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Ratling [72]
2 years ago
13

What is the factorization of the expression below?

Mathematics
2 answers:
Ksenya-84 [330]2 years ago
5 0

Answer:

Well factorizing 16x^2-49

You can use the difference of squares

Which is when theirs 2 perfect sqaures and it’s a subtraction problem.

So 16x^2 - 49

the formula is

a^2-b^2= (a+b) (a-b)

16x^2 - 7^2 = (a+b) (a-b)

SO plug it in

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

Thats simplified to the max

So your answer would be (c)

sesenic [268]2 years ago
4 0

16x² - 49

= (4x)² - 7²

Identity =》 a² - b² = (a + b) (a - b)

(4x)² - 7²

= (4x + 7) (4x - 7) [3rd option]

_______

Hope it helps ⚜

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Ben claims that 12 is a factor of 24.how can you check whether he is correct?
Anna71 [15]

Divide the  24  by Ben's  12 . 

If his  12  is a factor, then the division will come out even,
and the answer will be a whole number.

A).  6 x 4 = 24

B).  5 x 9 = 45

C).  3 x 8 = 24

D).  6 x 9 = 54

8 0
2 years ago
The table below represents a linear function in the equation represents a function. table numbers are X: -1,0,1. f(x): -3,0,3. G
Alexxx [7]
A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points ( x_{1} , y_{1} ) and another ( x_{2} , y_{2} ). It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.

Let's pick as follows:
( x_{1} , y_{1} )= (0.0)
( x_{2} , y_{2} )= (1.3)

The slope formula is: m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1}  }
We now substitute the values we got from the points to obtain.
m= \frac{3-0}{ 1-0 } = \frac{3}{1}=3

The slope of f(x) = 3

SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.

That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.

The slope of g(x) = 2

B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.

Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0

So the function g(x) has the greater y-intercept
5 0
3 years ago
What is the slope of the line that passes through the points (10,-6) and (8, -16)?
gulaghasi [49]

Answer:

y = 5x -56

Step-by-step explanation:

Delta y over Delta x for slope. Plug in x = 0 for y int.

y = 5(0) -56

y = -56

8 0
3 years ago
A sphere with a diameter of 30 inches is placed in a cube. The sphere touches the lateral faces
Nina [5.8K]

Answer:

a) 30 inches × 30 inches × 30 inches

b) 27,000 inches³

c) 14,130 inches³

d) 12,870 inches³

Step-by-step explanation:

Edge of the cube = diameter = 30 inches

Volume of cube = s³

30³ = 27000 inches³

Radius = 30/2 = 15

Volume of sphere:

(4/3) × 3.15 × 15³

14130 inches³

Difference:

27000 - 14130

12870 inches³

5 0
3 years ago
Pleasaaaaseee answer the all for BRAINLEST answer and thanks
kow [346]
X=2/4=1/2
s=1 1/2
r= 1/2
y= 2/7
w= 1 2/3
p=2/5
Hope this works i can't see the others ok?
3 0
3 years ago
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