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jarptica [38.1K]
2 years ago
6

RJ and Ethan want to split a taco party pack from Taco Bell. The party pack costs $13.25. Together, RJ and Ethan. have $14.50. S

ince they have some money left over, they want to purchase two orders of cinnamon twists for an additional $2 (for both orders). Do they have enough money to purchase both the taco party pack and the cinnamon twists?
Mathematics
1 answer:
denpristay [2]2 years ago
7 0
No. If the cinnamon twists were purchased they would exceed $14.50.
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14. A quadratic equation is graphed above.
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D.

Step-by-step explanation:

2=-2,3=-3

2²=-2²,3²=3²

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A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


8 0
3 years ago
I need help please!!!!!!!
melomori [17]
Just a guess but 75 degrees?
4 0
2 years ago
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Help! 15 Points, FRACTIONS.
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Answer:

7/8 estimated would be about 1 and 6/11 is almost a half so it would be estimated 1/2 so 1 - 1/2 = 1/2

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2 years ago
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