Which function described below has the greatest rate of change? I WILL MARK BRAINLIEST

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

Answer:

C III

Step-by-step explanation:

The rate of change of a linear function is the slope.

f(x) = mx + b is the equation of a linear function whose graph is a straight line. m is the slope.

I f(x) = 4x - 3; m = slope = 4

II f(x) = 1/2 x + 5; m = slope = 1/2

III We can use two points to find the slope.

Let's use points (1, 6) and (2, 12).

m = slope = (y2 - y1)/(x2 x1) = (12 - 6)/(2 - 1) = 6/1 = 6

The three slopes are 4, 1/2, 6.

The greatest rate of change is 6, so the answer is C III.

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The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object

KATRIN_1 [288]

From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;

F = ma

In this case, m = 5kg, a = 6m/s^2 and we want to find F

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F = 30N

Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.

8 0

3 years ago

Explain how you have solved for x and show your workings out. I will award the brainliest 25 points!

Brums [2.3K]

Answer:

The value of $x$ is 10º.

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:

$100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ}$ (1)