9514 1404 393
Answer:
see below
Step-by-step explanation:
We assume your functions are ...
f(x) = x²
g(x) = (x -4)² +12
_____
You need to be able to recognize that g(x) matches a pattern:
g(x) = f(x-h) +k
where h = 4, and k = 12.
In this pattern, the value of h is the number of units the graph is translated to the right. The value of k is the number of units the graph is translated up.
So, g(x) is the same as the graph of f(x), but translated 4 units right and 12 units up.
Answer:
1/45
Step-by-step explanation:
Total = 10
Probaility of getting yellow: 2/10
Probbaility of getting yellow again: 1/9
2/10 * 1/9= 2/90 or 1/45
Answer: He would make $1,170 a week.
Step-by-step explanation:
He makes $400 a week.
$55 per appliance sold, he sold 14 appliances.
$55 x 14 = $770
$400 + $770 = $1,170
Hope this helps!:)
Answer:
A cubic function
Step-by-step explanation:
When you multiply powers of a same base, the exponents sum. So, if we multiply a function like with a function like we get
which is a cubic function, because it is written in the form
The common formula used to calculate the area of a triangle is:
S = 1/2 AC x BH
where AC is the base of the triangle and BH is it's height.
Let's say 78.5ft side is the base side (AC). All we have to do now is to calculate the height.
Heights always make up a right angle with the side they root upon (the base side in our case). It means we must position H on the AC side so that AHB makes up a right angle. BH is the height we seek.
ABH is a right triangle with AB as it's hypotenuse. BH is the opposite cathetus to the BAH angle (which is gven - 38 degrees). The formula that links an angle of a right triangle with it's opposite cathetus and the hypotenuse is this:
sin a = opp.cath. / hypotenuse
or in our case:
sin (BAH) = BH / AB
Since AH is the height we're looking for, let's transform the formula into this:
BH = sin (BAH) x AB
BH = sin 38deg x 39.5 = 0.61566148 x 39.5 ~ 24.32 feet
Make sure your calculator interprets 38 as degrees when calculating the sine.
S = 1/2 AC x BH = 1/2 x 78.5 x 24.32 = 954.56 ft2
which is roughly answer#1