now, the denominator has a higher degree, a degree of 1, than the numerator's, therefore the horizontal asymptote for this function is at y = 0.
now, the vertical asymptotes of it, are at the zeros of the denominator, namely x = 0, when is x = 0? at 0, so the vertical asymptote for this function is at x = 0, the y-axis.
now, if we want the horizontal asymptote moved over from its position at 0, over to x = 5, simply translate it by 5 units,
.
and if we want the vertical asymptote to move down from 0 to -3, simply translate the function vertically 3 units,
Answer:
Let be an matrix and vectors in with the property that .
Then, using the distributive property between matrices we have that
, so
Now, let c and d scalars. Observe that using the property of product of a matrix by a scalar and the distributive property we have that
Answer:
(0, 9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -2x + 9
y = 3x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 3x + 9 = -2x + 9
- [Addition Property of Equality] Add 2x on both sides: 5x + 9 = 9
- [Subtraction Property of Equality] Subtract 9 on both sides: 5x = 0
- [Division Property of Equality] Divide 5 on both sides: x = 0
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -2x + 9
- Substitute in <em>x</em>: y = -2(0) + 9
- Multiply: y = 0 + 9
- Add: y = 9
<span>6.16×10^6
10^6 = </span>10000006.16 x 1000000 = <span>6160000
</span><span>6,160,000 is your answer
</span>
hope this helps
Answer:
It''s d
Step-by-step explanation:
If he had 150 to spend on 3 pairs of pants and 30 left over the equation would be 3x+30=150. In case you need to know how much a pair is it would be $40