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nekit [7.7K]
3 years ago
9

Factor the expression below. 16x^2-49

Mathematics
1 answer:
zysi [14]3 years ago
8 0

Answer:

(4x + 7) (4x - 7)

Step-by-step explanation:

16x^2 will be broken down to 4x and 4x since when you multiply them, it will equal 16x^2

Then -49 can be broken down to 7 & -7 since 7 x (-7) = -49

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Answer:

Step-by-step explanation:

13) x⁴-12x² +36    

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(x²)² - 2 * x² * 6 + 6² =  (x² - 6)²

14) w⁴- 14w² - 32 =     w⁴+ 2w² - 16w² - 32  = w² (w² + 2) - 16 (w²+2)

                           = (w² + 2) (w² -16 )

15) k³ + 7k² - 44k = k ( k² + 7k -44)  = k ( k+11 ) ( k-4 )

16) 2a³ +28a²+96a =2a(a²+14a+48) = 2a(a+6)(a+8)

17) -x³ +4x² +21x = (-x) ( x² - 4x - 21) = (-x)(x-7)(x+3)

18) m⁶ - 7m⁴ -18m² = m² ( m⁴-7m²-18) = m² (m²-9)(m²+9)

                             = m² (m+1) (m-1)(m²+9)

19) 9y⁶ +6y⁴ + y²= y² ( 9y⁴+6y²+1) = y² (3y²+1)²

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Which of the following is true about a linear function?
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It has a constant rate of change
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45

Step-by-step explanation:

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Aleonysh [2.5K]

Answer with Step-by-step explanation:

16 19 21 26 27 29 34 35 35 39 40 41 42 50 50 52 57 60 75 76 78 81 84

the data is already arranged in ascending order

Min=16

Max=84

The quartiles for the odd set of data is given by

Qi=\dfrac{i(n+1)}{4}\ th\ term

where n is the number of elements

Here, n=23

Q1=\dfrac{(23+1)}{4}\ th\ term

Q1=6 th term

Q1=29

Q2=12 th term

Q2=41

Q3=18 th term

Q3=60

Hence, five-number summary for the given data is:

Min  Q1   Q2   Q3   Max

16     29   41     60    84

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3 years ago
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