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3 years ago

3 2/3 of 4/5 of pizza equals how many pizza

Mathematics

1 answer:

Reil [10]3 years ago

7 0

Answer:

11/3 x 4/5 = 44/15 = 2 14/15

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PLEASE ANSWER ASAP!!

Rufina [12.5K]

Answer:

The instantaneous rate of increase of f(x) at $x_{0} = 3$ is 3.
One possible equation of this line is y = 3x - 16.
The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

Step-by-step explanation:

$\begin{aligned}&\lim_{h\to 0}{\frac{f(3+h)-f(h)}{h}}\\ =&\lim_{h\to 0}\frac{1}{h} \cdot [(3^{3} + 3 \times 3^{2}h +3\times 3h^{2} + h^{3})- 4(3^{2} + 2\times 3h + h^{2}) + 2 \\[-1em] &\phantom{\lim_{h\to 0}\frac{1}{h}\cdot []} -(3^{3} -4\times 3^{2} + 2)]\\ = &\lim_{h \to 0}\frac{h^{3} + 5h^{2} +3h}{h}\\=& \lim_{h \to 0}{h^{2}} + \lim_{h \to 0}{5h} + \lim_{h\to 0}{3}\\ =& 3\end{aligned}$ .

$f(3) = 3^{3} - 4\times 3^{2} + 2 =-7$ .

In other words, the graph of y = f(x) passes through the point (3, -7) where $x = 3$ .

The point-slope form of a line in a cartesian plane is:

$y - y_0 = m (x - x_0)$ .

For this line,

$(3, -7)$ is the point on the line, while

$3$ is the slope of the line.

The equation of this line will thus be

$y - (-7) = 3(x - 3)$ .

That's equivalent to

$y = 3x - 16$ .

Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

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3 years ago

zoey invested $230 in a account interest rate was 6.3% daily to the nearest hundred dollars, would be after 12 years

Gre4nikov [31]

$500 dollars is the answer to this problem

7 0

3 years ago

Find the slope intercept form of the line whose slope is 6 and that passes through the point (-5,10). What is the equation?

bagirrra123 [75]

I know this is old question but i'd like to solve it :)

8 0

2 years ago

What is the slope of the line shown?

IceJOKER [234]

It’s 2 because it starts at 6 and the next time the line meets a point is at (4,-1) you go down one and over two and you put x/y so it’s 2/1 which is 2. I think that’s right

5 0

2 years ago

Can someone please help me on this one question?

Katyanochek1 [597]

A+30 = 60
a = 30

a + 2b = 60
30+2b = 60
2b = 30
b = 15

5b - 5c = 60
5(15) - 5c = 60
5c = 15
c = 3

10c + d = 60
10(3) + d = 60
30 + d = 60
d = 30

2d + 6e = 180 - 60
2(30) + 6e = 120
6e = 60
e = 10

4f + 4e = 120
4f + 4(10) = 120
4f = 80
f = 20

5 0

2 years ago