Which expression is equivalent to.... please help

Mathematics

1 answer:

Margarita [4]3 years ago

4 0

X^2+3x+3+[(2x^2+13+15)/(x+5)] is equivalent to option 4. im sorry if i got my math wrong but i hope this helps.

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What is -3/8 - (1/6)

Mrac [35]

Remove parentheses.

-3/8 -1/6

Find the Least Common Denominator (LCD) of 3/8, 1/6. In other words, find the Least Common Multiple (LCM) of 8,6.

LCD=24

Make the denominators the same as the LCD.

- 3x3/8x3 - 1x4/6x4

Simplify. Denominators are now the same

-9/24 - 4/24

Join the denominators

-9-4/24

Simplify

-13/24

7 0

3 years ago

Find the slope between these two points: (3, -10) and (-2, -30). Show all of your work. what the answer

Harlamova29_29 [7]

$\huge\text{$m=\boxed{4}$}$

Hey there! Start with the slope formula, where $(x_1,y_1)$ and $(x_2,y_2)$ are the two known points.

$\begin{aligned}m&=\dfrac{y_2-y_1}{x_2-x_1}\\&=\frac{-30-(-10)}{-2-3}\end{aligned}$

Simplify.

$\begin{array}{c|l}\textbf{Solving}&\textbf{Reason}\\\cline{1-2}\\m=\dfrac{-30+10}{-2-3}&x-(-y)=x+y\\\\m=\dfrac{-20}{-5}&\text{Addition and subtraction}\\\\m=\dfrac{20}{5}&\text{The negatives cancel out}\\\\m=\dfrac{4}{1}&\text{Divide the numerator and denominator by $5$}\\\\m=\boxed{4}&\dfrac{x}{1}=x\end{aligned}$