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2 years ago

7 x-3(4 x-8)<6 x+12-9 x

Mathematics

1 answer:

kari74 [83]2 years ago

6 0

Answer:

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the variable to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the constant to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

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nswer:

Step-by-step explanat

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3 years ago

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2 years ago

Find the coordinates of the turning point for the equation of the graph below y=x^2+14x+45

USPshnik [31]

Answer:

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Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the turning point is

x = - $\frac{b}{2a}$

y = x² + 14x + 45 ← is in standard form

with a = 1, b = 14 , then

x = - $\frac{14}{2}$ = - 7

Substitute x = - 7 into the equation and evaluate for y

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coordinates of turning point = (- 7, - 4 )

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3 years ago