Answer:
Step-by-step explanation:
Let's solve 2x^2 = -X^2 - 5x - 1. Consolidate all terms on the left side and write 0 on the right side:
3x^2 + 5x + 1 = 0. This is a quadratic equation. Let's solve it for x using the quadratic formula:
a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13. Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.
Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."
Answer C would be correct if and only if we write y = x^2 - 5x - 1.
Answer:
The solution in the attached figure
Step-by-step explanation:
step 1
Place the numbers -4, 4, 0, and -3 in the left side
Adds the numbers
----> is correct
step 2
Place the numbers 3, -1, and -2 in the right side
Adds the numbers
----> is correct
step 3
Place the numbers 1 and 2 in the base side
Adds the numbers
----> is correct
The solution in the attached figure
Answer:
each number is being added by 5
Step-by-step explanation:
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Surface area of the cube
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6(2.5 x 2.5) = 37.5m²
<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>
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Surface area of the rectangle prism
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2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²
<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
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Overlapping area
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2.5 x 2.5 = 6.25m²
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Surface area of the composite figure
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37.5 + 478 - 2(6.25) = 503m²
<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>
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Answer: 503m²
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4.
Minimum: 20
First Quartile: 44
Median: 51
Third Quartile: 57
Maximum: 86
Ascending order : 20 41 44 44 49 53 55 57 80 86