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natita [175]
3 years ago
7

A total of

Mathematics
2 answers:
julia-pushkina [17]3 years ago
7 0
139 adult tickets were sold.

2x + x = 417

3x = 417
➗3 ➗3

x = 139
Leviafan [203]3 years ago
3 0
Total tickets sold = 417

2 fractions goes to students.
1 fraction goes to adults.

Total fractions of tickets
= 2 + 1
= 3 fractions

Since adults = 1 fraction
1 fraction = 417 ÷ 3
= 139 tickets

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Order the group of parabolas from widest to narrowest.
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Answer:

\large\boxed{y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2}

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The equation of a parabola: y = ax²

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We have the following coefficients a:

\left|\dfrac{1}{4}\right|=\dfrac{1}{4},\ \left|-\dfrac{1}{2}\right|=\dfrac{1}{2},\ \left|\dfrac{3}{2}\right|=\dfrac{3}{2},

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\dfrac{1}{4}\

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Solve the following equations using any method. Show your work and check your
Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4  is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

<u>Step-by-step explanation:</u>

<u>a) The given equation is  2x + 16 = 5x + 4 </u>

  • From the above equation, it can be found that the equation consists of x terms and constant terms.
  • Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
  • This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

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The solution for the given equation is x=4.

<u>To check, substitute x=4 in the equation :</u>

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

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<u>b) The given equation is 3x − 5 = 2x + 14</u>

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

<u>To check, substitute x=19 in the equation :</u>

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

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<u>c) The given equation is 5x − 5 = x + 15</u>

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The solution for the given equation is x=5.

<u>To check, substitute x=5 in the equation :</u>

5(5) - 5 = 5 + 15

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Is this

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