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Ahat [919]
3 years ago
11

Joe decides to take his six year old son to the planetarium. The price for the child's ticket is 5.75 dollars less than the pric

e for the adult's ticket. If you represent the price for the child's ticket using the variable "x," how would you write the algebraic expression for the adult's ticket price? 5.75x x over 5.75 x + 5.75 x5.75
Mathematics
2 answers:
zaharov [31]3 years ago
6 0
It would be x + 5.75 because the child ticket is 5.75 less than the adult ticket so to solve how to get the adult ticket you do the opposite
AleksandrR [38]3 years ago
5 0

To answer this item, we are instructed that the price of the ticket for the children is equal to x. Since, we are also given that this is 5.75 less than the price of tickets for the adults, we may express this as follows,

   x = n - 5.75

n is the price of ticket for the adults. This can be calculated by transposing 5.75 to the other side of the equation,

  n = x + 5.75

The answer is the third choice.

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What is f(x) = 7x2 + 42x written in vertex form?
amid [387]

Answer:

\boxed{\boxed{y = 7(x+3)^2-63}}

Step-by-step explanation:

The general vertex form of parabola is,

y=a(x-h)+k

where,

(h, k) is the vertex of the parabola.

The given function is,

\Rightarrow f(x) = 7x^2 + 42x

\Rightarrow y = 7x^2 + 42x

\Rightarrow y = 7(x^2 + 6x)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)

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7 0
3 years ago
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Danny earns a monthly allowance of twenty dollars and extra seventy five cents every time he is nice to his mom. Avery earns a m
Lerok [7]

Answer:

Danny: y-=.75x+20

Avery: y=1.25x+18

Step-by-step explanation:

To write a system of equations, it usually equals y=mx+b. Since Danny and Avery both earn the set monthly allowance of 20 and 18 dollars respectively, those numbers go on the variable b since it's a set amount and they start off with that amount of money if they weren't nice to their mom at all.

Since we are trying to find the overall amount of money, let y=total money a child earns every month and x=how many times the child is nice to their mother.

The extra .75 cents Danny earns go under the variable m because it is dependent on how many times he is nice to his mom. Along with Avery.

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2 years ago
Mark wants to maintain an average of 70 on his math tests to remain eligible for sports. So far, he earned scores of 68, 75, 74,
Alex17521 [72]

Answer:

Step-by-step explanation:

(68+75+74+82+88+x)/6=70

(387+x)/6=70

x= 33

6 0
3 years ago
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