Answer:
13 glue sticks cost $25.22.
Step-by-step explanation:
4 blue sticks cost $7.76, this means that one glue stick costs
$7.76/4 = $1.94.
Let 
be the cost of the glue sticks, and 
be the number of glue sticks; then
We can use this equation to find the cost of 13 glue sticks; we just put 
into our equation and it gives:
So 13 glue sticks cost $25.22.
To arrange the slopes we need to take their absolute values.
1. U<span>ndefined slope means a vertical line, so it is going to be steepest.
2.|4/3| = 4/3
3.|-3/2| = 3/2
4. 0 means horizontal line.
</span>From flattest to steepest: 0, -3/2, 4/3, undefined.
<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>
Answer:
The height of the triangle is: 
Step-by-step explanation:
Here, the area the triangle is given as: 
Also, base of the triangle = 
Let us assume the height of the triangle = H units
Now, AREA of TRIANGLE = 
Solving by LONG DIVISION, we get:
Hence, the height of the triangle is:
