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AleksandrR [38]
3 years ago
6

Solve for X 8^3x-10 =4^6x-27 Thanks in advance!

Mathematics
1 answer:
dlinn [17]3 years ago
6 0

8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}

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Answer:

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Step-by-step explanation:

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and

x=3, y=6

9a + 3b + 3 = 6

9a + 3b = 6 - 3

9a + 3b = 3

simplify divide by 3

3a + b = 1

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Use elimination to find a

3a + b = 1

2a + b = 4

--------------subtracting eliminate b

a = -3

Find b using the equation 2a + b = 4

2(-3) + b = 4

b = 4 + 6

b = 10

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The equation: f(x) = -3x^2 + 10x + 3

8 0
3 years ago
A researcher drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 209 times. The observed freque
ddd [48]

Answer:

Step-by-step explanation:

Given that the observed frequencies for the outcomes as follows:

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1 36 34.83333333 0.03907496

2 30 34.83333333 0.670653907

3 41 34.83333333 1.091706539

4 40 34.83333333 0.766347687

5 23 34.83333333 4.019936204

6 39 34.83333333 0.498405104

   

209 209          7.086124402

p value =0.214

Since p >alpha, we accept null hypothesis

It appears that the  loaded die does not behave differently than a fair​ die at 5% level of significance

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3 years ago
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Katena32 [7]

Answer: x=0,\root(3)(3)

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Brainliest or a thank you please? :))

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3 years ago
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Substitute the value of y in the equation as -1,

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