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balandron [24]
3 years ago
12

25

Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

m = \frac{5}{7}

m_2 = \frac{5}{21}

Step-by-step explanation:

Given

(x_1,y_1) = (7,5)

(x_2,y_2) = (21,15)

Using the available details, the solution goes thus:

Solving (a): The slope (m) of this line:

m = \frac{y_2 - y_1}{x_2 - x_1}

This gives:

m = \frac{15 - 5}{21 - 7}

m = \frac{10}{14}

Simplify:

m = \frac{5}{7}

Solving (b): Another line with 1/3 of the slope.

This is calculated using:

m_2 = \frac{1}{3} * m

m_2 = \frac{1}{3} * \frac{5}{7}

m_2 = \frac{5}{21}

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Umnica [9.8K]

Given:

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y=6x^2-15x+6

To find:

The x-intercepts of the given equation.

Solution:

We have,

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Splitting the middle term, we get

y=6x^2-12x-3x+6

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For x-intercepts, y=0.

(x-2)(6x-3)=0

Using zero product property, we get

x-2=0\text{ and }6x-3=0

x=2\text{ and }6x=3

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3 years ago
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Step-by-step explanation:

8 0
3 years ago
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Determine which function has the greatest rate of change as x approaches infinity.
Mekhanik [1.2K]

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Step-by-step explanation:

The rate of change of a function is equal to the derivate:

remember that a derivate of the form:

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Then we have:

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h'(x) = 2*3*x - 1*7 = 6*x - 7

So the only that increases as x increases is h(x), this means that the greates rate of change as x approaches inffinity is the rate of change of h(x)

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