Minus 1 both sides
x²-8x=-1
take 1/2 of the linear coefient and square it
-8 is the linear coefient
-8/2=-4, (-4)²=16
add 16 to both sides
x²-8x+16=16-1
factor perfect squaer trinomial
(x-4)²=15
square root both sides, remember to take positive and negative roots
x-4=+/-√15
not exactly sure what to put in the blnaks
but
the solutions are x=4+√15 and x=4-√15
So on the first one, check the first picture, solve for "x" and "y" respectively
on the second one, check the second picture, the left-half, solve for "x"
on the last one, are they similar? check the second picture, right-half
There is no given below but it will have a slope intersept form of o my friend
Answer:
A.
As x decreases in value, f(x) decreases in value.
As x increases in value, f(x) increases in value.
Step-by-step explanation:
As we move our eyes towards the right following the curve, we see that the y-values are larger and larger. As we move to the right following the curve, the values of the x-variable in the horizontal axis are increasing. Then as x increases, the values of f(x) also increase.
On the other hand, if we move our eyes to the left following the curve, this way looking into what values the function adopts for smaller and smaller values of x, we see that the f(x) values decrease (the curve goes down).
Then, to summarize:
a) As we move to the right, thus increasing the values of x, we see the values of f(x) increase
b) As we move to the left, thus decreasing the values of x, we see the values of f(x) decrease.
In the picture below, h is height of building and x is the distance the base of the ladder is away from the base of the building.
We use trigonometry to find x, particularly the cosine function.
cos(29.37°) = x/32
cos(29.37°)(32) = x
27.8870633052 = x
We now round off to the nearest hundredths, which means to two decimal places.
27.89 feet = x
