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finlep [7]
3 years ago
10

Pls help!!! evaluate the function for x=m/4

Mathematics
1 answer:
EastWind [94]3 years ago
6 0
Plug in m/4 into the equation:

8 (\frac{m}{4})^{2} - 4(\frac{m}{4})

Solve the parentheses in the equation:

\frac{m}{4}^{2} = \frac{m}{4} \times \frac{m}{4} = \frac{m^{2}}{16}
8 \times \frac{m^{2}}{16} = \frac{8m^{2}}{16} = \frac{m^{2}}{2}

4 \times \frac{m}{4} = \frac{4m}{4} = m

Your equation should now look like this:

\frac{m^{2}}{2} - m

The answer is D.

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How do u factor this
PilotLPTM [1.2K]

You can factor a parabola by finding its roots: if

p(x)=x^2+bx+c

has roots x_1,\ x_2, then you have the following factorization:

p(x) = (x-x_1)(x-x_2)

In order to find the roots, you can use the usual formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

In the first example, this formula leads to

x_{1,2} = \dfrac{-2\pm\sqrt{4+4}}{2} = \dfrac{-2\pm\sqrt{8}}{2} = \dfrac{-2\pm2\sqrt{2}}{2} = 1 \pm \sqrt{2}

So, you can factor

x^2-2x-1 = (x-1-\sqrt{2})(x-1+\sqrt{2})

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

f(1.5)=-5.25

you get

f(-1.5) = 1.5c-3 = -5.25

Add 3 to both sides:

1.5c = -2.25

Divide both sides by 1.5:

c = 1.5

7 0
3 years ago
I just need help set up
Vilka [71]

Answer:

Step-by-step explanation:

<em>Set up equations (L= Lisa; M = Maria; A = April; J = Jim)</em>

L = 12M

A = 2J

<em>Substitute x for Maria and 6x for Jim</em>

L = 12x

A = 2(6x) = 12x

<em>So, you get:</em>

Maria = x

Jim = 6x

Lisa = 12x

April = 12x

5 0
3 years ago
Someone pls help me i really need this
lukranit [14]
Y=1\2x.
hopes this helps you
5 0
3 years ago
What is the solution set?<br><br> (0, -2)<br> (2, 0)<br> (7, 0)<br> (5, 3)
Dvinal [7]

Answer:

(5,3)

Step-by-step explanation:

Look for the coordinates of the point of intersection where the 2 graphs cross. This gives the solution.

In this case, they cross at (5,3) and they intersect at only one location (i.e there is only 1 solution)

7 0
3 years ago
Read 2 more answers
State all possible names for this figure
Len [333]

Answer:

A quadrilateral and parallelogram

Step-by-step explanation:

8 0
3 years ago
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