Hey there!
This equation we're given is a function. This means that we will get a certain output for each input. If your input is x, the output, or y, will be 0.3 of x plus 11.8. It appears that the independent variable (our x) is the age in the table and the height of the jump is the dependent variable (our y). We can plug some of the data into our function and see if it is true! We will use the first two columns of the table to test this out.
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Column 1
Age: 22
Height of Jump in Inches: 15.4
15.4=0.3(22)+11.8
15.4=6.6+11.8
15.4=18.4
This is equation is false, so this data point does not match the given function. We can check with one more column just to make sure, but just given this we immediately know that the given equation is not a good fit for the data.
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Column 2
Age: 24
Height of Jump in Inches: 17
17= 0.3(24)+11.8
17=7.2+11.8
17=19
This is equation is also false.
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Therefore, this equation is not a good fit for the data given.
I hope that this helps! Have a wonderful day!
Answer:
3 cans
Step-by-step explanation:
We need to find the area of the deck
A = 9 1/9 * 3
Changing to an improper fraction
9 1/9 = (9*9+1)/9 = 82/9
A = 82/9 *3 = 82/3
Changing back to a mixed number
82/3 = 27 1/3
Each can covers 10 m^2
We will need 3 cans
Answer:
x = 41.2
Step-by-step explanation:
Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.
Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.
Answer:
30
Step-by-step explanation:
2/3 = x/18
2*18 = 3x
36 = 3x
x=12
so there are 12 boys
12+18=30
