Answer with Step-by-step explanation:
We are given that
Flat fee of taxicab=$7
Cost of one mile=$1.25
1.We have to show that relationship between total cost and the number of miles driven.
2.We have to find independent variable and dependent variable
3.We have to write an equation to model the relationship and make a table to show the cost of 4 to 10 miles.
1.Let x be the number of miles driven by taxicab and total cost y of taxicab.
According to question
This is a relation between number of miles drive and total cost.
2. Independent variable : It is that variable which does not depend on value of another variable .
Dependent variable : it is that variable which depend on value of another variable.
We can see that y depend on x and value of x does not depend on any value.
Therefore, y is dependent variable and x is independent variable.
Substitute x=4 then we get
$12
Substitute x=5 then get
$13.25
\$14.5
$15.75
$17
$18.25
$19.5
<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>
That would be approx. 67.24 million miles
hope this helped!
<3
Answer:
What is the question?
Step-by-step explanation:
So triangles bcd and aec are similar. so this makes lines ac and bc similar and lines db and ae similar.
to solve this problem, we just need to do some algebra
now we substitute those values in
which results in
then multiply both sides by 12
soon you should get x=2 with the length of ae being 16
