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kotykmax [81]
3 years ago
5

What is one factor of 20x2 + 6x − 8

Mathematics
2 answers:
Furkat [3]3 years ago
8 0
You can factor out a 2 from all. Idk if that helps but here ya go. 10x+3x-4
neonofarm [45]3 years ago
6 0
You can divide a factor of 2 from all terms:
  2(10x² +3x -4)

You can look for factors of 10×(-4) = -40 that add to 3.
  -40 = 40×-1 = 20×-2 = 10×-4 = 8×-5 . . . . . these last ones add to 3

Now, you know the factorization is
  2(10x +8)(10x -5)/10 = 2(5x +4)(2x -1)

One factor of 20x² +6x -8 is any of
  2
  5x +4
  2x -1
or any product of 2 of these.
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Graph the line and the parabola and find the points of intersection: y= 3-x ; y=x(squared)+x-12
melomori [17]

Answer:

Step-by-step explanation:

We have to graph a line y = 3 - x which has the slope = -1 and y intercept 3.

We will select two points where line intersects at x = 0 and y = 0

The given line will intersect x-axis at (3, 0) and at y- axis (0, 3).

Joining these two points we can draw a straight line showing y = -x + 3

Now we will draw the parabola given by equation y = x² + x - 12

We will convert this equation in vertex form first to get the vertex and line of symmetry.

Standard equation of a parabola in vertex form is

y = (x - h)² + k

Where (h, k) is the vertex and x = h is the line of symmetry.

y = x² + x - 12

y = x² + 2(0.5)x + (0.5)²- (0.5)²-12

y = (x + 0.5)² - 12.25

Therefore, vertex will be (-0.5, -12.25) and line of symmetry will be x = 0.5

For x intercept,

0 = (x + 0.5)² - 12.25

x + 0.5 = ±√12.25

x = -0.5 ± 3.5

x = -4, 3

For y- intercept,

y = (0+0.5)² - 12.25

 = 0.25 - 12.25

y = -12

So the parabola has vertex (-0.5, - 12.25), line of symmetry x = 0.5, x intercept (4, 0), (and y-intercept (0, -12).

Now we have to find the points of intersection of the given line and parabola.

For this we will replace the values of y

3 - x = x² + x - 12

x² + 2x - 15 = 0

x² + 5x - 3x - 15 = 0

x(x + 5) - 3(x + 5) = 0

(x - 3)(x + 5) = 0

x = 3, -5

For x = 3

y = 3- 3 = 0

For x = -5

y = 3 + 5 = 8

Therefore, points of intersection will be (3, 0) and (-5, 8)

 

4 0
3 years ago
This make no sense:
saveliy_v [14]

Answer:

D is correct.

Step-by-step explanation:

Hoped this helped!

Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!

5 0
2 years ago
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WHAT IS IT CAN YOU TELL PLEASE
nataly862011 [7]
It’s c i’m 99% sure ???
3 0
2 years ago
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Find the length of the missing side х<br> 10.6<br> 8.6
Yanka [14]

Answer:

13.65

Step-by-step explanation:

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2 years ago
A pie is 3/4 and 2/3 of the pie is eaten what is left
Sidana [21]
Answer:
1/12 is left

Step by step explanation:
Find the common denominator which is 12 then you would get 9/12 (Originally 3/4) and 8/12 (Originally 2/3) and then you subtract which gets you 1/12
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3 years ago
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