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2 years ago

What is the slope of the line that passes through the points (9, -1) and (4, -11)?

Mathematics

1 answer:

mixas84 [53]2 years ago

4 0

Answer:

Step-by-step explanation:

We have two points so we can find the slope

m = ( y2-y1)/(x2-x1)

= ( -11 - -1)/( 4 -9)

= (-11+1)/( 4-9)

-10/ -5

= 2

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3 years ago

Simplify the expression:<br> 7–3p+4p

trapecia [35]

Answer:

7 + p

Step-by-step explanation:

Solve:

7 - 3p + 4p

Simplify using like terms

Wrote problem using addition

7 + ( -3p + 4p)

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3 years ago

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kobusy [5.1K]

Answer:

0.85 hours

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Step-by-step explanation:

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3 years ago

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Diano4ka-milaya [45]

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2 years ago

For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

5 0

2 years ago