The graph of g(x) is the graph of f(x) translated 4 units down.
Remember:
if we have the graph of a function f(x); then :
f(x)+b ; is the graph f(x) translated b units up
f(x)-b; is the graph f(x) translated b units down.
f(x+b); is the graph f(x) translated b units left.
f(x-b); is the graph f(x) translated b units right.
In this case:
g(x)=f(x)-b
<span>9(w-4)-7w=5(3w-2)
(9w-36)-7w=15w-10
2w-36=15w-10
add 36
2w=15w+26
subtract 15w
-13w=26
divide by 13
-w=2 so w=-2</span>
P(boy)=1/2
P(girl)=1/2
P(a girl, a boy , a girl and a boy)=1/2*1/2*1/2*1/2= 1/16
P(2 boys and 2 girls ) = 1/[4!/(2!*2!)] =1/6
hope this helps u
Hi there Brook!
First, you need to find the slope of this linear line, because if two lines are parallel they have the same exact slope.
2y + 10x = -36 <-- Subtract 10x on both sides
2y = -10x - 36 <-- Divide everything by 2
y = -5x - 18 <-- Your re-organized linear equation, with the slope of -5.
Now that you know the slope is -5, but not the y-intercept since the line is different, look at the coordinate you have. Since you know that an input of -1 makes an output of 4, you can create an equation:
4 = -5(-1) + b <-- Four equals the slope times the input, plus the y-intercept
4 = 5 + b
b = -1, since 5 + (-1) = 4.
So, now your final equation is y = -5x -1
You have to convert the following number into a fraction:
This is a periodic decimal number, which explicitely is 0.68888888....
In order to convert this number to a fraction you proceed as follow:
You put 0.68 and not 0.688 because to do the convertion you need only the first periodic number (that is, only the first 8). The key is to put in the numerator the complete number as whole number, that is, 68. To this number you subtract the whole part of the decimal number, this whole part is 0 because of the 0.688. Then, in the numerator you have 68 - 0. In the denominator you write a number composed only by 9's. The number of 9 numbers is determined by the number of digits of the first number in the numerator. That is two 9 numbers