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Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
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:
19
Step-by-step explanation:
(8*19+5*18)/(8+5)=242/13=18 8/13
round
19
