I think it might be 5/7 but i’m not 100% certain
Let's simplify step-by-step.<span><span><span><span>1+<span>8n</span></span>+<span>4n</span></span>+1</span>−<span>2n</span></span><span>=<span><span><span><span><span>1+<span>8n</span></span>+<span>4n</span></span>+1</span>+</span>−<span>2n</span></span></span>Combine Like Terms:<span>=<span><span><span><span>1+<span>8n</span></span>+<span>4n</span></span>+1</span>+<span>−<span>2n</span></span></span></span><span>=<span><span>(<span><span><span>8n</span>+<span>4n</span></span>+<span>−<span>2n</span></span></span>)</span>+<span>(<span>1+1</span>)</span></span></span><span>=<span><span>10n</span>+2
</span></span>Answer:<span>=<span><span>10n</span>+<span>2</span></span></span>
The average rate of change over an interval is the same as the slope between those two values. The formulate for slope is:
You are given the x values: x2=3 and x1=-9. Plug in these x values to g(x) find the y values:
g(3)=3^2+5(3)-2=9+15-2=22
g(-9)=(-9)^2+5(-9)-2=81-45-2=34
Now, you can solve for m:
m=(22-34)/(3--9)
m=-12/12
m=1
Hope this helps!!
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg