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djyliett [7]
3 years ago
6

Can someone please help me ASAP

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

(4,12)

(-1,-3)

Step-by-step explanation:

x^2 - y = 4

y = 3x

Use substitution.  Substitute 3x for y in the first equation

x^2 - (3x) = 4

x^2 -3x =4

Subtract 4 from each side

x^2 -3x -4 = 4-4

x^2 -3x-4 =0

Factor

(x-4) (x+1) =0

Using the zero product property

x-4 =0  x+1 =0

x=4   x=-1

Now to find y for each x solution

x=4

y =3x = 3(4) =12

(4,12)

x=-1

y =3x = 3(-1) =-3

(-1,-3)

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Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest
strojnjashka [21]

Answer:0.9991

Step-by-step explanation:

The Poisson distribution probability formula is given by :-

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}, where \lambda is the mean of the distribution and x is the number of success

Given : \lambda=7

The probability that more than 1 student will have his automobile stolen during the current semester is given by :-

P(x\geq1)=1-P(x=0)=1-(\dfrac{e^{-7}7^0}{0!})\\\\=1-e^{-7}=0.99908811\approx0.9991

Hence, the  probability that more than 1 student will have his automobile stolen during the current semester =0.9991

3 0
3 years ago
GARDEN Amanda is planting flowers in a rectangular garden. She wants to know the amount of space in her backyard the garden will
Andrew [12]

The function A(x) = 2x²-3x-2 represents the area of the garden.

Step-by-step explanation:

Given,

Length of rectangular garden is given by;

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W(x) = x-2

Area of rectangular garden;

A(x) = L(x) * W(x)

A(x) = (2x+1)(x-2)\\A(x) = 2x(x-2)+1(x-2)\\A(x) =2x^2-4x+x-2\\A(x) = 2x^2-3x-2

The function A(x) = 2x²-3x-2 represents the area of the garden.

Keywords: Area, rectangle

Learn more about area at:

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6 0
3 years ago
66.64 rounded to the nearest cent
Zolol [24]
It would just be 66.6
4 0
2 years ago
a motorcycle cost $12,000 when it was purchased. the value of a motorcycle decreases by 6% each year. find the rate of decay eac
kiruha [24]
There's 12 months in a year so if the value decreases by 6% each year that would be 6 ÷ 12 which is 0.5%. Therefore the decay each month is -0.5%.
5 0
3 years ago
What is the solution-|-x|=-12
andreev551 [17]
The solution to the equation includes both the positive and negative portions of the solution. x = 12, -12
7 0
3 years ago
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