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Answer:
(-11,-4) and (-5,-7)
Step-by-step explanation:
the rule (x,y)→(x−7,y+2) means the x-value of the coordinate decreases by 7, and the y-value of the coordinate increases by two.
Apply the rule to the 1st question by plugging in the coordinates:
(x,y)→(x−7,y+2)
(−4,−6)→((-4)−7,(-6)+2)
(−4,−6)→(-11,-4)
Let's use the same process for the 2nd question:
(x,y)→(x−7,y+2)
(2,−9)→((2)−7,(-9)+2)
(2,−9)→(-5,-7)
A)
y=2^x
4^x=2^(2x)=y²
solution:
y=2^x hence y²=4^x
chek:
x=5 ⇒ y=2⁵=32
4⁵=1024
y₂=32²=1024
b)
8(4^x)-9(2^x)+1=0
8(2^(2x)-9(2^x)+1=0
2^x=t
8t²-9t+1=0
We solve the quadratic.
t₁=1/8 ⇒2^x=1/8
2^x=1/2³
2^x=2⁻³
x=-3
t₂=1 ⇒ 2^x=1 ⇒x=0
Solutions:
x=-3
x=0
