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EleoNora [17]
3 years ago
10

Diego is solving the inequality 100 − 3x ≥ -50. He solves the equation 100 − 3x = -50 and gets x = 50. What is the solution to t

he inequality?
Mathematics
2 answers:
ZanzabumX [31]3 years ago
7 0

Answer:

x≤50

Step-by-step explanation:

100-3x≥-50

subtracting 100 at both side on inequality

-100+100-3x≥--50-100

-3x≥-150

Dividing both sides by 3

-3x/3≥-150/3

-x≥--50

Adding 50 on both sides

-x+50≥-50+50

-x+50≥0

Adding x on both sides

-x+x+50≥0+x

50≥x

so,

x≤50

ollegr [7]3 years ago
3 0

Answer:

  x ≤ 50

Step-by-step explanation:

Since the original inequality includes the "or equal to" case, we know that x=50 is part of the solution set. The trick is to figure out whether the solution set includes values more than 50, or less than 50.

There are a couple of ways to check this:

  1. try a value of x other than 50 and see if the inequality is satisfied. It is usually convenient to use x=0. Here, that would give 100 -0 ≥ -50, a true statement. So, we now know that solution values are less than or equal to 50: x ≤ 50.
  2. Multiply the inequality by -1, or add 3x, so that the coefficient of x is positive. The direction of the comparison symbol for that case will tell you the direction of the comparison symbol in the answer. Here, multiplying by -1 gives -100 +3x ≤ 50, so we know x ≤ 50. If we add 3x instead, we see that 100 ≥ 3x -50, so we know 50 ≥ x.
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erastova [34]

Answer:

Use this formula for these kinda things.

Step-by-step explanation:

Remember The z is the hypathonous, it means the biggest side.

{a}^{2}  +  {b}^{2}  =  {c}^{2}

where Z is going to be C

put this all together

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{z}^{2}

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5 0
3 years ago
Solve for x using basic trigonometric ratios.
yuradex [85]
Sine 35 degrees = x / 20

x = sine 35 degrees * 20

x = .57358 * 20

x = 11.4716


8 0
3 years ago
Help please I will give brainliest ❤​
Maslowich

Step-by-step explanation:

a < (a + b)/2 < b

Solve the first inequality.

a < (a + b)/2

2a < a + b

a < b

Solve the second inequality.

(a + b)/2 < b

a + b < 2b

a < b

Both inequalities are true.  Therefore, a < (a + b)/2 < b.

6 0
3 years ago
Read 2 more answers
(40 points + Brainliest)
Sladkaya [172]
The answer would be B because y=mx+b
7 0
3 years ago
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For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of
makkiz [27]

95% have a systolic blood pressure between 109 and 141

Empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.

Given that mean (μ) = 125, standard deviation (σ) = 8.

68% are within one standard deviation = μ ± σ = 125 ± 8 = (117, 133)

95% are within two standard deviation = μ ± 2σ = 125 ± 2*8 = (109, 141)

95% have a systolic blood pressure between 109 and 141

Find out more on empirical rule at: brainly.com/question/10093236

5 0
2 years ago
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