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Scrat [10]
3 years ago
11

Kayak: $329.95, 33% off find the discount price

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

$221.07

Step-by-step explanation:

To find the discount price, you do 329.95*.67= 221.0665

221.0665 is rounded to 221.07

Hope this helps!

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G(x) = -2x^3 – 15x^2 + 36x
shusha [124]

Consider the function G(x) = -2x^3 - 15x^2 + 36x. First, factor it:

G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).

The x-intercepts are at points \left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).

1. From the attached graph you can see that

  • function is positive for x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);
  • function is negative for x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).

2. Since

G(-x) = -2(-x)^3 - 15(-x)^2 + 36(-x)=2x^3-15x^2-36x\neq G(x)\ \text{and }\neq -G(x) the function is neither even nor odd.

3. The domain is x\in (-\infty,\infty), the range is y\in (-\infty,\infty).

8 0
3 years ago
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The area of the trapezoid is 70 square inches. What is the length of the larger base?
GalinKa [24]

Answer:

20 i think srry if wrong

Step-by-step explanation:

5 0
3 years ago
Which of the following is not a proportion?
Alina [70]
4/10 = 12/20 since 4/10 = 10/20
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3 years ago
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Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. Enter the solution with the smaller x value first.
pochemuha
X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5  add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)

7 0
3 years ago
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If Ashley is in the 85th percentile and the mean of her test scores is 180 with a standard deviation of 15, which of the followi
ioda
<span>B would be the most appropriate response for this. We don't need to worry about Ashley being in the 85th percentile, that is just extra information they have provided us. What we need to look at is her mean test score is 180, so that is the average score she normally gets on her tests, but then they say she has a standard deviation of 15 which means her scores are normally no lower than 165 and no higher than 195 because she normally doesn't deviate or change her score more than 15 points for her normal 180. So if you take 180 minus 15 you get 165 and if you take 180 plus 15 you get 195, therefore we can determine that the most appropriate answer would be between 165 and 195. The only option that fits in this category is B 185</span>
6 0
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