With any equation you are allowed to take the logarithm of both sides so
5^c=125 now take the logarithm base 5 to both sides giving.
log5(5^c)=log5(125), using the rule log(a^b)=a*log(b) you get
c log5(5)=log5(125), since log5(5)=1
c=log5(125)
Answer:
slope = 35; y-intercept = -45
Step-by-step explanation:
Function f(x) is written in the slope-intercept form, y = mx + b.
f(x) = -7x + 9
You compare it with
f(x) = mx + b, and you see that m, the slope, is -7, and b, the y-intercept is 9.
Now we deal with function h(x).
h(x) = -5(-7x + 9)
This is not written in the y = mx + b form, but we can put it in that form by distributing the -5.
h(x) = 35x - 45
Now, h(x) is written in the y = mx + b form. We see clearly that m = 35, so the slope of function h is 35. We also see that b, the y-intercept is -45.
Answer: slope = 35; y-intercept = -45
Answer:
I can't see the photo
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Hope this was helpful
Answer:
0.15 miles per minute
Step-by-step explanation:
You want the rate 4.5 miles in 30 minutes expressed in terms of miles per minute.
<h3>Unit rate</h3>
To find miles per minute, divide miles by minutes.
speed = miles/minutes = (4.5 mi)/(30 min) = 0.15 mi/min
Samantha can walk 0.15 miles per minute.