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myrzilka [38]
2 years ago
10

For its 28th anniversary, an Uncles Game store is offering a 28% discount on all board games. What is the discounted cost of the

game that regularly costs $32. 50?
Mathematics
1 answer:
svetlana [45]2 years ago
5 0

Answer: $23.40

Step-by-step explanation:

   We will find what percent of the normal cost the items are currently.

100% - 28% = 72%

   Now, we will find 72% of $32.50

72% -> 0.72

$32. 0 * 0.72 = $23.40

          The discounted cost is $23.40.

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Nicole plans to watch 3 movies each month . Write an equation to represent the total number of movies n that she will watch in m
kramer
N=3x, x is months and n is the total.
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3 years ago
Factor the polynomial, x2 + 5x + 6
patriot [66]

Answer:

Choice b.

x^{2} + 5\, x + 6 = (x + 3)\, (x + 2).

Step-by-step explanation:

The highest power of the variable x in this polynomial is 2. In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 0.)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to 0. The discriminant of this polynomial is (5^{2} - 4 \times 1 \times 6) = 1.

\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}.

Similarly:

\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}.

By the Factor Theorem, if x = x_{0} is a root of a polynomial, then (x - x_0) would be a factor of that polynomial. Note the minus sign between x and x_{0}.

  • The root x = -2 corresponds to the factor (x - (-2)), which simplifies to (x + 2).
  • The root x = -3 corresponds to the factor (x - (-3)), which simplifies to (x + 3).

Verify that (x + 2)\, (x + 3) indeed expands to the original polynomial:

\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}.

4 0
3 years ago
Sis In order to identify the zeros of the function, a student factored the cubic function ()=−−f of , open x close , equals , x
creativ13 [48]

Answer:

f(x)=x(x-5)(x+2)

Step-by-step explanation:

Since the steps of the factorization of the polynomial f(x) is not given, I will proceed to give the correct factorization of f(x).

f(x)=x³-3x²-10x

First, we factor out x since it is a common term.

f(x)=x(x²-3x-10)

Next, we factorize the quadratic expression x²-3x-10.

f(x)=x(x²-5x+2x-10)

f(x)=x(x(x-5)+2(x-5))

f(x)=x(x-5)(x+2)

The correct factorization of the polynomial f(x)=x³-3x²-10x is: f(x)=x(x-5)(x+2)

7 0
3 years ago
Is the GCF of any two odd numbers always odd?
vampirchik [111]
Probably true

you can test it too
8 0
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igor_vitrenko [27]
Your answer is no solution (because a negative square root doesn't exist)
first, you divide all sides by five and then take b, half it then square it

5 0
3 years ago
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