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geniusboy [140]
2 years ago
7

Simplify the following expression: -6x + 4(-x - 3)

Mathematics
2 answers:
Gekata [30.6K]2 years ago
7 0

Answer:

-10x - 12

Step-by-step explanation:

-6x + 4(-x-3)

First, distribute the 4 to the (-x-3)

-6x + [(-4x)+(4 x -3)]

-6x + (-4x - 12)

Eliminate the parentheses

-6x + -4x - 12

Combine like terms

-10x - 12

masya89 [10]2 years ago
5 0

Answer:−10x-12

explanation is:-----------------

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Answer:

y = 18x + 10

slope = 18

y-intercept = 10

Step-by-step explanation:

The situation given in the problem is linear and can be represented using slope-intercept form of a linear equation: y = mx + b, where 'm' is equal to the slope, 'b' is equal to the y-intercept, 'x' is the number of hours and 'y' is the total number of miles.  

Given that Jasmine has already biked 10 miles, her initial value, or y-intercept would be 10.  Since she is now biking at a rate of 18 miles per hour, her rate of change, or slope, would be 18.  

Using these values for 'm' and 'b': y = 18x + 10

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there are 8 students on the minibus. five of the students are boys. what fraction of the students or boys?
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Question 4 (1 point)
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Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

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f(x) = -16t^2 + 64t + 960 .....(1)

When it will hit the ground, f(x) = 0

-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0

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t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s

Put t = 2 in equation (1)

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Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

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