The factorization of A is y = (x - 8)(x + 7).
The factorization of B is y = (x + 1)(x - 4)(x - 5)
In order to find these, you must first find where each graph crosses the x-axis. In the first problem it does so at 8 and -7. In order to find the correct parenthesis for those, you need to write it out as a statement and then solve for 0.
x = 8 ---> subtract 8 from both sides
x - 8 = 0
This means we use (x - 8) in our factorization.
You then need to repeat the process until you have all the pieces. In the second problem, there will be 3 instead of 2 since it crosses the axis 3 times.
The slope definitions:
The
slope is the change in y divided by the change in x.
The
slope is the ratio of rise to run.
The
slope is the rate of change of the function at a certain point.
The
slope is the first derivative of a function.
The
slope is the tangent of the slant/inclined angle
So we are interested in this one: "The
slope is the ratio of rise to run"
Logically, the gas in the tank decreases as the distance traveled increases.
So they are inversely proportional.
Let's look at the scale of the axis now///
After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance
I hope that
helps!
I am with you if you faced any difficulties!
Answer:
For the first question, the answer is 216 and the equation would become just 6^3
For the second, the answer is 9.
Step-by-step explanation:
When there is a negative exponent, that monomial is brought up to the top of the fraction, (the numerator) so 1/6^-3 becomes 1(6^3)/1, or simplified, just 6^3 since divided by one is the same number and times one is the same number. 6 x 6 x 6 is 216.
When there is a negative exponent outside the equation in a <u>fraction,</u> you need to take the reciprocal of the fraction. Since it's squared, it will always be positive, so we can ignore the negative sign. 3/1 (or just 3) to the power of 2 is 9. (3 x 3 is 9).
When explained throughly this might be found confusing, but it's a very easy concept to get after a while.
So your equation would be 8a+10=11d-6
First: you would combine like terms so normally you would take away the smaller number. So to cancel out the negative 6 you added you add positive six to the negative 6 so you would get 0 and whatever you do to one side you have to do to the other so you would do 10 + 6. Your new equation would be 8a+16=11d. Now you do -16 to both sides. So your new equation would be 8a= 11d - 16. Now you divide by 8. So your final equation would be a=11d-2.
<span>The probability is given as No of favourable outcomes over total number of events. Now, the no of clubs in a deck of cards is 13 and similarly, the number of jacks in a deck of cards is 13. Then, the probability that a card picked at random from a 52-card deck of playing cards is a club or a jack = 13+13/52 = 26/52 = 1/2 = 50%</span>
