Answer:
x = 9
Step-by-step explanation:
4x + 7 = 43
4x = 36
x = 9
Answer:
It took Lydia 12 minutes to run each mile
Step-by-step explanation:
120/10
Answer:

Step-by-step explanation:
2^2×2^3(x+1)=2^2x
same base cancel,you will get
2+3x+3=2x
take same variable then - or + you will get

<span>a) Intervals of increase is where the derivative is positive
b) </span> <span>Intervals of decrease is where the derivative is negative. </span>
c) <span>Inflection points of the function are where the graph changes concavity that is the point where the second derivative is zero </span>
<span>d)
Concave up- Second derivative positive </span>
<span>Concave down- second derivative negative </span>
f(x) = 4x^4 − 32x^3 + 89x^2 − 95x + 31
<span>f '(x) = 16x^3 - 96x^2 + 178x - 95 </span>
<span>f "(x) = 48x^2 - 192x + 178 </span>
<span>By rational root theorem the f '(x) has one rational root and factors to: </span>
<span>f '(x) = (2x - 5)*(8x^2 - 28x + 19) </span>
<span>Using the quadratic formula to find it's two irrational real roots. </span>
<span>The f "(x) = 48x^2 - 192x + 178 only has irrational real roots, use quadratic formula which will be the inflection points as well.</span>
The answer is -3
You use the formula y1-y2
———
x1-x2
-1 and 8 are your y’s
1 and -2 are your x’s
Your equation should look like this
-1-8 -9
—— = —— = -3
1-(-2) 3
I plugged the y’s and x’s into the formula.
I hope this helps!!