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GenaCL600 [577]
2 years ago
12

Reduce to lowest term. 2x^2- 18/x^2+4x-21​

Mathematics
1 answer:
Dovator [93]2 years ago
6 0

Answer:

\frac{2(x+3)}{x+7}

Step-by-step explanation:

Given

\frac{2x^2-18}{x^2+4x-21} ← factorise numerator and denominator

2x² - 18 ( factor out 2 from each term )

= 2(x² - 9) ← difference of 2 squares

= 2(x - 3)(x + 3)

and

x² + 4x - 21 = (x + 7)(x - 3) , then

= \frac{2(x-3)(x+3)}{(x+7)(x-3)} ← cancel common factor (x - 3) on numerator/ denominator

= \frac{2(x+3)}{x+7}

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What is the factorization??
aivan3 [116]

We first find the zeros of the function , the zeros of the function are those at which points the graph of the function crosses or touches the x axis

here we can see in the graph that graph crosses the x axis at two points , 1 and 7

So the zeros of the function are

x=1 and x=7

It means the factor are

(x-1) and (x-7)

So the factorization is given by

(x-1)(x-7)

7 0
3 years ago
What is the product??
tangare [24]

Answer:

The answer to your question is the third choice

Step-by-step explanation:

To solve this problem, just multiply 6 by each of the numbers of the matrix and simplify.

            6   |  4  -2  1 |   =   | (6 x 4)   (6 x -2)   (6 x 1) |  

                 |  7   3   0|        | (6 x 7)   (6 x 3)    (6 x 0) |

                                    =   | 24   -12   6 |

                                         | 42    18    0 |

The first choice is wrong because only multiply by six the first row.

The second and fourth rows are incomplete.

7 0
3 years ago
The table shows ordered pairs for a polynomial function, f. What is the degree of f?
Kazeer [188]

Answer:

5th degree

Step-by-step explanation:

To solve this problem/table, you have to find the differences in the f(x) side of the table until the differences between the numbers are the same, and then you have your degree. Look at the image attached for more sense

4 0
3 years ago
If NTM is congruent to OUM, SP is congruent to SQ, S is the center of the circle, and OM = 18, find NT. Round the answer to the
Aleks [24]
OM=18, so OQ=QM=18/2=9.
 Given QU=8
from figure OQU is a right angled triangle , so OU^2=OQ^2 + QU^2
OU^2 = 9*9 + 8*8 = 81+72=153;
OU=sqrt(153) = 12.37 =13(approx);
From given statements of congruent NT and OU will also be congruent or identical. So, NT=OU=13
4 0
3 years ago
N - 4 = 3n + 6<br> what number does n represent?
pav-90 [236]

Answer:

n = -5

Step-by-step explanation:

n - 4 = 3n + 6

n = 3n + 10

-2n = 10

n = -5

7 0
3 years ago
Read 2 more answers
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