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katovenus [111]
2 years ago
11

Does This Table Represent a function? Why Or Why Not?

Mathematics
2 answers:
fenix001 [56]2 years ago
4 0
It is no because of A
Roman55 [17]2 years ago
3 0

Answer:  The correct option is

(A) No, because one x-value correspond to two different y-values.

Step-by-step explanation:  We are given to check whether the table represent a function or not.

From the table, we note that

the corresponding values of x and y in form of ordered pairs are

(x, y) = (2, 1), (2, 4), (3, 4), (4, 2) and (5, 5).

We know that a set of ordered pairs (x, y) represents a function of no value of x correspond to more than one one value of y.

But, in the given table, when the value of x is 2, then we are getting two different values of y, 1 and 4.

That is, one value of x correspond to two different values of y.

Thus, the given table DOES NOT represent a function, because one x-value correspond to two different y-values.

Option (A) is CORRECT.

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In a triangle ABC, if <B = 60° and the ratio of two sides is a: c= 2: square root 3+1, then <A=
slavikrds [6]

Your answer is 75°.

To answer this question you need to use both the cosine rule and the sine rule. First, we need to find the length of side b by using the cosine rule, where a = 2 and c = √3 + 1. Then you substitute these into the equation:

b² = a² + c² - 2×a×c×cos(B)

b² = (2)² + (√3 + 1)² - 2×2×(√3 + 1)×cos(60)

b² = 4 + 4 + 2√3 - (4 - 4√3)×0.5

b² = 8 - 2 = 6

b = √6

Then you use this length in the sine rule, and find the angle:

\frac{sin(A)}{\sqrt{3}+1 } =\frac{sin(60)}{\sqrt{6} }

sin(A) = (√6 + √2)/4

A = 75

I hope this helps! Let me know if you have any questions

7 0
3 years ago
1 2/5 fraction that have the same value ​
VladimirAG [237]

Answer:

7/5

Step-by-step explanation:

1 2/5, a mixed number, is equivalent to 7/5.

6 0
3 years ago
If you set aside $9000 at the end of each year for the next 22 years in a Roth IRA, how much will you have at your retirement 22
madam [21]

Answer:

$501,049.37

Step-by-step explanation:

For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:

Given that

PMT = $9,000

NPER = 22 years  

Annual rate = 0.078

Quarterly= 0.078 ÷ 4 = 0.0195

Effective annual rate = (1.0195^4) - 1 = 0.0803113041

Now applied the formula which is given below

= -FV(RATE;NPER;PMT;PV)

After applying the above formula, the future value is $501,049.37

7 0
3 years ago
Laura determined the difference between 8 and –2 using the additive inverse. Her steps are shown below.
NNADVOKAT [17]

Answer: The 8 should have remained positive.

6 0
2 years ago
Read 2 more answers
Researchers are conducting a study in an attempt to establish a linear relationship between the number of online music video vie
Charra [1.4K]

Answer:

d. 0.0948 ± 4.032(0.0279)

Step-by-step explanation:

A 99% confidence interval for the coefficient of promotional expenditures is, First, compute the t critical value then find confidence interval.

The t critical value for the 99% confidence interval is,  

The sample size is small and two-tailed test. Look in the column headed es = 0.01 and the row headed in the t distribution table by using degree of freedom is here

for (n-2=5) degree of freedom and 99% confidence ; critical t =4.032

therefore 99% confidence interval for the slope =estimated slope -/+ t*Std error

= 0.094781123 -/+ 4.032* 0.027926367 = -0.017822 to 0.207384

3 0
3 years ago
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