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kolezko [41]
3 years ago
12

What is the factorization of the expression below 16x2 - 49?

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
7 0

16 {x}^{2}  - 49 \\  =  {(4x)}^{2} -  {7}^{2}   \\  = (4x - 7)(4x + 7)
Vilka [71]3 years ago
4 0

Answer:

16 {x}^{2}  - 49 \\  =  {(4x)}^{2} -  {7}^{2}   \\  = (4x - 7)(4x + 7)

Step-by-step explanation:

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What Numbers Go Into The Venn Diagram
antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

    greater than 9 is  10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the  sum greater or equal to 9 and is

     also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or,   S   =   {2,3,4,5,6,7,8,9,10,11,12}

(a)  The number of ordered pairs where sum is  9 or greater than 9

    = { sum is 9  ,  Sum is 10 ,  Sum is 11,   Sum is 12}

    = {(6,3)(3,6),(4,5)(5,4) ,   (5,5), (6,4),(4,6)  , (6,5)(5,6),   (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is  10

(b)  The number of ordered pairs where sum is odd.

    = { Sum is 3 ,  Sum is 5,   Sum is 7, Sum is 9, Sum is 11}

    = {(1,2)(2,1),   (4,1)(1,4),(2,3)(3,2) ,   (6,1), (1,6),(5,2),(2,5),(4,3)(3,4)  ,

        (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 18

Hence total number of outcomes where the sum is odd = 18

(c) Intersection point refers the outcomes which have sum greater or equal to 9 and is odd

Here, the possible outcomes are  = { Sum is 9 ,  Sum is 11}

                                            ={ (6,3)(3,6), (4,5)(5,4),  (6,5),(5,6)}  = 6

Hence total number of outcomes where the  sum greater or equal to 9 and is also odd = 6

6 0
3 years ago
Given the volume of a sphere is 268.1cm^3, what is she surface area?
EastWind [94]
SA=201.7cm^2 
I used the equation 
SA=pi^1/3(6*V)^2/3 in case you have any more questions like this 
3 0
3 years ago
What do you do when you have two exponent in the same parentheses adding to each other
morpeh [17]

Answer:

Raise the power

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the common difference of the sequence 8, 4, 0, -4, -16?
soldier1979 [14.2K]

\large \mathfrak{Solution : }

Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.

i.e

  • common \:  \: difference = 4 - 8
  • common \:  \: difference =  - 4

therefore, the common difference of the above Arithmetic progression is -4 .

7 0
3 years ago
X intercept of the equation below?Y-12=-2(x+3)-2y
avanturin [10]

Answer:

x=3

Step-by-step explanation:

The way you find x-intercepts is by setting y equal to 0. So then you just solve for x.

(0)-12=-2(x+3)-2(0)

-12= -2x -6 -0

-12 = -2x -6

-6 = -2x

x = 3

Hope this helped.

6 0
3 years ago
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