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Elis [28]
3 years ago
7

If p-4(p-2(3-p))=12 solve for p

Mathematics
1 answer:
stira [4]3 years ago
8 0
P-4(p-2(3-p))=12 remove the parentheses

P-4(p-6+2p)=12 collect like terms

P-4(3p-6)=12 remove the parentheses

P-12p+24=12 collect like terms

-11p+24=12 move the constant to the right

-11p=12-24 calculate

-11p=-12 divide both sides

P=12/11


Alternative form

P=1 1/11
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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
ONE MOR TIME SINCE THESE BOTS KEEP GIVING ME SCAM LINKS. I'm Looking for the sum of all the answers, also need to round the neat
kati45 [8]
The sum of the four answers is -8.3 i believe
8 0
3 years ago
Read 2 more answers
GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.
seropon [69]

Answer:

A. 9.8 ft

Step-by-step explanation:

first convert the degrees to radians:

80° x (pi/180) ≈ 1.396

arc length = r x θ (always in radians)

= 7 x 1.396

= 9.772 ≈ 9.8 ft

3 0
3 years ago
Please help as soon as possible
Zolol [24]

Answer:

Diameter = 24 mm

Step-by-step explanation:

Volume of a sphere is 4/3 πr^{3}

First, we solve for radius:

2304π = 4/3πr^{3}

Multiply both sides by 3

3(2304π) = 4πr^{3}

Divide both sides by 4π

6912π/4π = r^{3}

1728 = r^{3}

Cuberoot both sides

\sqrt[3]{1728} = r

r= 12

Hence, the diameter would be: 2times the radius = 2*12= 24 mm

Hope this helps!

Please mark brainliest if you think I helped!

Would really appreciate!

5 0
3 years ago
Read 2 more answers
Y=4x² – 3<br><br> Identify the domain and range of each function
Sidana [21]

Answer:

Step-by-step explanation:

domain X is real number

range Y larger or equal to -3 (cause 4x^2 is always >= 0)

8 0
4 years ago
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