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WITCHER [35]
3 years ago
9

Is - 5/2 a rational number

Mathematics
1 answer:
ad-work [718]3 years ago
6 0
No rational needs to be writing in decimal form not fraction
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Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number
Triss [41]

Answer:

By definition, the derivative of f(x) is

lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}

Let's use the definition for f(x)=\frac{1}{x}

lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}

Then, f'(x)=\frac{-1}{x^2}

7 0
4 years ago
Will mark brainlyest!!
butalik [34]

Answer:

A = 120 cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is:

A = 2(area of the top) + 2(area of the front) + 2(area of one side)

Substituting the values:

A = 2(20) + 2(16) + 2(24)

First, distributing:

A = 40 + 32 + 48

Then adding, giving your final answer

A = 120 cm^2

Hope this helps you :)

6 0
2 years ago
Find the coordinates of the midpoint of the segment with endpoints A(-5, 6) and B(3, 2). You must show all work in order to rece
OLga [1]
Midpoint Formula = M = ( \frac{ x_{1}+x_{2}}{2}) + ( \frac{ y_{1} + y_{2}} {2})

We are given the coordinates: A(-5,6) and B(3,2)
Plug the values into the equation to get:
M = ((3 - 5)/2, (2 + 6)/2)
Now, just solve it down to get M = (-1,4).

The midpoint of the segment with endpoints A(-5,6) and B (3,2) is (-1,4). Hope this helps ALot and have a wonderful day!
4 0
4 years ago
How do you find X and Y?<br> 4y + 5z = 60<br> 5x + 3y = 60<br> 4x + 3z = 60
oee [108]

Answer:

1. y=5    x=8

2. x=9     y=5

3. x=12    z=4

Step-by-step explanation:

1.    4(5)+5(8)=60

2.   5(9)+3(5)=60

3.   4(12)+3(4)=60

6 0
3 years ago
PLEASE ANSWER AND EXPLAIN | 98 POINTS
9966 [12]

<em>Answer:</em>

<em>d</em>

<em />

<em>0.9</em>

<em />

<em>The value of a correlation coefficient ranges between -1 and 1.</em>

<em />

<em>The greater the absolute value of the Pearson product-moment correlation coefficient, the stronger the linearrelationship.</em>

<em />

<em>The strongest linear relationship is indicated by a correlation coefficient of -1 or 1.</em>

<em />

<em>The weakest linear relationship is indicated by a correlation coefficient equal to 0.</em>

<em />

<em>A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.</em>

<em />

<em>A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.</em>

<em />

<em />

<em>hope it helps.</em>

<em />

3 0
4 years ago
Read 2 more answers
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