9514 1404 393
Answer:
P(0, 4), Q(-3, 0)
Step-by-step explanation:
To find the y-coordinate of P, replace x with 0 and solve for y:
3y = 12
y = 4 . . . . . divide by 3
__
To find the x-coordinate of Q, replace y with 0 and solve for x:
-4x = 12
x = -3 . . . . . divide by -4
Then the intercepts are P(0, 4) and Q(-3, 0). The line is drawn through those points for the indicated values of x.
<h3><u><em>
Answer:</em></u></h3><h3><u><em>
30</em></u></h3><h3><u><em>
Step-by-step explanation:</em></u></h3><h3><u><em>
Answer: 30 gallons</em></u></h3><h3><u><em>
</em></u></h3><h3><u><em>
Step-by-step explanation:</em></u></h3><h3><u><em>
</em></u></h3><h3><u><em>
So fist we add 40% and $40%. That's 80 percent of the tank which is 12 + 12 = 24. </em></u></h3><h3><u><em>
Then we figure out half of 40 percent which is 20 which means its 6 gallons. </em></u></h3><h3><u><em>
Now we add. 12+12+6 which equals our answer 30 gallons</em></u></h3><h3><u><em>
</em></u></h3>
<u><em></em></u>
In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:
f(g(x)) = 3(2x - 4) + 2
f(g(x)) = 6x - 12 + 2
f(g(x)) = 6x - 10
Answer:

Given series is convergence by using Leibnitz's rule
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given series is an alternating series
∑
Let 
By using Leibnitz's rule


Uₙ-Uₙ₋₁ <0
<u><em>Step(ii):-</em></u>


= 

=0

∴ Given series is converges