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Bezzdna [24]
3 years ago
11

1. Factor. 4x2 + 20x

Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0
1.
4x^2 + 20x
= 4x(x + 5)

2.
x^2 - 12x = 64
x^2 - 12x - 64 = 0
(x - 16)(x + 4) = 0
x - 16 = 0 or x + 4 = 0
x = 16 or x = -4
x = {-4, 16}
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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
Use the following function rule to find f(9).<br> f(x) = x + 8<br> f(9) =
Studentka2010 [4]

Answer:

17

Step-by-step explanation:

f(x) = x + 8

f(9) = 9 + 8

= 17

8 0
2 years ago
I need help with 1,7,13,19 in arithmetic sequence and three terms
PtichkaEL [24]
a_{n} = 1 + (n-1)6 This should be the answer. Hope this helps! The three next terms are 25, 31, 37.
3 0
3 years ago
Evaluate <br> a) sin (4pi/3)<br> b) cos (5pi/6)
wlad13 [49]
Sin(4π/3)= -√3/2
cos(5π/6)= -√3/2
8 0
3 years ago
Read 2 more answers
Please help and explain to me this. Ive been having difficulty in this
My name is Ann [436]
Need points sorry but hope u get the right answer
8 0
3 years ago
Read 2 more answers
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