Answer:
-12
Step-by-step explanation:
Let b = -1 and a = -3
The average rate of change = 
f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2
f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22
f(b) - f(a) = -2 - 22 = -24
b - a = -1 + 3 = 2
= -24/2 = -12
7x +16 < -5(4 - 5x)....given
7x + 16 < -20 + 25x....distributive property
16 < -20 + 18x ... subtraction property
16 + 20 < 18x.....addition property
36 < 18x
36/18 < x.....division property
2 < x
YES
We can work out the inverse using Algebra. Put "y" for "f(x)" and solve for x:
<span><span>The function: f(x)=2x+3
</span><span>Put "y" for "f(x)": y=2x+3
</span><span>Subtract 3 from both sides:
y-3=2x
</span><span>Divide both sides by 2:
(y-3)/2=x
</span><span>Swap sides: x=(y-3)/2</span><span>
</span><span><span>Solution (put "f-1(y)" for "x") :</span> <span>f-1(y)</span>=(y-3)/2</span></span>
Answer:
Step-by-step explanation:
Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...
b = 2z -3 . . . . . . . Brian bought 3 fewer than twice what Zack bought
b + z = 30 . . . . . . they bought a total of 30 packs
Using the first equation to substitute into the second, we have ...
(2z -3) +z = 30
3z -3 = 30
3z = 33 . . . . . . add 3
z = 11
b = 2·11 -3 = 22 -3 = 19
_____
<em>Check</em>
b + z = 19 + 11 = 30 . . . . answer checks OK
Zack bought 11 packs; Brian bought 19 packs of gum.
Answer:
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Step-by-step explanation:
