Sketch and shade the region in the xy-plane defined by the equation or inequalities. |x| < 7 and |y| < 2
Answers
Answer:
Here we have:
IxI < 7
This also can be written as:
-7 < x < 7
and:
IyI < 2.
As above, we can write this as:
-2 < y < 2.
Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)
Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.
The area would be the area inside that rectangle, where i did not shade it so it is easier to read.
Final answer:
To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, identify the boundaries and sketch the rectangle, shading the region within it.
Explanation:
To sketch and shade the region defined by the inequalities |x| < 7 and |y| < 2, we first identify the boundaries of the region. The inequalities |x| < 7 and |y| < 2 represent lines parallel to the x-axis and y-axis, respectively. The region is bounded by these lines and lies within the rectangle with vertices (-7, -2), (-7, 2), (7, -2), and (7, 2). We sketch the rectangle and shade the region within it.
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HELP ME PLEASE I DO NOT UNDERSTAND PLEASE THANK YOU HAVE A GOOD DAYa.) Draw a rectangular prism with these dimensions: 3 units x 9 units x 27 units.b.) Draw a net of the rectangular prism and label each face with its surface area.c.) Use the net of the rectangular prism to find the surface area of the solid.
Answers
Answer:
41 4/15 is how far the bus has traveled
Step-by-step explanation:
total distance = distance traveled + distance to go
65 3/5 = x + 24 1/3
Subtract 24 1/3 from each side
65 3/5 - 24 1/3 = x
Get a common denominator of 15
65 3/5 *3/3 = 65 9/15
24 1/3 *5/5 = 24 5/15
65 9/15 - 24 5/15=x
41 4/15 is how far the bus has traveled
Answers
Answer:
i say it is C if not then B
Step-by-step explanation:
commutative - addition
inverse - addition
associative - multiplication
symmetric
commutative - multiplication
associative - addition
inverse - multiplication
Answers
Answer:
G: Inverse multiplication
Step-by-step explanation:
Statement is 2•1/2=1
Now, what this means is that when we multiply a number by it's inverse form, the result will be 1.
This means that this statement denotes an inverse multiplication.
Thus, the last option is the correct answer
Answers
Answer:
$9,979,032,100 or $9.979 billion
Step-by-step explanation:
The approximate weight of a $100 bill is 1 gram.
All of the calculations bellow assume that the volume of the bills would not be an issue and only concerns weight.
1 pound is equivalent to approximately 453.59237 grams.
The weight in grams that the Big Falcon Rocket can carry is:
Since each bill weighs 1 gram, the number of bills it could carry, rounded to nearest whole bill is 99,790,321. The total amount it could carry is:
marbles drawn will be red?
Answers
Answer: 0.036
Work Shown:
6 red, 6+3+7 = 16 total
A = 6/16 = probability of getting red the first time
after you pick 1 red, there's 6-1 = 5 left out of 16-1 = 15 total
B = 5/15 = probability of getting red the second time
then you repeat: 5-1 = 4 red left out of 15-1 = 14 total
C = 4/14 = probability of getting red the third time
B and C are dependent on A, C is dependent on B. This is assuming we do not put any marbles back.
Multiply out the fractions found
A*B*C = (6/16)*(5/15)*(4/14) = 0.0357 which rounds to 0.036 when rounding to the nearest thousandth.
O x2 + 4x + 2
O 4x2 + 2x + 4
O 4x2 + 8x + 4
o 10x2 + 20x + 1
Answers
The equivalent form of f(x) + g(x), if f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is
4x² + 8x + 4, so option C is correct.
What is a function?
In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.
Given:
f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²
Calculate the equivalent form as shown below,
f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²
Simplify the above equation,
f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)
f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3
f(x) + g(x) = 4x² + 8x + 4
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