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3 years ago

Which value must be added to the expression x^2– 3x to make it a perfect-square trinomial?

Mathematics

1 answer:

liraira [26]3 years ago

3 0

Answer:

$\frac{9}{4}$

Step-by-step explanation:

Given

x² - 3x

add ( half the coefficient of the x- term)²

x² + 2(- $\frac{3}{2}$ )x + (- $\frac{3}{2}$ )²

= (x - $\frac{3}{2}$ )² + $\frac{9}{4}$

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Solve the following system of equations by elimination. What is the value of y?

svetoff [14.1K]

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7 0

2 years ago

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Consider two independent tosses of a fair coin. Let A be the event that the first toss results in heads, let B be the event that

aliina [53]

Answer with Step-by-step explanation:

We are given that two independent tosses of a fair coin.

Sample space={HH,HT,TH,TT}

We have to find that A, B and C are pairwise independent.

According to question

A={HH,HT}

B={HH,TH}

C={TT,HH}

$A\cap B=$ {HH}

$B\cap C$ ={HH}

$A\cap C$ ={HH}

P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of\;cases}$

Using the formula

Then, we get

Total number of cases=4

Number of favorable cases to event A=2

$P(A)=\frac{2}{4}=\frac{1}{2}$

Number of favorable cases to event B=2

Number of favorable cases to event C=2

$P(B)=\frac{2}{4}=\frac{1}{2}$

$P(C)=\frac{2}{4}=\frac{1}{2}$

If the two events A and B are independent then

$P(A)\cdot P(B)=P(A\cap B)$

$P(A\cap)=\frac{1}{4}$

$P(B\cap C)=\frac{1}{4}$

$P(A\cap C)=\frac{1}{4}$

$P(A)\cdot P(B)=\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}$

$P(B)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(C)=\frac{1}{4}$

$P(A)\cdot P(B)=P(A\cap B)$

Therefore, A and B are independent

$P(B)\cdot P(C)=P(B\cap C)$

Therefore, B and C are independent

$P(A\cap C)=P(A)\cdot P(C)$

Therefore, A and C are independent.

Hence, A, B and C are pairwise independent.

6 0

3 years ago

The value of x varies directly with y, and when x=1/3,y=5

pickupchik [31]

Answer: y = 36x

Step-by-step explanation: Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = , y = 12, then

k = = = 12 × 3 = 36

y = 36x ← equation of variation

3 0

2 years ago

What does x equal? 3(x-7)=138+3x

Arturiano [62]

3(x-7) = 138 + 3x First multiply
3x-21 = 138 + 3x subtract 3x from both sides
-21 = 138

This is a false statement because -21 does not equal to 138 so the answer is no solution.

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!

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3 years ago

An underestimate of 532 times 11

andreev551 [17]

An underestimate of 532 times 11 is 5852

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3 years ago

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