Answer:
30 minutes
Step-by-step explanation:
Step-by-step explanation: Answer: around 64 minutes
We need to first set the two equal to each other.
We can model the first part using the slope intercept form.
y=.17x+15
We are trying to find the amount of minutes or x she can spend. We solve for x by using inverse operations.
However, the question states that she has already paid the flat fee of 15 dollars, so we are only doing .17x=10.92 (inverse operations for x)
X=64.23 minutes or around that.
Answer:
(8-3)(-7) =8×-7=-56 (-3)×(-7)=+21
Step-by-step explanation:
then -56+21= 77
Answer:
![{x}^{2} + {y}^{2} + 4x - 2y = - 1 \\ ( {x}^{2}+2\times2\times x + {2}^{2} ) - 4 + ({y}^{2} - 2 \times 1 \times y + {1}^{2} ) - 1 = - 1 \\ {(x + 2)}^{2} - 4 + {(y - 1)}^{2} - 1 = - 1 \\ {(x + 2)}^{2} + {(y - 1)}^{2} = 4\\ {(x + 2)}^{2} + {(y - 1)}^{2} = {( 2) }^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%2B%204x%20-%202y%20%3D%20%20-%201%20%5C%5C%20%28%20%7Bx%7D%5E%7B2%7D%2B2%5Ctimes2%5Ctimes%20x%20%2B%20%20%7B2%7D%5E%7B2%7D%20%29%20-%204%20%2B%20%20%28%7By%7D%5E%7B2%7D%20%20-%202%20%5Ctimes%201%20%5Ctimes%20y%20%2B%20%20%7B1%7D%5E%7B2%7D%20%29%20-%201%20%3D%20%20-%201%20%5C%5C%20%20%7B%28x%20%2B%202%29%7D%5E%7B2%7D%20%20-%204%20%2B%20%20%7B%28y%20-%201%29%7D%5E%7B2%7D%20-%201%20%3D%20%20-%201%20%5C%5C%20%20%7B%28x%20%2B%202%29%7D%5E%7B2%7D%20%20%20%2B%20%20%7B%28y%20-%201%29%7D%5E%7B2%7D%20%20%3D%204%5C%5C%20%20%7B%28x%20%2B%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%201%29%7D%5E%7B2%7D%20%20%3D%20%20%20%7B%28%202%29%20%7D%5E%7B2%7D%20)
Therefore, the centre of the circle is in <u>( -2, 1 )</u>
and the radius of the circle is 2.
<u>Formu</u><u>la</u><u> used</u><u> </u><u>:</u><u>-</u><u>-</u><u>-</u><u>-</u><u>-</u>
![{(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}](https://tex.z-dn.net/?f=%20%7B%28x%20-%20a%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20b%29%7D%5E%7B2%7D%20%20%3D%20%20%7Br%7D%5E%7B2%7D%20)
equation of the circle
where r is the radius of the circle.
<h2>(A) 2 is the right answer.</h2>
Answer:
Of the 1500 surveys sent out, 480 are returned, and of these, only 120 say they're satisfied with the president's job performance.
1.) The population is - all registered voters in this community.
Population represents the complete data set of a survey.
2.) The sample is - the 1500 randomly selected voters receiving the questionnaire.
A sample is the subset to the population.
3.) This is an example of - a survey with little bias since people understand whether they approve of the president's job performance.