Answer:
Step-by-step explanation:
Step 1
Calculate the slope of the dashed line
The slope between two points is computed with the formula:
We consider
(-3,1) and (0,3)
and substitute into it:
Step 2
Determine the equation of the dashed line in slope-intercept form:
The equation we established is:
---> associated problem
Substituting yields:
Step 3
Establish the inequality corresponding to the graph
Given that it is represented by a dashed line, the area to the left of this line is shaded.
Thus,
Refer to the attached diagram for enhanced understanding of the problem.
Answer:
The option is D: Absolute value function
Step-by-step explanation:
The absolute value indicates how far a number is from 0 on the number line, in either direction.
We have the function;
f(x) = |2x³ - 3x| + 5
This function holds an absolute value operator which is |2x³ - 3x|.
Consequently, this function is characterized as an absolute value function since it includes algebraic terms enclosed in absolute value notation.
Answer:
8$
Step-by-step explanation:
Since the initial car wash price remains unchanged, but subsequent washes see a reduction, you only subtract 7 dollars from the total since the discount applies 7 times. Hence, 15-7=8 so 8 dollars is the final amount.
(2 6/7) divided by (1 2/3) equals x over 1.
Cross-multiply and convert mixed numbers to improper fractions:
(5/3)x = 20/7
Solving for x:
x = (20/7) × (3/5)
x = 60/35, which simplifies to 1 5/7 songs per minute.
<span>3[x + 3(4x – 5)] = 15x – 24
3x + 12x - 15 = 15x - 24
15x - 15 = 15x - 24
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