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3 years ago

8x+4(x-3)=4(6x+4)-4 please help

Mathematics

1 answer:

kvasek [131]3 years ago

5 0

Answer:

x = -2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x + 4(x - 3) = 4(6x + ) -4

8x +(4)(x) + (4)(-3) = (4)(6x) + (4)(4) + -4 (distribute)

8x + 4x + -12 = 24x + 16 + -4

(8x) + (4x) +(-12) = (24x) + (16 + -4) (combine like terms)

12x + -12 = 24x + 12

12x -12 = 24x + 12

Step 2: Subtract 24x from both sides.

12x -12 -24x = 24x + 12 -24x

-12x -12 = 12

Step 3: Add 12 to both sides.

-12x - 12 + 12 = 12 + 12

-12x = 24

Step 4: Divide both sides by -12.

-12x/-12 = 24/-12 x = -2

HOPE THIS HELPED!!!

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3 years ago

Solve for v in the formula v = u + 10t when u = 16 and t = 4. a. v = -22 c. v = 56 b. v = 3 d. v = 40

Katen [24]

Hello!

You put 16 in for u and 4 in for t

v = (16) + 10(4)

Multiply

v = 16 + 40

Add

v = 56

The answer is v = 56

Hope this helps!

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2 years ago

A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta

kiruha [24]

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

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4 0

3 years ago

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Lynna [10]

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Hope this helps!

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3 years ago

What is the equation of the exponential graph shown?

Evgesh-ka [11]

Answer:

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Step-by-step explanation:

Exponential function is:

f(x) = a*bˣ

Use two points on the graph to determine the value of a and b:

(0, 100), (1, 50)

Find the values of a and b:

f(0) = a*b⁰ = a = 100
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The function is:

f(x) = 100*(1/2)ˣ

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2 years ago