You can use the butterfly method. Two numbers that equal A times C must also add up to B. A=1 B=-10 C=21. A times C is 21 and B is -10. Two numbers that multiply to 21 and add to -10 are -7 and -3. Factored form: ( x - 7 )( x - 3 ).
Answer:
a. Chart (attached)
b. and c. graph attached
Step-by-step explanation:
a. We use the equation given to us and plug in the values of "x" that have been shown to find the corresponding values of y.
So, when x=0, 
when x=20, 
when x=40, 
b. The graph has been shown in a similar manner. All the three points of part a are connected to form the straight line y=6.75x+25. So, we have (0,25), (20,160) and (40, 295)
c. The y axis is the earnings in dollars and the x axis is the number of hours worked.
Answer:
Median and Mode.
Step-by-step explanation:
The data could be represented in table form in ascending order as:
<u>Number of meals</u> <u> Frequency</u>
2 2
3 3
4 2
19 1`
On the basis of the data now we find the mean, median and mode:
Mean= average of the data
Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5
Hence mean is 5.
Median is the central tendency of the data
on looking at our data we see that the Median=3.
also the mode of the data is the entry corresponding to the highest entry.
Hence the highest frequency is 3 and the corresponding value is 3.
Hence, Mode=3
Hence, the most appropriate measure of center for this situation is :
Median and Mode.
<u>Answer</u>:
Length will be 46 ft and width will be 16 ft
<u>Explanation</u>:
Let the width be x.
then the length will be 3x - 2
using the rectangle perimeter formula:
2( length + width )
2(x + 3x-2) = 124
2(4x-2) = 124
8x - 4 = 124
8x = 128
x = 16 ft
Width will be 16 ft and
Length: 3x - 2
: 3(16)-2
: 46 ft
As the x-values got to + infinity, the function's values got to + infinity. This is a graph in which the positive end continues to go up indefinitely, meaning the function's values will end up becoming more and more positive as you go along the positive end of the x axis.
