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TiliK225 [7]
3 years ago
15

*20 points*

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

c=9

d=3

Step-by-step explanation:

We have been asked:

What value of c makes x2 + 6x + c a perfect square trinomial?

c =  

If x2 + 6x + c = (x + d)2, then d =

First step we have to do is divide the coefficient of x by 2. The coefficient is 6

6/2 = 3

Now take the square of 3 = 3^2

3^2 = 3*3 =9

The value of c is 9

If x^2 + 6x + c = (x + d)^2, then d =?

Put the value of c in the equation:

x^2+6x+9

Take the square root of 1st and third term. Then the expression can be written as:

x^2+6x+9 = (x+3)^2

Thus the value of d is 3.

If x^2 + 6x + 9 = (x + 3)^2, then d = 3 .....

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defon

The expression that can be used to approximate the expression below islog_a x = \frac{log_{b}a}{log_{b}x}

  • Given the logarithmic function expressed as log_a x, we need the log expression that is equivalent to the given expression.

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This is similar to the option c where the base of "b" was used as log_a x = \frac{log_{b}a}{log_{b}x}

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2 years ago
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borishaifa [10]

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Solve for x:

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If x^2-13x+42=(x+A)(x+B), then find the value of 3A-B
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Answer:

- 11 or - 15

Step-by-step explanation:

Factorise

x² - 13x + 42

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