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just olya [345]
3 years ago
7

What is the solution to the equation 3sqrt(5x-4)=3sqrt(7x+8)

Mathematics
2 answers:
Nady [450]3 years ago
5 0

Answer:

<em>The answer is:   'no solution'</em>

Step-by-step explanation:

The given equation is:   3\sqrt{5x-4}=3\sqrt{7x+8}

Dividing both sides of the equation by 3, we will get.....

\sqrt{5x-4}=\sqrt{7x+8}

Taking square on both sides.....

(\sqrt{5x-4})^2=(\sqrt{7x+8})^2\\ \\ 5x-4=7x+8\\ \\ 5x-7x=8+4\\ \\ -2x=12\\ \\ x=\frac{12}{-2}=-6

Plugging this x=-6 back to the given equation......

3\sqrt{5(-6)-4}=3\sqrt{7(-6)+8}\\ \\ 3\sqrt{-34}=3\sqrt{-34}

<em>As we are getting a negative number inside the square root, so the equation becomes imaginary. Thus x=-6 is a restricted value.</em>

Hence, there is 'no solution' for this equation.

m_a_m_a [10]3 years ago
4 0
X = -6

However this is an extraneous solution since it would make the number under the sqrt a negative number. 
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Answer:25/39

Step-by-step explanation:

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4 years ago
Let f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6. Find f/g and state its domain.
Tanya [424]

Answer:  (f/g)(x) = -4x - 2

                D: x ≠ 6/5

<u>Step-by-step explanation:</u>

\dfrac{f(x)}{g(x)}=\dfrac{-20x^2-14x+12}{5x-6}\\\\\\.\qquad =\dfrac{-2(2x+1)(5x-6)}{5x-6}\\\\\\.\qquad =-2(2x+1)\\\\\\.\qquad =-4x-2

Domain: \text{denominator cannot be equal to zero}\\\\5x-6\neq 0\\\\5x\quad \neq 6\\\\x\quad \neq \dfrac{6}{5}

3 0
3 years ago
What is list factors of 36​
oksian1 [2.3K]

Answer:

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

36 ÷ 9 = 4

36 ÷ 12 = 3

36 ÷ 18 = 2

36 ÷ 36 = 1

Step-by-step explanation:

The Postive Factors of 36 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 36 in numerical order:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

Factors of 36 include negative numbers. Therefore, all the Positive Factors of 36 can be converted to negative numbers. The list of Negative Factors of 36 are:

-1, -2, -3, -4, -6, -9, -12, -18, and -36.

How many Factors of 36?

When we counted the Factors of 36 that we listed above, we found that 36 has 9 Positive Factors and 9 Negative Factors. Thus, the total number of Factors of 36 is 18.

Factor Pairs of 36

Factor Pairs of 36 are combinations of two factors that when multiplied together equal 36. Here are all the Positive Factor Pairs of 36

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

9 × 4 = 36

12 × 3 = 36

18 × 2 = 36

36 × 1 = 36

Like we said above, Factors of 36 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 36:

-1 × -36 = 36

-2 × -18 = 36

-3 × -12 = 36

-4 × -9 = 36

-6 × -6 = 36

-9 × -4 = 36

-12 × -3 = 36

-18 × -2 = 36

-36 × -1 = 36

Factor Calculator

Do you need the factors for a particular number? You can submit a number below to find the factors for that number with detailed explanations like we did with Factors of 36 above.

5 0
3 years ago
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Klio2033 [76]

Answer:

yes i can

Step-by-step explanation:

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Logic gates I have no clue how to do this
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Answer: It is the 3rd option. But I am not sure if it is correct- pls tell me back if the answer was correct!

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