Therefore, Sandy has 276 football cards.
Answer:
FALSE
Step-by-step explanation:
If p could equal 10, 20, 30 or 40 lets put each of them in the expression 7.4p<=74
1. 7.4 times 10 equals 74 so that work✅
2. 7.4 times 20 equals 148 so that does not work X
3. 7.4 times 30 equals 222 so that does not work X
4. 7.4 times 40 equals 296 so that does not work X
<em><u>Answer</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em><em><u> </u></em><em><u>opti</u></em><em><u>on</u></em><em><u> </u></em><em><u>3</u></em><em><u>r</u></em><em><u>d</u></em><em><u> </u></em><em><u>!</u></em><em><u>!</u></em><em><u> </u></em>
Step-by-step explanation:
∆FGE ~ ∆ JKL
i.e, Angle FGE = angle JKL = 63°
and angle GEF = angle KLJ = 29°
also, angle GFE = angle KJL = 88°
so, the ∆FGE ~ ∆ JKL by AA property of similarity !!
• not other options because if we take corresponding angle they are not equal
For eg. for ∆ EFG ~ ∆ JKL
the angle EFG must be equal to angle JKL to be similar !!
but they are not equal !!
so, they are not similar !!
and such ,all other options except 3rd is wrong !!
In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when ![t > 0](https://tex.z-dn.net/?f=t%20%3E%200)
Profit after t months:
![P(t) = t^4 - 10t^3 + 28t^2 - 24t](https://tex.z-dn.net/?f=P%28t%29%20%3D%20t%5E4%20-%2010t%5E3%20%2B%2028t%5E2%20-%2024t)
0 months:
This is P(0). So
![P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0](https://tex.z-dn.net/?f=P%280%29%20%3D%200%5E4%20-%2010%2A0%5E3%20%2B%2028%2A0%5E2%20-%2024%2A0%20%3D%200)
1 month:
This is P(1). So
![P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5](https://tex.z-dn.net/?f=P%281%29%20%3D%201%5E4%20-%2010%2A1%5E3%20%2B%2028%2A1%5E2%20-%2024%2A1%20%3D%20-5)
2 months:
This is P(2). So
![P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0](https://tex.z-dn.net/?f=P%282%29%20%3D%202%5E4%20-%2010%2A2%5E3%20%2B%2028%2A2%5E2%20-%2024%2A2%20%3D%200)
3 months:
This is P(3). So
![P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9](https://tex.z-dn.net/?f=P%283%29%20%3D%203%5E4%20-%2010%2A3%5E3%20%2B%2028%2A3%5E2%20-%2024%2A3%20%3D%20-9)
4 months:
This is P(4). So
![P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32](https://tex.z-dn.net/?f=P%284%29%20%3D%204%5E4%20-%2010%2A4%5E3%20%2B%2028%2A4%5E2%20-%2024%2A4%20%3D%20-32)
5 months:
This is P(5). So
![P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45](https://tex.z-dn.net/?f=P%285%29%20%3D%205%5E4%20-%2010%2A5%5E3%20%2B%2028%2A5%5E2%20-%2024%2A5%20%3D%20-45)
6 months:
This is P(6). So
![P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0](https://tex.z-dn.net/?f=P%286%29%20%3D%206%5E4%20-%2010%2A6%5E3%20%2B%2028%2A6%5E2%20-%2024%2A6%20%3D%200)
7 months:
This is `P(7). So
![P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175](https://tex.z-dn.net/?f=P%287%29%20%3D%207%5E4%20-%2010%2A7%5E3%20%2B%2028%2A7%5E2%20-%2024%2A7%20%3D%20175)
After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.
For another example of a function involving numeric value, you can check brainly.com/question/24231879