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ankoles [38]
3 years ago
14

Wich of the following expressions are equivalent to - 2/3 ? select all that apply​

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

A, C and E

Step-by-step explanation:

Simplify each expression to lowest terms. Equivalent expressions will be any expressions which are equal after simplifying to lowest terms.

A. -1/9 * 6 = -6/9 = -2/3

B. -15/10 = -3/2

C. 12/-18 = -2/3

D. -3/4 * 2/1 = -6/4 = -3/2

E. -8/9 * 3/4 = -24/36 = -2/3

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Given the rational expressions 7/(x ^ 2 - 12) and (2x - 1)/(x + 2) which of the following is true?
goldenfox [79]

Answer:

option C

Step-by-step explanation:

\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}

3 0
3 years ago
The rent for an apartment was $11,400 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an expon
Bad White [126]

Answer:

if the 4% continues to be 4% of 11,400 and not the new number, the answer is:  14592.

Step-by-step explanation:

7 0
3 years ago
A trucking firm has a large inventory of spare parts that have been in storage for a long time. It knowsthat some proportion of
Debora [2.8K]

Answer:

0.1546\leq \widehat{p}\leq 0.3513

Step-by-step explanation:

The firm tests 75 parts, and finds that 0.25 of them are notusable

n = 75

x = 0.25 \times 75 = 18.75≈19

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{19}{75}

\widehat{p}=0.253

Confidence level = 95%

So, Z_\alpha at 95% = 1.96

Formula of confidence interval of one sample proportion:

=\widehat{p}-Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}\leq \widehat{p}\leq \widehat{p}+Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}

=0.253-(1.96)\sqrt{\frac{0.253(1-0.253)}{75}}\leq \widehat{p}\leq0.253+(1.96)\sqrt{\frac{0.253(1-0.253}{75}}

Confidence interval =0.1546\leq \widehat{p}\leq 0.3513

7 0
3 years ago
so i have goodknews and bad knew my uncle got out of jail but he cant live with us anymore I'm so sad because he has been there
Marina CMI [18]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat
MatroZZZ [7]

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

5 0
3 years ago
Read 2 more answers
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