Answer:
see below for the graph
Step-by-step explanation:
The desired graph has two y-intercepts and one x-intercept. It is not the graph of a function.
Here's one way to get there.
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Start with the parent function y = |x| and scale it down so that it has a y-intercept of -1 and x-intercepts at ±1.
Now, it is ...
f(x) = |x| -1
We want to scale this vertically by a factor of -5. this puts the y-intercept at +5 and leaves the x-intercepts at ±1.
Horizontally, we want to scale the function by an expansion factor of 3. The transformed function g(x) will be ...
g(x) = -5f(x/3) = -5(|x/3| -1) = -5/3|x| +5
This function has two x-intercepts at ±3 and one y-intercept at y=5. By swapping the x- and y-variables, we can get an equation for the graph you want:
x = -(5/3)|y| +5
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<em>Comment on this answer</em>
Since there are no requirements on the graph other than it have the listed intercepts, you can draw it free-hand through the intercept points. It need not be describable by an equation.
Answer:
1) 11/100 or 0.11
2) 3/1000 or 0.003
3) 113/1000 0.113
Step-by-step explanation:
Firstly, hundredths is the same as 1/100.
Multiply every number by 1/100.
11/1 • 1/100 = 11/100 or 0.11
(Remember, 11 over 1 is the same as 1. Multiply the numerators and denominators and you get 11/100).
3/10 • 1/100 = 3/1000 or 0.003
11.3/1 • 1/100 = 113/1000 or 0.113
(Move the decimal once to the right to get rid of the decimal point).
Hope this helps!
2 grams would be the answer
One way of calculating decimal sum is by using partition
8.3 = 8 + 0.3
5.2 = 5 + 0.2
4.36 = 4 + 0.3 + 0.06
42.1 = 42 + 0.1
86.0 = 86
Add the units together: 8 + 5 + 4 + 42 + 86 = 145
Add the tenth together: 0.2 + 0.3 + 0.3 + 0.1 = 0.9
Add the hundredth together: 0.06 (we only have one value in hundredth)
Then add all the answers together: 145 + 0.9 + 0.06 = 145.96
Answer 145.96 is correct to two decimal places
If we want to round this answer to correct significant figures, it would depend on how many significant figures are asked.
For example:
145.96 to one significant figure is 100.00
145.96 to two significant figure is 150.00
145.96 to three significant figure is 146.00
and so on
Correct answer: 146.00 (answer is rounded to three significant figures)
Answer:
-3c^2 +6
Step-by-step explanation:
The equation will be an identity (0=0) when M is equal to the contents of the parentheses. That polynomial can be used directly, or it can be simplified by combining the c^2 terms.
The contents of parentheses simplify as follows:
... (4c^2 -7c^2 +6) = (c^2(4 -7) +6) = (-3c^2 +6)