<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
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alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
the answer is 1200 millimeters per hour
Answer:
CD = 3.602019190339
Step-by-step explanation:
CD = DA - CA
DA = DB×Cos(29) = 18.7×cos(29) = 16.355388523507
BA = BA×cos(43) = 18.7×cos(43) = 13.676314220278
CA = BA÷tan(47) = 13.676314220278÷tan(47) = 12.753369333168
Then
CD = 16.355388523507 - 12.753369333168 = 3.602019190339
<h2>
Answer:</h2>
The vertex of the function is:
(-2,-2)
<h2>
Step-by-step explanation:</h2>
We are given a absolute value function f(x) in terms of variable "x" as:
We know that for any absolute function of the general form:
the vertex of the function is : (h,k)
and if a<0 the graph of function opens downwards.
and if a>0 the graph of the function opens upwards.
Hence, here after comparing the equation with general form of the equation we see that:
a= -1<0 , h= -2 and k= -2
Since a is negative , hence, the graph opens down .
Hence, the vertex of the function is:
(-2,-2)
If markdown is 25%,then 450.00 = 75%
450.00÷.75=600.00
600.00 is the highest amount of a couch you can spend to pay 450.00 before sales tax.
