y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car
<em><u>Solution:</u></em>
Let "y" be the total cost of car rental
Let "x" be the number of miles you drive the car for more than 100 miles
<em><u>A car rental firm has the following charges for a certain type of car:</u></em>
$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles
<em><u>Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles</u></em>
Therefore,
Car is rented for one day
You will use it for more than 100 miles
Therefore, equation is framed as:
Total cost = $ 25 + 0.15(number of hours)
Thus the equation for relating the cost y to the number of miles x that you drive the car
Let's say the number of days library book is late is X, and the total fee is Y.
Liability charges $0.30 dollars as a fee for being 1 day late,
For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.
Total charge for being X days late is Y, Which means: Y= 0.30 * X.
Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X
Option
one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution
because the value of number of days can not be negative and in option
one and two, value of days -3 and -2.5 is negative.
Option
three(4.5, 1.35) can not be correct because library charges fee for a
full day so the number for days would be a whole number. Library would
not charge for 4.5 days, they would either charge of 4 days or 5 days
because 4.5 is not an whole number.
Option four(8, 2.40) is the correct answer because it satisfies our equation;
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Fourth option (8, 2.40) is the only viable solution to this question.
Prob(winning carnival game) = 2/5
<span>Prob(losing carnival game) = 3/5 </span>
<span>Prob (Max wins first 3 games, but loses last 2 games) </span>
<span>= Prob(Max wins game 1) * Prob(Max wins game 2) * Prob(Max wins game 3) * Prob(Max loses game 4) * Prob(Max loses game 5) </span>
The value 3 will be entered. It's a positive value to indicate he is not in debt of any kind.
Answer:
Given Polynomial:
Factors of Coefficient of terms
80 = 5 × 16
32 = 2 × 16
48 = 3 × 16
Common factor of the coefficient of all term is 16.
Each term contain variable. So the Minimum power of b is common from all terms.
Common from all variable part comes b².
So, Common factor of the polynomial = 16b²
⇒ 16b² ( 5b² ) - 16b² ( 2c³ ) + 16b² ( 3b²c )
⇒ 16b² ( 5b² - 2c³ + 3b²c )
Therefore, Statements that are true about David's word are:
The GCF of the coefficients is correct.
The variable c is not common to all terms, so a power of c should not have been factored out.
In step 6, David applied the distributive property
