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devlian [24]
2 years ago
9

Find the value of X in the diagram below.

Mathematics
1 answer:
Maru [420]2 years ago
4 0

Answer:

The answer to your question is  x = 2

Step-by-step explanation:

Process

1.- Use proportions to solve this problem

          \frac{4x + 2}{23} = \frac{2x + 16}{23 + 23}

2.- Solve for x

                        46(4x + 2) = 23(2x + 16)

Expand

                        184x + 92 = 46x + 368

Simplify

                        184x - 46x = 368 - 92

                         138x = 276

                              x = 276/138

Result

                              x = 2

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Which statement is true about the parts of this expression? 5/6 + 1/4x - y The constant is 5/6. The only coefficient is 1/4. The
andriy [413]

Answer:


Step-by-step explanation:

1/4 is the coefficient

x and y is the variables

5/6 is the constant but there could be a  equal to zero on the end giving you another constant

Therefor the only true statement is The only coefficient is 1/4.  

4 0
2 years ago
One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the
Georgia [21]

Answer:

Option (D)

Step-by-step explanation:

Given polynomial is,

2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 |  2     -3       -3       2    

 

    <u>         4         2      -2          </u>

     2      1         -1        0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

                           = 2x(x + 1) -1(x + 1)

                           = (2x - 1)(x + 1)

Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

Option (D) will be the answer.

4 0
2 years ago
What is the ninth term in the binomial expansion of (X-2y)^13?
vlada-n [284]

Answer:

329472\cdot x^5\cdot y^8  

Explanation:

Binomial expansion is:

(a+b)^n=a^n+n\cdot a^{n-1}{\cdot b}+\frac{n(n-1)}{2}\cdot a^{n-2}\cdot b^2+------+b^n

Here in given expression we have a=x , b=-2y and n = 13

general formula for binomial expansion is:

T_{r+1} =^nC_r\cdot a^{n-r}\cdot b^r

Since, T_{r+1}

r should be one number less than the term we need to find so it will become the number we need to find like here we have to find 9th term so, r=8

substituting the values in the genral formula we will get

^13C_8\cdot x^{13-8}\cdot (-2y)^8

After substituting the values we will get

\frac{13!}{8!\cdot 5!}\cdot x^5\cdot (-2y)^8}

After simplification we will get

329472\cdot x^5\cdot y^8  which will be the 9th term of the expansion



5 0
1 year ago
Read 2 more answers
A spinner has five congruent sections, one each of blue, green, red, orange, and yellow. Yuri spins the spinner 10 times and rec
Burka [1]

Answer:

S = {AB, AC, BC}

Step-by-step explanation:

3 0
1 year ago
A random sample of 25 roundtrip flights between Philadelphia and Dallas has an average airfare of $393.50 with a sample standard
Sauron [17]

Answer:

$393.50+/-$19.72

= ( $373.78, $413.22)

Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $393.50

Standard deviation r = $50.30

Number of samples n = 25

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

$393.50+/-1.96($50.30/√25)

$393.50+/-1.96($10.06)

$393.50+/-$19.7176

$393.50+/-$19.72

= ( $373.78, $413.22)

Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)

5 0
1 year ago
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