Answer:
Step-by-step explanation:
Equation
5y = 3y + 4
combine like terms 3y becomes negative when moved to the left side being that its positive on the right. 4 has no variable so it stands alone on the right side.
-3y + 5y = 4
After adding a low negative to a high positive number. Turns into 2y.
2y = 4
Divide 2 on both sides to remove the number from the variable on the left.
y = 
2 is canceled on the left side which gives the solution for Y.
y = 2
(x^2 - 13x - 48) ÷ (x + 3)
x - 16
_____________
x + 3 | x^2 - 13x - 48
| x^2 + 3x
|__________
| -16x - 48
| -16x - 48
Therefore, (x^2 - 13x - 48) ÷ (x + 3) = x - 16
Given that a <span>jewelry
box has a length that is 2 inches longer than the width and a height
that is 1 inch smaller than the width.
Let the width of the box be w, then the length of the box is given by l = w + 2 and the height of the box is given by h = w - 1.
The volume of a box is given by
Given that the volume of the box is 140
cubic inches. Thus
Thus, the width of the jewelry box is obtained as follows
Therefore, the width of the jewelry box is 5 inches.
*Note that
gives complex roots, so we did not use it.
</span>
An integer is a rational number; 1/2 is a rational ratio with a denominator of 1; 0.4545 is a rational decimal; 0.44 is a irrational decimal and 0 is a rational whole numbers.
<h3>What is the difference between a rational and a irrational number?</h3>
The category irrational number can be applied to numbers that cannot be expresses as ratios or fractions. This includes decimals that do not terminate and are not repeating such as 0.44454...
<h3>On the other hand, rational numbers will include different types of numbers such as:</h3>
Integers: This refers to numbers that are not expressed as fractions.
Rational decimals: This includes repeating decimals such as 0.4545...
Rational ratios: This includes numbers such as 1/2 or 1/4.
Rational whole numbers such as 0,1,2, etc.
Learn more about rational numbers in: brainly.com/question/17450097
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