Answer:

Step-by-step explanation:
The equation of a line is represented by y=mx+b, where m is the slope and b is the y-intercept. Therefore, plug in the values you stated into the equation.
The simplification form of the provided expression is x¹⁸a³b³ option
(d) x¹⁸a³b³ is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:

After using the integer exponent property:

= a³b³x¹⁸ Or
=x¹⁸a³b³
Thus, the simplification form of the provided expression is x¹⁸a³b³ option
(d) x¹⁸a³b³ is correct.
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Answer:
17/24 or 0.708
Step-by-step explanation:
find a common denominator to solve
Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.
The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.
The area where both shaded areas meet is the area that will have all the possible solutions.
PartB:
y ≥ −3x + 3
3 ≥ -3(-6) + 3
3 ≥ 18 + 3
Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.
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Answer:
1695.6 is the volume.
Step-by-step explanation:
3.14 * 6^2 * 15 = 1695.6