First, subtract 2x from both sides of the equation to get 8y = -2x - 32. Then, divide the equation by 8, to get y = -x/4 - 4. Your y-intercept will be -4, and it's slope will be -1/4.
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Determining equation B from Equation A</u>
Given the equation A

Apply distributive law
which is equation B
Hence, equation B can be obtained by implementing the distributive law operation on equation A.
<u>Determining equation A from Equation B</u>
Given the equation B

Factor out common term -2 on the right-hand side of the equation
which is the equation A
Hence, equation A can be obtained by factoring out the common term -2 on the right-hand side of equation B.
PART A
s = <span>the number of packets of strawberry wafers ;
c = </span><span>the number of packets of chocolate wafers ;
3 </span>× s + 1 × <span>c = 30 ;
s + c = 22 ;
PART B
</span>The method of solving "by substitution"<span> works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
</span>
c = 30 - 3s;
s + ( 30 - 3s ) = 22;
30 - 2s = 22;
30 - 22 = 2s;
8 = 2s;
s = 4 ;
c = 30 - 12 ;
c = 18 ;
Since there is a 70% chance of making $12,000 so have that:
.70 × 12000 = 8400
Also, we have a 10% chance of breaking even, so we also have that:
.10 × 0 = 0
Finally, we have a 20% chance of losing $7400 so we also have that:
.20 × 7400 = 1480
Thus, putting it all together we have:
.70(12000) + .10(0) + .20(7400) = 8400 + 0 + 1480 = 9880
Therefore, the expected value is:
$9880
The first 4 is forty, the second 4 is four. Both of them together are fortyfour (44)