Angle x = arc tangent (7 / 24)
Angle x = arc tangent (
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0.291666666...)
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Answer:
333.67 miles
Step-by-step explanation:
She drives her car 91 mi on 3 gal of gas
That’s 91 mi = 3 gal
How many miles can she drive on 11 gal of gas .
Let the mile she can drive by 11 gal of gas be A
At the same rate ,
91 mi = 3 gall
A mi = 11 gal
Cross multiply
A x 3 = 91 x 11
A x 3 = 1001
Divide both sides by 3
A x 3/3 = 1001/3
A = 333.67 miles
At the same rate she’ll drive 333.67 miles on 11 gal of gas
(9^x) - 3 = 2*3^x
(9^x) - 3 - (2*3^x) = (2*3^x) - (2*3^x)
(9^x) - (2*3^x) - 3 = 0
(3^2)^x - 2*(3^x) - 3 = 0
3^(2x) - 2*(3^x) - 3 = 0
3^(x*2) - 2*(3^x) - 3 = 0
(3^x)^2 - 2*(3^x) - 3 = 0
z^2 - 2*z - 3 = 0 ............ let z = 3^x
(z - 3)(z + 1) = 0
If z-3 = 0, then z = 3 when we isolate z
If z = 3, and z = 3^x, then
z = 3
3^x = 3
3^x = 3^1
x = 1
which is a solutin in terms of x
If z+1 = 0 then z = -1
If z = -1 and z = 3^x, then there are NO solutions for this part of the equation
The quantity 3^x is never negative no matter what the x value is
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Answer: x = 1
Answer:
0.3
Step-by-step explanation:
