Answer:
19.2
Step-by-step explanation:
<h2>log
(6
)
+
log
(
8
)
−
log
(
2
)
</h2><h2 /><h2> Answer:</h2>
Exact Form: ㏒
(
24
)
Decimal Form: 1.38021124
<h2>
Explanation:</h2><h3> Use the product property of logarithms, </h3>
㏒b
(
x) + ㏒b
(
y
) = ㏒b
(
x
y
).
㏒
(
6
⋅
8
)
− ㏒
(
2
)
.
<h3> ⇒Use the quotient property of logarithms,</h3>
㏒
b
(
x
)
−
㏒
b
(
y
)
=
㏒
b
(
x
y
)
.
㏒
(
6
⋅
8/
2
)
<h3> ⇒Reduce the expression by cancelling the common factors.
</h3>
Factor 2 out of 6
⋅8
.
log
(
2
(
3
⋅
8
) / 2
)
<h3> Divide 3
⋅
8
by 1
.</h3>
㏒
(
3
⋅
8
)
Multiply 3 by 8
.
㏒
(
24
)
<h3>The result can be shown in both exact and decimal forms.
</h3><h3> Exact Form: ㏒
(
24
)
</h3><h3> Decimal Form: 1.38021124</h3>
(6,0) this is right because translation is j moving a figure while dilation means multiply each x and y by scale factor
(2/5)k + (1/10)k = (1/2)k - 1
0.4k + 0.1k = 0.5k - 1
We need to solve for k.
Subtract 0.4k from both sides
0.4k - 0.4k + 0.1k = 0.5k - 0.4k - 1
0.1k = 0.1k - 1
Subtract 0.1k from both sides:
0.1k - 0.1k = 0.1k - 0.1k - 1
0 = -1
Impossible. The equation has no solution.
The unit rate would be 48.5 miles per hour because you would just divide 194 and 4 and get the ratio of 48.5:1