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3 years ago

Simplify the expression by combining like terms 15+12x-5x+44-7

Mathematics

1 answer:

Eduardwww [97]3 years ago

8 0

Answer:

Simplifying

15 + 12x + -5x + 4y + -7 = 0

Reorder the terms:

15 + -7 + 12x + -5x + 4y = 0

Combine like terms: 15 + -7 = 8

8 + 12x + -5x + 4y = 0

Combine like terms: 12x + -5x = 7x

8 + 7x + 4y = 0

Solving

8 + 7x + 4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + 7x + -8 + 4y = 0 + -8

Reorder the terms:

8 + -8 + 7x + 4y = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 7x + 4y = 0 + -8

7x + 4y = 0 + -8

Combine like terms: 0 + -8 = -8

7x + 4y = -8

Add '-4y' to each side of the equation.

7x + 4y + -4y = -8 + -4y

Combine like terms: 4y + -4y = 0

7x + 0 = -8 + -4y

7x = -8 + -4y

Divide each side by '7'.

x = -1.142857143 + -0.5714285714y

Simplifying

x = -1.142857143 + -0.5714285714y

Step-by-step explanation:

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A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equ

Ierofanga [76]

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

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Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

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Answer:

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Step-by-step explanation:

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