2(4 + 2x) ≥ 5x + 5? please help
1 answer:
2(4 + 2x) ≥ 5x + 5
First, we will need to expand our problem. Expanding is basically removing the parentheses. To do this, we will look at the first part of the problem to begin with. 2(4 + 2x). Since parentheses usually mean multiplication, we can start with 2(4). So, 2 × 4 = 8. We'll do the same thing with 2(2), 2 × 2 = 4.
Second, our next step is to subtract 4 from each side. We are trying to get the variable (x) on one side of the problem by itself.
Third, we can now simplify (5x) + 5 - (4). I put parentheses around what we are going to focus on. Subtract 5x - 4 to get 1, which can be put as the variable (x). Now we have, x + 5.
Fourth, let's subtract 5 from each side now. This will set up 8 - 5 which equals 3.
Fifth, we can switch sides now to get the result of this problem.
Answer:
First, we will need to expand our problem. Expanding is basically removing the parentheses. To do this, we will look at the first part of the problem to begin with. 2(4 + 2x). Since parentheses usually mean multiplication, we can start with 2(4). So, 2 × 4 = 8. We'll do the same thing with 2(2), 2 × 2 = 4.
Second, our next step is to subtract 4 from each side. We are trying to get the variable (x) on one side of the problem by itself.
Third, we can now simplify (5x) + 5 - (4). I put parentheses around what we are going to focus on. Subtract 5x - 4 to get 1, which can be put as the variable (x). Now we have, x + 5.
Fourth, let's subtract 5 from each side now. This will set up 8 - 5 which equals 3.
Fifth, we can switch sides now to get the result of this problem.
Answer:
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Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
B: Scores below the top 13% and above the bottom 56%
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Below the 100-13 = 87th percentile. So below the value of X when Z has a pvalue of 0.87. So below X when Z = 1.127. So
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The numerical limits for a B grade is between 81 and 89.
Answer:
The brace is ft ≅ 12.806 ft long
Step-by-step explanation:
The length of the diagonal of a rectangle can be found using this rule
, where
- l is its length
- w is its width
∵ The gate has shaped a rectangle
∵ Its length = 10 ft
∵ Its width = 8 ft
∴ l = 10 and w = 8
∵ The brace is the diagonal
→ By using the rule above
∴
∴ The length of the brace = ≅ 12.806 ft
∴ The brace is ≅ 12.806 ft long