The second graph is correct. Because the first equation is <= -x-1, it must fall under that line: only the second and fourth graphs do so. The second equation, >=2x+4, means it must fall above that line: only the second and third graphs do so.
The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:
6w³ cubic units.
<h3>How to obtain the volume of a rectangular prism?</h3>
A rectangular prism is composed by three dimensions, given as follows:
The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:
V = lwh.
From the image given at the end of the answer, the dimensions of the prism are given as follows:
Hence the expression that gives the volume of the rectangular prism is given as follows:
V = w x 2w x 3w = 6w³ cubic units.
<h3>Missing Information</h3>
The prism is given by the image shown at the end of the answer.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
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Answer:
0.7938
Step-by-step explanation:
z1 = (125-100)/15 = 1.667
P( < 125) = 0.9522
z2 = (85-100)/15 = -1
P( > 85) = 0.8413
0.9522 + 0.8413 - 1 = 0.7935
Answer: -2x + 9
First, Use the distributive property: 3(x+3)-5x (3 multiplied by x is 3x and 3 multiplied by 3 is 9
Next, subtract the variable x: 3x+9-5x (3x-5x=-2x
The answer is -2x+9
Answer:
no solution
Step-by-step explanation:
5x - 8(x + 5) = 6 - 3x
Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.
First, distribute -8 to all terms within the parenthesis
-8(x + 5) = (-8)(x) + (-8)(5) = -8x - 40
5x - 8x - 40 = 6 - 3x
Isolate the variable (x). Add 3x & 40 to both sides
5x - 8x (+3x) - 40 (+40) = 6 (+40) - 3x (+3x)
5x - 8x + 3x = 6 + 40
Simplify. Combine like terms
(5x - 8x + 3x) = (6 + 40)
0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer
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