Answer:
x=-2
Step-by-step explanation:
just plug in random numbers until you get your answer, it works for me
Part B) Is it possible for you to have driven 160 miles?
Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!
Thank you!
In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.
Part A:
Let t represent the number of hours you drive and d represent the distance you drive.
The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.
The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.
Part B:
No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:
d ≤ 55t
d ≤ 55(3)
d ≤ 165
Since 160 is greater than 165, it is not within the range of possible distances you can drive.
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The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.
Part A:
To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.
The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.
Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.
Combining these two inequalities, we have: t ≤ 3 and d = t × 55.
Part B:
To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.
Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.
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44.0 feet
75.4 feet
87.9 feet
your answer is 44.0 feet
–8y + 7x
2y – 7x
8y + 8x
Answer:
-8y + 7x.
Step-by-step explanation:
(2) (x^2 + 6)(x^2 + 6) (4) (x^2 + 6)(x^2 - 6)
The expression is equivalent to x^4 - 12x^2 + 36 is (x^2 - 6)(x^2 - 6) correct.
We have given that
x^4 - 12x^2 + 36
We have to determine
Which expression is equivalent to x^4 - 12x^2 + 36.
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
(x^2 plus or minus 6)(x^2 plus or minus 6)
an easy way to do this is to only look at plus or minus 6
x^4 - 12x^2 + 36 (-12 and 36)
6 x 6 = 36
6 + 6 ≠ -12
(x^2 + 6)(x^2 + 6) is incorrect
6 x -6 ≠ 36
6 + -6 ≠ -12
(x^2 - 6)(x^2 + 6) is incorrect
-6 x -6 = 36
-6 + -6 = -12
Therefore the option (x^2 - 6)(x^2 - 6) is correct
The expression is equivalent to x^4 - 12x^2 + 36 is (x^2 - 6)(x^2 - 6) correct.
To learn more about the expression visit:
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