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FromTheMoon [43]
3 years ago
12

(−8)3 need help with this anyone?

Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0

the answer is -24

(-) x (+) = (-)

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Consider the system of quadratic equations \begin{align*} y &=3x^2 - 5x, \\ y &= 2x^2 - x - c, \end{align*}where $c$ is
shtirl [24]

Hello, we need to solve this system, c being a real number.

\begin{cases}y &= 3x^2-5x\\y &= 2x^2-x-c\end{cases}

y=y, right? So, it comes.

3x^2-5x=2x^2-x-c\\\\3x^2-2x^2-5x+x+c=0\\\\\boxed{x^2-4x+c=0}

We can compute the discriminant.

\Delta=b^2-4ac=4^2-4c=4(4-c)

If the discriminant is 0, there is 1 solution.

It means for 4(4-c)=0  4-c=0  \boxed{c=4}

And the solution is

x_2=x_1=\dfrac{4}{2}=2

If the discriminant is > 0, there are 2 real solutions.

It means 4(4-c) > 0 <=> 4-c > 0 <=> \boxed{c

And the solution are

x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{4-c}}{2}=2-\sqrt{4-c}\\\\x_2=2+\sqrt{4-c}

If the discriminant is < 0, there are no real solutions.

It means 4(4-c) < 0 <=> 4-c < 0 <=> \boxed{c>4}

There are no real solutions and the complex solutions are

x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{i^2(c-4)}}{2}=2-\sqrt{c-4}\cdot i\\\\x_2=2+\sqrt{c-4}\cdot i

Thank you.

8 0
4 years ago
Which graph shows the solution to the system of linear inequalities? Y&lt; 1/3x-1 y&lt;1/3-3
nadezda [96]
I think the best answer would probably be 1
3 0
3 years ago
Please help I rlly need it
kozerog [31]

Answer:

a)78

b)82.95

Step-by-step explanation:

To get the amount something is marked up you just need to multiply it by

1+0.(the%)

so in this case you multiply 60 by 1.30 to get 78

To get a discount you just have to do the same but without the +1

so 88*0.15

should get you the discount amount (13.2)

which you subtract from the original number (88-13.2 = 74.8)

now to get sales tax you would multiply the 79 by 0.05 which is 3.95

and add that to the total of 78.75 since sales tax applies AFTER coupons

7 0
3 years ago
Read 2 more answers
The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation of
Nataly_w [17]

Answer:

first of all, the graphs are so poorly plotted,even kn computer...

anyways,

since the blue one ending at x=5 on the x axis,

while actual log ends at x=0 this means

X=x-5

and since, log1=0 but it's 5 in blue graph,

the graph is moved up by 5

hence,

y=5+log(x-5)

8 0
3 years ago
What is the equation (4, 5) m=-1/4 solved in point slope form?
hammer [34]

Answer:

<h2>y - 5 = -1/4(x - 4)</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

We have m = -1/4 and the point (4, 5). Substitute:

y-5=-\dfrac{1}{4}(x-4)

8 0
3 years ago
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