Answer:
30 SQUARE units
Step-by-step explanation:
Since the problem only includes two dimensions, we solve for area, not volume. Area=width*height, or 3*10=30. Because we're solving for area the answer is 30 square units.
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f(x) = 2(3x)
Exponential functions represent the initial value outside of the parentheses so if 2 is the initial value it has to be on the outside of the parentheses.
Exponential growth formula.
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<span>a represents the initial value.</span>
The inequality will be 0 < x < 5 .
Each line plotted on a coordinate graph divides the graph (or plane) into two half‐planes. Before graphing a linear inequality, you must first find or use the equation of the line to make a boundary line.
The y z - plane is represented by the equation x = 0 .
As the region is between the y z - plane and the vertical plane x = 5 , we will get the inequality 0 < x < 5 .
Therefore , the inequality will be 0 < x < 5 .
To learn more on inequality follow link :
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Solve the inequality for x:
5x - 3 ≤ 7x +7
Subtract 7x from each side:
-2x -3 ≤ 7
Add 3 to each side:
-2x ≤ 10
Divide both sides by -2, also when dividing both sides of an inequality you flip the direction of the inequality sign:
x ≥ -5
The dot will be on -5, because the inequality includes equal to, the dot is solid and is greater than, the arrow will point to the right.
The correct answer is D.
Step-by-step explanation:
x² + y² − 8x + 10y − 8 = 0
Rearrange:
x² − 8x + y² + 10y = 8
To complete the square, take half of the x and y coefficients, square it, then add the result to both sides.
(-8/2)² = 16
(10/2)² = 25
x² − 8x + 16 + y² + 10y + 25 = 8 + 16 + 25
x² − 8x + 16 + y² + 10y + 25 = 49
Factor the squares:
(x − 4)² + (y + 5)² = 49
The center is (4, -5) and the radius is 7.
