Answer: 0.5
Step-by-step explanation: In this problem, we're asked to solve the following equation for <em>p. </em>Let's first switch 14 and 14p around so we have 14p + 14 = 21.
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To solve this equation for <em>p</em>, we must first isolate the term containing <em>p</em> which in this case is 14p.
Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.
14p + 14 = 21
-14 -14
On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.
Now we have the equation 14p = 7.
Since <em>p</em> is being multiplied by 14, to get <em>p</em> by itself, we divide both sides of the equation by 14.
On the left side of the equation the 14's cancel and we are left with <em>p</em>. On the right side of the equation, 7 divided by 14 is 0.5 which is our answer.
Therefore, p = 0.5 which is the solution for our equation.
Remember, you can always check your solution by substituting a number in for a variable to make sure the equation is true.
See attachment file below.
Answer: 11/3
Hope it helped!
Answer: 10.488 Promise
Step-by-step explanation:
The equation of this parabola will have the form f(x) = a(x+5)(x-4), which works out to f(x) = a(x^2 + x - 20). Since the parabola passes thru (3,40),
40 = a(3^2 + 3 - 20), or 40 = a(-8), so a = -5.
Thus, the equation of this parabola is y = -5(x^2 + x - 20).
4g + 3 = 4g + 6
3 = 6
Since we know three equals six is not correct, there is no answer/result for this entire expression.