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Mariana [72]
3 years ago
12

Desperate need for help! Maths! Will award brainliest!

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Step-by-step explanation:

fg(x) =

{(x - 4)}^{2}  + 3(x - 4)

=

{x}^{2}  + 16 - 8x + 3x - 12

=

{x}^{2}  - 5x + 4

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What two numbers add to 9 and multiply to -70
Alborosie
X, y - the numbers

The numbers add to 9 and multiply to -70.
x+y=9 \\
xy=-70 \\ \\
y=9-x \\
xy=-70 \\ \\
\hbox{substitute 9-x for y in the second equation:} \\
x(9-x)=-70 \\
9x-x^2=-70 \\
-x^2+9x+70=0 \\
-x^2+14x-5x+70=0 \\
-x(x-14)-5(x-14)=0 \\
(-x-5)(x-14)=0 \\
-x-5=0 \ \lor \ x-14=0 \\
x=-5 \ \lor \ x=14 \\ \\
y=9-x \\
y=9-(-5) \ \lor \ y=9-14 \\
y=14 \ \lor \ y=-5 \\ \\
(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)

The numbers are -5 and 14.
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