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Slav-nsk [51]
3 years ago
11

If x=y and y=10, then x=10 exemplifies which property?

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

ANSWER

Transitive property of equality.

EXPLANATION

According to the transitive property of equality,

if

a=b and b=c, then a=c.

Therefore,

if x=y and y=10, then x=10 is an example of transitive property of equality.

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PLEASE HELP! Image below
maria [59]

Answer:

1.6

Step-by-step explanation:

So, first, write down the number of jokers in each deck of cards.

That would be: 0, 1, 2, 2, 3

Then, add up all those numbers.

0+1+2+2+3=8

Now, divide that sum by the number of decks or cards shown in the data set, which would be 5.

8/5=1.6

So, the mean of the data in the dot plot shown is 1.6.

:L)

4 0
3 years ago
Factor the cubic polynomial 6x3 – 11x2 – 12x 5. use the rational root theorem and synthetic division
pochemuha

The factorization of given cubic polynomial 6x³ - 11x² - 12x + 5 is:  

6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

For given question,

We have been given the cubic polynomial 6x³ - 11x² - 12x + 5

We need to factorize given cubic polynomial.

By the rational roots theorem, any rational zero of f(x) is expressible in the form ± \frac{p}{q} for integers p, q with p a divisor of the constant term 5 and q a divisor of the coefficient 6 of the leading term.

Factors of p = 5: 1, 5

Factors of q = 6: 1, 2, 3, 6

That means that the only possible rational zeros are:

±{ \frac{1}{1} ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,\frac{5}{1} ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

= ±{ 1 ,\frac{1}{2} ,\frac{1}{3} ,\frac{1}{6} ,5 ,\frac{5}{2} ,\frac{5}{3} ,\frac{5}{6} }

We need to find the exact zeros of given cubic polynomial.

For x = 1,

6(1)³ - 11(1)² - 12(1) + 5 = -12

This means, x = 1 is not a zero of given cubic polynomial.

For x = -1,

6(-1)³ - 11(-1)² - 12(-1) + 5 = 0

This means, x = -1 is a zero of given cubic polynomial and (x + 1) is a factor.

To factorize given cubic polynomial we use synthetic division.

The synthetic division (6x³ - 11x² - 12x + 5) ÷ (x + 1) is as shown in following image.

⇒ 6x³ - 11x² - 12x + 5 = (x + 1)(6x² - 17x + 5)

The factors of above quadratic polynomial 6x² - 17x + 5 are:

⇒ 6x² - 17x + 5 = (x - \frac{5}{2})(x - \frac{1}{3})

So, the factors of given cubic polynomial are:

⇒ 6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

Therefore, the factorization of given cubic polynomial 6x³ - 11x² - 12x + 5 is:  6x³ - 11x² - 12x + 5 = (x + 1)(x - \frac{5}{2})(x - \frac{1}{3})

Learn more about the polynomial here:

brainly.com/question/16594008

#SPJ4

4 0
2 years ago
Could you help me with this plz
serious [3.7K]

Answer:

B. 203.403

Step-by-step explanation:

2 times 100 = 200

3 times 1 = 3

4 times 1/10 = 0.4

3 times 1/1000 = 0.003

200 + 3 = 203

203 + 0.4 = 203.4

203.4 + 0.003 = 203.403

3 0
3 years ago
Find the exact circumferece of a circle with a given radius of 3 1/4 inches.
Salsk061 [2.6K]
C. 

Although this is not the exact answer the circumference formula is 2(pi)r. Which is far more than the other two options. 
4 0
3 years ago
When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea
____ [38]

Answer:

According to steps 2 and 4. The second-order polynomial must be added by -c and b^{2} to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form a\cdot x^{2} + b\cdot x + c = 0, \forall \,x \in\mathbb{R}. The procedure is presented below:

1) a\cdot x^{2} + b\cdot x + c = 0 (Given)

2) a\cdot x^{2} + b \cdot x = -c (Compatibility with addition/Existence of additive inverse/Modulative property)

3) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c (Compatibility with multiplication)

4) 4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c (Compatibility with addition/Existence of additive inverse/Modulative property)

5) (2\cdot a \cdot x + b)^{2} = b^{2}-4\cdot a \cdot c (Perfect square trinomial)

According to steps 2 and 4. The second-order polynomial must be added by -c and b^{2} to create a perfect square trinomial.

7 0
3 years ago
Read 2 more answers
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