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2 years ago

How many solutions does 17.75x + 24 = 18.95x + 18 have?

Mathematics

1 answer:

iren2701 [21]2 years ago

3 0

Answer: Simplifying

17.75x + 24 = 18.95x + 18

Reorder the terms:

24 + 17.75x = 18.95x + 18

Reorder the terms:

24 + 17.75x = 18 + 18.95x

Solving

24 + 17.75x = 18 + 18.95x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18.95x' to each side of the equation.

24 + 17.75x + -18.95x = 18 + 18.95x + -18.95x

Combine like terms: 17.75x + -18.95x = -1.2x

24 + -1.2x = 18 + 18.95x + -18.95x

Combine like terms: 18.95x + -18.95x = 0.00

24 + -1.2x = 18 + 0.00

24 + -1.2x = 18

Add '-24' to each side of the equation.

24 + -24 + -1.2x = 18 + -24

Combine like terms: 24 + -24 = 0

0 + -1.2x = 18 + -24

-1.2x = 18 + -24

Combine like terms: 18 + -24 = -6

-1.2x = -6

Divide each side by '-1.2'.

x = 5

Simplifying

x = 5

Step-by-step explanation:

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2 years ago

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3 years ago

If f(x)= 3x squares +1 and g(x) =1-x what is the value of (f-g)(2)

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Answer: (f-g)(2)=14

Step-by-step explanation:

(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.

Method 1

f(2)=3(2)²+1 [exponent]

f(2)=3(4)+1 [multiply]

f(2)=12+1 [add]

f(2)=13

g(2)=1-(2) [subtract]

g(2)=-1

(f-g)(2)=13-(-1) [subtract f(2) and g(2)]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Method 2

(f-g)(x)=3x²+1-(1-x) [distribute -1]

(f-g)(x)=3x²+1-1+x [combine like terms]

(f-g)(x)=3x²+x

(f-g)(2)=3(2)²+2 [plug in x=2, exponent]

(f-g)(2)=3(4)+2 [multiply]

(f-g)(2)=12+2 [add]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Now, we know that (f-g)(2)=14. We confirmed this with both methods.

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