3 years ago

How would you write the name of a ray differently than the name of a line? What symbols would you use?

1 answer:

3 0

For a line you would draw a straight line with arrows on each end and for a ray you would draw a straight line with an arrow on only one end (depends on which way ray is pointing)

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Use the limit definition of the derivative to find the instantaneous rate of change of

Lynna [10]

$f'(4) = 43$

Explanation:

Given: $f(x)=5x^2 + 3x + 3$

$\displaystyle f'(x)= \lim_{h \to 0} \dfrac{f(x+h) - f(x)}{h}$

Note that

$f(x+h) = 5(x+h)^2 + 3(x+h) + 3$

$\:\:\;\:\:\:\:= 5(x^2 + 2hx + h^2) + 3x + 3h +3$

$\:\:\;\:\:\:\:= 5x^2 + 10hx + 5h^2 + 3x + 3h +3$

Substituting the above equation into the expression for f'(x), we can then write f'(x) as

$\displaystyle f'(x) = \lim_{h \to 0} \dfrac{10hx + 3h + 5h^2}{h}$

$\displaystyle\:\:\;\:\:\:\:= \lim_{h \to 0} (10x +3 +5h)$

$\:\:\;\:\:\:\:= 10x + 3$

Therefore,

$f'(4) = 10(4) + 3 = 43$

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3 years ago

What is the distance between the points C(2,-3) and d(10,-3)

levacccp [35]

The difference between both points is 8

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PLEASE HELP. Quadratic Functions - Pre-Calculus 11.

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3 years ago

What is the slope of the line?

damaskus [11]

Answer:

- 7/4

Step-by-step explanation:

1) (y2 - y1)/(x2 - x1)

2) pick two points, mine were (1,-3) and (-3,4)

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4) Solve and no matter what points you’ll get -7/4

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