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alexgriva [62]
3 years ago
12

Solve inequality -5-3x>2(x+2)+3

Mathematics
2 answers:
Ede4ka [16]3 years ago
6 0
X>12/7 combine like terms first then solve 
myrzilka [38]3 years ago
3 0
-5-3x=2(x+2) +3
-5-3x=2x+4+3
-5-3x=2x+7
-3x-2x=7+5
-5x=12
X=-12/5
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How to write a decimal as a fraction?
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Answer:

Step-by-step explanation:

Convert Decimals to Fractions

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

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3 years ago
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2 years ago
A polynomial has a leading coefficient of 1 and the
Hoochie [10]

Answer:

(A)[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]

Step-by-step explanation:

A polynomial has a leading coefficient of 1 and the  following factors with multiplicity 1:

x-(2+i)\\x-\sqrt{2}

We apply the following to find the factored form of the polynomial.

  • If a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial.
  • If the polynomial has an irrational root a+\sqrt{b}, where a and b are rational and b is not a perfect square, then it has also a conjugate root a-\sqrt{b}.

\text{Complex conjugate of }x-(2+i)=x-(2-i)\\\\\text{Complex conjugate of }x-\sqrt{2}=x+\sqrt{2}

Therefore, the factored form of the polynomial is:

[x-(2+i)][x-(2-i)][x-\sqrt{2}][x+\sqrt{2}]

7 0
3 years ago
Read 2 more answers
Heights of fourth graders are Normally distributed with a mean of 52 inches and a standard deviation of 3.5 inches. What percent
SVEN [57.7K]

Answer:

C. 59.01%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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:

\mu = 52, \sigma = 3.5

What percentage of fourth graders are between 50 inches and 56 inches?

This is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.

X = 56

Z = \frac{X - \mu}{\sigma}

Z = \frac{56 - 52}{3.5}

Z = 1.14

Z = 1.14 has a pvalue of 0.8729

X = 50

Z = \frac{X - \mu}{\sigma}

Z = \frac{50 - 52}{3.5}

Z = -0.57

Z = -0.57 has a pvalue of 0.2843.

0.8729 - 0.2843 = 0.5886, which is close to 59.01%.

So the correct answer is:

C. 59.01%

7 0
3 years ago
What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)? k = –k equals negative StartFraction 3 O
Ket [755]

Answer:

k equals negative StartFraction 2 Over 3 EndFraction

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

we have that

For x=-3, y=2

Find the value of the constant of proportionality k

k=y/x

substitute the value of y and x

k=-\frac{2}{3}

The linear equation is

y=-\frac{2}{3}x

therefore

k equals negative StartFraction 2 Over 3 EndFraction

7 0
3 years ago
Read 2 more answers
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