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julsineya [31]
3 years ago
10

If 2x^2+5x-12=(2x-3)(x+4) which equations should be solved to find the roots of 2x^2+5x-12=0

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer:

The equation should be solved to find the roots of 2x² + 5x - 12 = 0 is

(2x - 3)(x + 4) = 0

Step-by-step explanation:

The roots of an equation is values of x when y is equal to zero

∵ y = 2x² + 5x - 12 is a quadratic equation

∴ The roots of the equations are values of x when y = 0

∵ The factorization of 2x² + 5x - 12 is (2x - 3)(x + 4)

∵ 2x² + 5x - 12 = (2x - 3)(x + 4)

∵ 2x² + 5x - 12 = 0

- Equate the right hand side above by 0

∴ (2x - 3)(x + 4) = 0

- Now equate each bracket by 0 to find the values of x

∵ 2x - 3 = 0

- Add 3 to both sides

∴ 2x = 3

- Divide both sides by 2

∴ x = 1.5

∵ x + 4 = 0

- Subtract 4 from both sides

∴ x = -4

∴ The roots of the equations are -4 and 1.5

The equation should be solved to find the roots of 2x² + 5x - 12 = 0 is

(2x - 3)(x + 4) = 0

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Assignment: Translating Functions Investigation
Leto [7]

Answer:

Part A)

1) The graph in the attached figure N 1

2) The coordinate rule is (x,y) -----> (x,y+10)

3) The translation of the function up 10 units means that the initial deposit is $60 instead of $50

Part B)

1) The graph in the attached figure N2

2) The coordinate rule is (x,y) -----> (x-10,y)

3) The translation of the function right 10 units means that the initial deposit is equal to $10

Part C)

1) In each translation, the slope is the same (m=5) are parallel lines

2) The vertical translation would be up 40 units

Step-by-step explanation:

we have

f(x)=5x+50

where

f(x) --> represents Jeremy's account balance

x ---> the time in years

Part A)

The translation of the function is up 10 units.

The rule of the translation is equal to

(x,y) -----> (x,y+10)

so

The new function will be

f(x)=5x+50+10

f(x)=5x+60

The graph in the attached figure N 1

The translation of the function up 10 units means that the initial deposit is $60 instead of $50

Part B)

The translation of the function is right 10 units.

The rule of the translation is equal to

(x,y) -----> (x-10,y)

so

we have

f(x)=5x+60 ----> function Part A

The new function will be

f(x)=5(x-10)+60

f(x)=5x+10

The graph in the attached figure N 2

The translation of the function right 10 units means that the initial deposit is equal to $10

Part C)

1. Look at the translations, what characteristic of the graph stayed the same in each translation?

In each translation, the slope is the same

The slope m is equal to m=5  

Are parallel lines

2. Look at the original graph and the graph of the translation right 10 units. What vertical translation of the graph in Part B would put the graph back to its original position?

we have

f(x)=5x+10

The vertical translation would be up 40 units

The rule of the translation is equal to

(x,y) -----> (x,y+40)

so

The new function will be

f(x)=5x+10+40

f(x)=5x+50

3 0
3 years ago
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lana66690 [7]

Answer:

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m<2

= 180degree - 128degree ( being cointerior angle)

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