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2 years ago

Which terms in the following expression are like terms?

Mathematics

1 answer:

Alinara [238K]2 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

Like terms have the same variable(s) to the same power(s).

The terms of this expression are ...

x^3: variable x, power 3
5x: variable x, power 1
-3x: variable x, power 1
3y: variable y, power 1
4: no variable
-1: no variable

The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.

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3 years ago

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3 years ago

Read 2 more answers

Evaluate the function rule for the given value. f(x)=3^x for x=-5

FromTheMoon [43]

Answer:

$\frac{1}{243}$

Step-by-step explanation:

using the rule of exponents

$a^{-m}$ ⇔ $\frac{1}{a^{m} }$

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3 years ago

What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1

andrew11 [14]

Step 1. Simplify $\frac{1}{5} (x+5)$ to $\frac{x+5}{5}$

$\frac{x+5}{5} = \frac{1}{4} (x-3)+1$

Step 2. Simplify $\frac{x+5}{5}$ to $1+ \frac{x}{5}$

$1+ \frac{x}{5} = \frac{1}{4} (x-3)+1$

Step 3. Simplify $\frac{1}{4} (x-3)$ to $\frac{x-3}{4}$

$1+ \frac{x}{5} = \frac{x-3}{4} +1$

Step 4. Cancel $1$ on both sides

$\frac{x}{5} = \frac{x-3}{4}$

Step 5. Multiply both sides by $20$ (the LCM of $5,4$ )

$4x=5(x-3)$

Step 6. Expand

$4x=5x-15$

Step 7. Subtract $5x$ from both sides

$4x-5x=-15$

Step 8. Simplify $4x-5x$ to $-x$

$-x=-15$

Step 9. Multiply both sides by $-1$

$x=15$

Done! :) Hope this helps! :)

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3 years ago

Jim rented a truck for one day. There was a base fee of $18.95 , and there was an additional charge of 78 cents for each mile dr

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18 - 15.95 = 2.05

2.05 divided by 71 =

2.9 miles

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3 years ago