Answer:
B
Step-by-step explanation:
If two quantities have a direct variation, their graph will originate from the point of intersection at the origin.
Among all graphs, only Nikiya's intersects the origin, thus the answer is B.
1 = 25 times 1 + 8 = 33 2 = 25 times 2 + 8 = 58 3 = 25 times 3 + 8 = 83 4 = 25 times 4 + 8 = 108 5 = 25 times 5 + 8 = 133 B 10 = 25 times 10 + 8 = 258 C 233 = 25 times x + 8 233 = 25x + 8 233 - 8 = 25x 225 = 25x 225 / 25 = 25x / 25 9 = x there are 9 classes.
Calculating (-15)/3 gives -5.
The operation (-15)/3 can be visualized using red tiles for negatives and yellow for positives. The problem asks how many tiles remain when dividing 15 negative tiles among three groups equally. Using red tiles signifies the negative value involved. The division yields 5 red tiles in each group, establishing that the overall answer is negative.
In certain cases, a function necessitates multiple formulas to achieve the desired outcome. An example is the absolute value function \displaystyle f\left(x\right)=|x|f(x)=∣x∣. This function applies to all real numbers and yields results that are non-negative, defining absolute value as the magnitude or modulus of a real number regardless of its sign. It indicates the distance from zero on the number line, requiring all outputs to be zero or greater.
<pwhen inputting="" a="" non-negative="" value="" the="" output="" remains="" unchanged:="">
\displaystyle f\left(x\right)=x\text{ if }x\ge 0f(x)=x if x≥0
<pwhen inputting="" a="" negative="" value="" the="" output="" is="" inverse:="">
\displaystyle f\left(x\right)=-x\text{ if }x<0f(x)=−x if x<0
Due to the need for two distinct operations, the absolute value function qualifies as a piecewise function: a function defined by several formulas for different sections of its domain.
Piecewise functions help describe scenarios where rules or relationships alter as the input crosses specific "boundaries." Business contexts often demonstrate this, such as when the cost per unit of an item decreases past a certain order quantity. The concept of tax brackets also illustrates piecewise functions. For instance, in a basic tax system where earnings up to $10,000 face a 10% tax, additional income incurs a 20% tax rate. Thus, the total tax on an income S would be 0.1S when \displaystyle {S}\leS≤ $10,000 and 1000 + 0.2 (S – $10,000) when S > $10,000.
</pwhen></pwhen>
Answer:
40 * x - 600 = 0
Step-by-step explanation:
Initially, identify the variable (x) in the equation, representing the number of days it takes Leilah to review her flashcards. To study 600 out of her 2400 cards, having gone through 1800 already, we arrive at:
2400 - 1800 = 40 * x
rearranging leads to
40 * x - 600 = 0
This equation describes the situation above
