Answer:
6
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
If you multiply 3.5 for example by 2 (which is the number of gallons) you get 7 which is the cost (also a proportional relationship).
The correct answer is: [C]: " (0, 24) " .
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Explanation:
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Given the quadratic function:
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→ " y = (x <span>− 8) (x + 3) " ; </span>← Note: Replace the "f(x)" with: "y" ;
→ Find the "y-intercept".
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→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .
→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;
→ " y = (x − 8) (x + 3) " ;
→ y = (0 − 8) (0 + 3) ;
→ y = (-8) * (3) ;
→ y = - 24 ;
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So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
the point at which: "x = 0 ; y = -24 " ;
→ that is; the point the coordinates: " (0, - 24) " ;
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→ which is: Answer choice: [C]: " (0, - 24) " .
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Answer: 35 additional teachers are needed
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Explanation:
We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio
2470/x = 26/1
where x is the number of teachers. Cross multiply and solve for x
2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95
So we have 95 teachers currently
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Let y be the new number of teachers needed to bring the ratio down to 19:1
Using a similar idea as done above, we would have this ratio
2470/y = 19/1
Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130
So we'll need 130 teachers to have the ratio be 19:1
The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
