Basically all you have to do is plug in numbers for Y and C. the formula is (y,x) so use numbers like (1,3) and as long as it fits in the equation (the equation ends up true. like in this case (1 < 2) which means it worked) you can graph that point.
Answer:
B. f(x) = -x^3 - x^2 + 7x - 4
Step-by-step explanation:
For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.
For each of these equations, we will simply take the terms with the highest power and consider those. The two cases we need to consider is + infinite for x and - infinite for x. Let's check each of these equations.
Note, any value raised to an even power will be positive. Any negative value raised to an odd power will be negative.
<u>[A] - x^4</u>
<em>When x is +∞ --> - (∞)^4 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^4 --> f(x) is -∞</em>
<em />
<u>[B] - x^3</u>
<em>When x is +∞ --> - (∞)^3 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^3 --> f(x) is ∞</em>
<em />
<u>[C] 2x^5</u>
<em>When x is +∞ --> 2(∞)^5 --> f(x) is ∞</em>
<em>When x is -∞ --> 2(-∞)^5 --> f(x) is -∞</em>
<em />
<u>[D] x^4</u>
<em>When x is +∞ --> (∞)^4 --> f(x) is ∞</em>
<em>When x is -∞ --> (-∞)^4 --> f(x) is ∞</em>
<em />
Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).
Cheers.
There are 3 pairs of earrings that you bought in addition to the jeans. Forming an equation with the given values helps to find the required value.
<h3>How to write an equation for the given information?</h3>
It is given that,
A pair of jeans cost = $44
A pair of earrings cost = $12
you spent a total of $80 before taxes.
So, the equation for the given data is,
$80 = $44 + $12x
Where x is the number of pairs of earrings.
<h3>Calculation:</h3>
Simplifying the obtained equation:
$80 = $44 + $12x
⇒ 12x = 80 - 44
⇒ 12x = 36
⇒ x = 36/12
∴ x = 3
Thus, you can buy three pairs of earrings at the mall in addition to the jeans.
Learn more about an equation here:
brainly.com/question/25678139
#SPJ9
Compare the slopes of each line<span>. Remember, when two </span>lines are parallel<span> to each other, they will have the exact same slope. Using the equation y = mx + b where m is the slope of the </span>line<span>, you can </span>identify<span> and compare the slopes of two </span>lines<span>.</span>
