Answer:
and let's then do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, the LCD will be 8, and then we'll combine the like-terms, but anyway, let's proceed.
Step-by-step explanation:
The answer will be 9 1/12 because if you add them up you get 11/12. So the mixed number would be 9 1/12
Answer:
Solution: (3, 2)
Step-by-step explanation:
It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.
<u>x - 3y = -3</u>
-3y = -x - 3
Divide both sides by -3:

y = 1/3x + 1
where slope = 1/3
y-intercept = 1
<u>x + y = 5</u>
Subtract x from both sides to isolate y:
x - x + y = - x + 5
y = -x + 5
where slope = -1
y-intercept, 5
I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, <u>x - 3y = -3</u> is the blue line, while <u>x + y = 5</u> is the green line. Their intersection occurs at point, (3, 2).
Therefore, the solution is (3, 2).
Please mark my answers as the Brainliest if you find my explanations helpful :)
Answer:
see below
Step-by-step explanation:
Part A: (72)^x = 1
Take the log base 72 of each side
log72(72^x) = log 72(1)
We know log a^b = b log a
x log72(72) = log72(1)
x = log72(1)
x = 0
Part A: (70)^x = 1
Take the log base 70 of each side
log70(70^x) = log70(1)
We know log a^b = b log a
x log70(70) = log70(1)
x = log70(1)
x = 0
Answer:
option-B
Step-by-step explanation:
We are given
At the start of the year, 15 chameleons were introduced into a zoo
so, 
The population of chameleons is expected to grow at a rate of 41.42% every year
so, r=0.4142
and x represents the number of years since the chameleons were introduced into the zoo
now, we can set equation to find total population
and we get

now, we can plug values


Average rate of change between 2 years and 4 years:
we can use formula

now, we can plug values


Average rate of change between 4 years and 6 years:
we can use formula

now, we can plug values


Average rate of change between 6 years and 8 years:
we can use formula

now, we can plug values


now, we will check each options
option-A:
we can see that


So, this is FALSE
option-B:

So, this is TRUE
option-C:
This is FALSE
option-D:
we got

so, this is FALSE