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tamaranim1 [39]
3 years ago
8

.......................

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

B.

Step-by-step explanation:

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Select the correct answer.
Keith_Richards [23]

Answer:

D=1

Step-by-step explanation:

g(x)=x³-9x²+27x-25

g(2)=(2)³-9(2)²+27(2)-25

=8-36+54-25

=1

5 0
3 years ago
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
sertanlavr [38]

Answer:

<h2>        C)  4</h2>

Step-by-step explanation:

The nth term of arithmetic sequence is   a_n=a_1+d(n-1)

So:

    a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4

5 0
3 years ago
What are the values of x in the equation x2 - 6x + 9 = 25?
hjlf

Answer:

x= -2 or x= 8

Step-by-step explanation:

x^{2} - 6x + 9 = 25

First step, move 25 to the left side so we can do the Quadratic Formula (or you can factor instead.)

x^{2} -6x + 9 - 25 = 0

Next, we know that 9-25 equals -16.

x^{2} - 6x - 16 = 0

Now find that what two numbers multiply and get 16: 2×8 4×4 and 16×1.

Now we do some kind of factoring. The most valuable number must be negative since -6x is negative.

Let's explain about factoring in Quadratic a little bit.

Substitue x²-6x-16 as ax²+bx+c=0

From (ax+d)(bx+c), if we multiply ax and bx, we get the ax²

If we multiply ax and c, we get acx and we multiply d and bx, we get dbx. (axc+bdx) = bx

If we multiply d and c, we get c.

From the factor lf 16, 2×8 seems to be right since -8+2 equals -6 which matches the equation.

Then we get.

(x - 8)(x  + 2) = 0

Seperate both equations.

x - 8 = 0 \\ x + 2 = 0

Find the value of both x.

x = 8 \\ x =  - 2

The answer is x = -2, 8

(The explanation might be weird since I don't know what they are called in English.)

3 0
4 years ago
Read 2 more answers
What is the absolute value<br> 3|x+6|-7=20
zzz [600]
<h3>Answer:</h3>

\large\boxed{x=3\,\,\text{or}\,\,x=-15}

<h3>Step-by-step explanation:</h3>

In this question, we're solving the equation with the absolute value.

In this case, we would be solving for x.

The equation we are solving is:

3|x+6|-7=20

Lets solve:

3|x+6|-7=20\\\\\text{First, we add 7 to both sides}\\\\3|x+6|=27\\\\\text{We need to get the absolute value by itself, so}\\\text{we would divide both sides by 3}\\\\|x+6|=9\\\\\text{For absolute value, there could be two possiblities}\\\\x+6=9\,\,\text{or}\,\,x+6=-9\\\\\text{We would solve for both}\\\\x+6=9\\\\\text{Subtract 6 from both sides}\\\\x=3\\\\x+6=-9\\\\\text{Subtract both sides by 6}\\\\x=-15\\\\\boxed{x=3\,\,\text{or}\,\,x=-15}

Your answer would be x = 3 or x = -15

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
7 0
4 years ago
A bag contains 10 counters
juin [17]

44%

6/10 = 3/5

3/5 x 1/10 = 3/50

3/50 x 1/10 = 3/500

3/500 / 2/6 = 44/100

7 0
3 years ago
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