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yaroslaw [1]
3 years ago
5

ALGEBRA 2

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0

Answer:

\left\{        \begin{array}{ll} a+s+r=350 \\      4a+2.5s+2r=1095\\r=s-40        \end{array}    \right.

Step-by-step explanation:

Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.

We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:

a+s+r=350

We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:

4a+2.5s+2r=1095

Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:

r=s-40

So, our system of equations is:

\left\{        \begin{array}{ll} a+s+r=350 \\      4a+2.5s+2r=1095\\r=s-40        \end{array}    \right.

And we're done!

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Solve the equations.<br> a. (x − 2)^2 = 9<br> b. 3(x − 2)^2 = 9<br> c. 6 = 24(x + 1)^2
seropon [69]

Answer: a) x = 5 or -1 b) x = √3+2

c) x = -1/2 or -3/2

Step-by-step explanation:

a) (x − 2)² = 9

First step is to take the square root of both sides to eliminate the square

√ (x − 2)² = √9

x-2 = +-3

x = +3+2

x = 5 and;

x = -3+2

x = -1

x = 5 or -1

b) 3(x-2)² = 9

First we divide both sides by 3 to get;

(x-2)² = 9/3

(x-2)² = 3

Second step is to take the square root of both sides to eliminate the square

√(x-2)² = √3

x-2 = √3

x = √3+2

c) 6 = 24(x+1)²

Dividing both sides by 24, we have

6/24 = (x+1)²

1/4 = (x+1)²

Taking the square root of both sides we have

√1/4 = √(x+1)²

= +-1/2 = x+1

x = +1/2-1 = -1/2 and;

x = -1/2-1 = -3/2

x = -1/2 or -3/2

4 0
3 years ago
Please help I will mark Brainly
Bas_tet [7]

okay so you would go down to -8, then the slope would be 4/1 which means to go up four and then over one. then you have the line.


i hope this helps you!

8 0
3 years ago
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CaHeK987 [17]
I think x=24 but not sure
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What is r=10cos theta in rectangular form
grigory [225]
r=10\cos\theta\implies r^2=10r\cos\theta\implies x^2+y^2=10x
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zmey [24]

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

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{-2,3}

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