A perpendicular slope is a slope that is the negative reciprocal of the current slope. Therefore, 3.
Answer:
(B) Decrease by 12.5%
Step-by-step explanation:
For this case we know that the revolution is proportional to the circumference.
And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.
We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:
Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.
If we find the average revolutions per each case we got:
Tuesday:
Monday:
And then we can find the % of change like this:
And if we replace we got:
Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.
So then the best answer for this case would be:
(B) Decrease by 12.5%
Answer:
vertex = (-4, 5)
Step-by-step explanation:
In general, the graph of the absolute value function f(x) = a|x - h| + k will have its lowest value when f(x) = k (or highest value for f(x) = -a|x - h| + k). The lowest/highest value is the vertex (turning point).
Therefore, from inspection of the equation we can say that the y-coordinate of the vertex is 5.
Set the equation to 5 and then solve for x:
⇒ 5 = 1/2 |-X – 4| + 5
⇒ 1/2 |-X – 4| = 0
⇒ |-X – 4| = 0
Therefore, (-X - 4) = 0 and -(-X - 4) = 0
⇒ X = -4 (for both)
So the vertex is (-4, 5)
<u>Translations</u>
Absolute value parent function: f(x) = | -x |
Horizontal translation left 4 units: f(x) = |-x - 4|
Horizontal stretch of sf 1/2: f(x) = 1/2 |-x - 4|
Vertical translation up 5 units: f(x) = 1/2 |-x - 4| + 5
In that regard, the lender views a down payment as proof you're invested in the home purchase, and that you're committed to buying the home and making all your mortgage payments. In financial terms, a home down payment is calculated as a percentage of the total home purchase
