Solve :
1/2(x + 32) = -10....multiply both sides by 2
x + 32 = -10 * 2
x + 32 = -20
x = -20 - 32
x = - 52 <===
check :
1/2(x + 32) = -10.....when x = -52
1/2(-52 + 32) = -10
1/2(-20) = -10
-20/2 = -10
-10 = -10 (correct)
I believe the answer is 4/15.
(
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(
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Move
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to the denominator using the negative exponent rule
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1
b
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=
1
b
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.
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⎝
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Multiply
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by
x
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3
2
x
-
3
2
by adding the exponents.
Tap for more steps...
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(
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Move
y
−
1
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y
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to the numerator using the negative exponent rule
1
b
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n
=
b
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1
b
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=
b
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.
(
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Multiply
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by
y
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by adding the exponents.
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⎛
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(
3
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Change the sign of the exponent by rewriting the base as its reciprocal.
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⎝
x
1
2
3
y
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2
⎞
⎠
2
(
x
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y
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2
Use the power rule
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a
b
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n
=
a
n
b
n
(
a
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n
=
a
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to distribute the exponent.
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(
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(
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2
(
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Simplify the numerator.
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x
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2
x
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y
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2
Simplify the denominator.
Tap for more steps...
x
9
y
7
Answer:
f(x)= -2x+190
Step-by-step explanation:
Answer:
Step-by-step explanation:
The parent function here is y = log x, where 10 is the base.
The derivative of y = log x is dy/dx = (ln x) / ln 10.
The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary: differentiate the argument ax + b:
The derivative with respect to 10 of log (ax + b) is:
dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).
Alternatively, we could express the answer as
dy/dx = [ a / (ax + b) ] / [ ln 10 ]
