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Setler79 [48]
2 years ago
12

Find the solutions of the quadratic equation x2 + 7x + 10 = 0.

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
7 0

Answer:

Step-by-step explanation:

x² + 7x + 10 = 0

x = [-7 ± √(7² - 4·1·10)]/(2·1) = [-7 ± √9[/2 = [-7 ± 3]/2 = -2, -5

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Choose the inequality that could be used to solve the following problem.
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Children's tickets to a local play cost $\$1.50$ less than adult tickets. At one performance 325 children tickets and 175 adult
svetoff [14.1K]

Answer:

  $8.00

Step-by-step explanation:

The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.

__

<h3>setup</h3>

Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...

  a - c = 1.50 . . . . . . . adult tickets are $1.50 more

  175a +325c = 3512.5 . . . . . total revenue from ticket sales.

__

<h3>solution</h3>

We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...

  c = a -1.50

Substituting that into the second equation, we have ...

  175a +325(a -1.50) = 3512.50

  500a -487.50 = 3512.50 . . . . . . simplify

  500a = 4000 . . . . . . add 487.50

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An adult ticket costs $8.

5 0
1 year ago
Please help and thank you
zubka84 [21]

Answer:

B

Step-by-step explanation:

The graph of x² is known as the parent function. From it, all quadratics can be transformed to make their graphs. It can undergo a series of transformations like translations up/down/left/right or stretch and compression vertically and horizontally. Usually the equation can tell you you what transformations it undergoes. Since g(x) is the same equation as x² except for 4/5 this is a vertical compression. Since it is the leading coefficient under multiplication and 4/5 < 1, this is a compression vertically. Answer B is correct.

8 0
3 years ago
The cost of a jacket increased from $95.00 to $107.35. what is the percentage increase of the cost of the jacket?
lidiya [134]
It would be 35%. Hope this helps.
6 0
3 years ago
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