How do I solve for n?
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determine whether the following is valid or invalid: it's easy enough to do logic if you think logically. fortunately, i have no trouble doing logic, so i guess i think logically.
A rectangle is three times as long as it is wide. If the total area of the rectangle is 48 square inches, what is the length of the rectangle?
4(8x + 1) − 3x = 2 − 3(4x + 2)good luck!
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium?
04
0
12
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so the answer is 12
f(x) = 3x-5 if x≤−1
-2x+3 if −1 2 if x≥4
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Answer:
Step-by-step explanation:
To graph a piecewise function, we need to graph each piece separately and then put the pieces together.
The first piece of the function is f(x) = 3x-5 if x ≤ -1. This is a linear function with a slope of 3 and a y-intercept of -5. To graph this piece, we can plot two points on the line and then connect them.
For example, we can plot the points (-1, -2) and (-2, -11). Once we have plotted the points, we can connect them with a straight line.
The second piece of the function is f(x) = -2x+3 if -1 < x ≤ 2. This is also a linear function with a slope of -2 and a y-intercept of 3. To graph this piece, we can plot two points on the line and then connect them.For example, we can plot the points (0, 3) and (1, 1). Once we have plotted the points, we can connect them with a straight line.
The third piece of the function is f(x) = 2 if x > 2. This is a constant function, so it will be a horizontal line at y = 2.Once we have graphed each piece of the function, we can put the pieces together to get the graph of the entire function.
I hope this helps!
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The function is increasing from x = 0 to x = 1..
The function is decreasing from x = −1 to x = 0..
The function is decreasing from x = 0 to x = 1..
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B ) The function is increasing from x = 0 to x = 1
Explanation: g ( 0 ) = 2, g ( 1 ) = 17, 2 < 17.
Answer:
The statement that is true for the function is:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
We are given a table of values for the function g(x) as:
x g(x)
-2 2
-1 -3
0 2
1 17
By looking at the table of values of the function g(x) we have:
The function g(x) is firstly decreasing from x=-2 to x=-1
Then it is increasing from x=-1 to x=1.
Hence, the statement that holds true from the given set of values of function g(x) is:
The function is increasing from x = 0 to x = 1.
( Since, the function takes the value at x=0 as g(x)=2
and the function takes the value at x=1 as g(x)=17)
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Equation is
y-3=2(x+1)
or
y=2x+5
An other point : if x=0 y= 5 is (0,5)
g(x) = (x + 9)^2 − 4
g(x) = (x − 4)^2 + 9
g(x) = (x + 4)^2 + 9
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This is one way:
The vertex is (4,9)
1)g(4)=(4+9)²+4=13²+4≠9
2)g(4)=(4+9)²-4=13²-4≠9
3)g(4)=(4-4)²+9=0²+9=9 yes!!!!
4)g(4)=(4+4)²+9=8²+9≠9
Answer C