Pls pls pls helppp ------------------

Mathematics

2 answers:

aliina [53]2 years ago

7 0

Answer:

$\fbox {x-intercepts : (1, 0) and (-3, 0)}$

$\fbox {Roots : x = 1, x = -3}$

Step-by-step explanation:

Given :

y = 4x² + 8x - 12

4 cancels throughout.

y = x² + 2x - 4

Solving by quadratic formula :

x = -8 ± √(8)² - 4(4)(-12) / 8
x = -8 ± √64 + 192 / 8
x = -8 ± √256 / 8
x = -8 ± 16 / 8
x = -1 ± 2
x = 1 and x = -3

∴ Hence, the x-intercepts are (1, 0) and (-3, 0). The roots of the equation are 1 and -3.

horrorfan [7]2 years ago

7 0

Answer:

y = 4x^2 + 8x - 12

4(x^2 + 2x - 3) = 0

4(x - 1)(x + 3) = 0

x = 1, -3

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What is the sum? 3 y / Y 2 + 7 y + 10 + 2 / y + 2

kap26 [50]

Answer:

5/(y+5)

Step-by-step explanation:

Perhaps you want the sum ...

$\dfrac{3y}{y^2+7y+10}+\dfrac{2}{y+2}\\\\=\dfrac{3y}{(y+2)(y+5)}+\dfrac{2(y+5)}{(y+2)(y+5)}=\dfrac{3y+2(y+5)}{(y+2)(y+5)}\\\\=\dfrac{5y+10}{(y+2)(y+5)}=\dfrac{5(y+2)}{(y+2)(y+5)}=\boxed{\dfrac{5}{y+5}}$

_____

Comment on rational expressions

When writing ratios in plain text, it is imperative to put parentheses around numerators and denominators. (If the numerator is a product only, then parentheses are optional.)

Your expression might be properly written as ...

3y/(y^2 +7y +10) +2/(y+2)

As you have written it, it simplifies to ...

3(y/y)2 +7y +10 +2/y +2 = 3·2 +7y +2/y +12

= 7y +2/y +18

Please note, too, the exponentiation symbol (^).

6 0

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notka56 [123]

Answer:

Sorry I cant help