Micheal has saved 27 quarters from washing cars. Micheal has 675 cents
Simplify both sides of the equation.
<span><span>25−n</span>=32
</span><span>Simplify:
</span><span><span><span>−n</span>+25</span>=32
</span>Subtract 25 from both sides.
<span><span><span><span>−n</span>+25</span>−25</span>=<span>32−25
</span></span><span><span>−n</span>=7
</span>Divide both sides by -1.
<span><span><span>−n/</span><span>−1 </span></span>= <span>7/<span>−1
</span></span></span><span>n=<span>−7
</span></span>Ans:
<span>n = <span>−7</span></span><span>
</span>
Answer:
cube is 100cm + area of pyramid
Answer: The slope is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Observe the graph provided in the exercise.
You can notice that these two points are on the line:
and 
Then you can identify that:
Knowing these coordinates, you can substitute values into the formula for calculate the slope.
Then, you get that the slope of the graph is:
Answer:
f(x) = 12*(2)^x
Step-by-step explanation:
A generic exponential equation is written as:
f(x) = A*(r)^x
And we also know that this equation passes through:
(-1, 6)
(0, 12)
(1, 24)
(2, 48)
For the second point, (0, 12) we know that when f(0) = 12
Then:
f(0) = 12 = A*(r)^0
And for every real number different than zero, a^0 = 1
Then:
f(0) = A*1 = A = 12
Then the equation is:
f(x) = 12*(r)^x
Now we can use one of the other points, like (1, 24)
Then f(1) = 24
We can solve:
f(1) = 24 = 12*(r)^1 = 12*r
24/12 = r
2 = r
Then the equation is f(x) = 12*(2)^x
Now we need to check if this function also passes through the points (-1, 6) and (2, 24):
f(-1) = 12*(2)^-1 = 12/2 = 6
f(2) = 12*(2)^2 = 12*4 = 48
Nice.
So we can see that the function is f(x) = 12*(2)^x
