Answer:
a-b = 31 (a ≠ b)
Step-by-step explanation:
(3x²-x+1)(px²+qx+1) = ax⁴+bx³+12x² - 6x + 1
3px⁴+(3q-p)x³+(3+p-q)x²+(q-1)x+1 = ax⁴+bx³+12x² - 6x + 1
q-1 = -6 q = -5
3+p-q = 3+p-(-5) = 8+p = 12 p = 4
b = 3q-p = 3*(-5) - 4 = <u>-19</u>
a = 3p = 3*4 = <u>12</u>
a-b = 12 - (-19) = 31
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Let's solve your system by substitution.
3x−2y=−12;4x+5y=7
Step: Solve3x−2y=−12for x:
3x−2y=−12
3x−2y+2y=−12+2y(Add 2y to both sides)
<u>3x</u>= <u>2y−12
</u>
3 3
=
<u>2y−12
</u>
3
(Divide both sides by 3)
x=
<u>2
</u>
3 y−4
Step: Substitute
<u>2
</u>
3
y−4 for x in 4x+5y=7:
4x+5y=7
4(
2/3 y−4)+5y=7
<u>23
</u>
3
y−16=7(Simplify both sides of the equation)
<u>23</u>
3
y−16+16=7+16(Add 16 to both sides)
<u>23</u>
3
y=23
<u>23</u>
3 y
<u>23
</u>
3 = 23<u>
</u>
<u>23
</u>
3
(Divide both sides by 23/3)
y=3
Step: Substitute 3 for y in x=
<u> 2 </u>
3
y−4:
x=
<u> 2 </u>
3
y−4
x= <u> 2 </u>
3
(3)−4
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=3 (underlined and / are fractions or division)
If she got a speeding ticket that means that she was driving faster (FASTER not the same as) then the max of 100 kmh. so...
s > 100
Hope this helped!
Answer:
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