= log(32)

x= log(32)/log(2)

x=5

As you can see, I only used a simple way for all of them.

I hope that's help:0

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?ik is either c or d

Answers

we have the function

$f(x)=20((1)/(4))^(x)$

we know that

In the equation of the exponential function of the form

$f(x)=a(b)^(x)$

a is the initial value

b is the base

x is the exponent

The initial value is the value of the function when the value of x is equal to zero

in this problem

for $x=0$

$f(0)=20((1)/(4))^(0)$

$f(0)=20(1)=20$

the initial value is the point $(0,20)$

therefore

the answer in the attached figure

The answer you are looking for is C. Hope this helps!

Fill in all the missing measures. Show your work.

Answers

Answer:

B= 180-63

= 117°

E= 117°

Alternating angles are equal

Complete the table for the equation of the line y = 3x - 1 X
f(x)
-1
0
2

Answers

Answer:

Step-by-step explanation:

Given the equation of a line expressed as y = 3x-1, we are to find y = f(x) for the following values of x in the table.

If y = 3x-1, then f(x) = 3

When x = -1

f(-1) = 3(-1)-1

f(-1) = -3-1

f(-1) = -4

Hence when x = -1, f(x) = -4

When x = 0

f(0) = 3(0)-1

f(0) = 0-1

f(0) = -1

Hence when x = 0, f(x) = -1

When x = 2

f(2) = 3(2)-1

f(2) = 6-1

f(2) = 5

Hence when x = 2, f(x) = 5

Final answer:

To complete the table for the equation of the line, substitute the given x-values into the equation and solve for y.

Explanation:

To complete the table for the equation of the line y = 3x - 1, we substitute the given x-values into the equation and solve for y. For x = -1, y = 3(-1) - 1 = -4. For x = 0, y = 3(0) - 1 = -1. And for x = 2, y = 3(2) - 1 = 5. Therefore, the completed table is:

x
f(x)

-1
-4

0
-1

2
5

Learn more about Equation of a line here:

brainly.com/question/33578579

#SPJ3

Half of a number decreased by 8 is -3

Answers

Answer: 10

Step-by-step explanation: work your way backwords. first add 8 to get 5. Then half is 1/2, so you then multiplt by 2. hope this helped! sorry for short explanation

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