We have been given a system of nonlinear equations.
In order to solve this system we can first equate the two equations in order to get a quadratic in x.
Our next step is to bring all the terms on one side.
Now we have to solve this equation. We can solve it by factoring using the splitting middle term method.
Upon setting each of these factors equal to zero using zero product property we get
Upon solving both these equations we get
Now we can substitute these values of x in the equation
We get
Therefore, our final set of solutions are
Answer:
g(x) will be dilated horizontally to get f(x)
Step-by-step explanation:
Given
f(x) = g(kx) --> the correct equation
Required
The effect of k
The given equation is an illustration of horizontal dilation.
If |k| is greater than 0, then the function will be compressed.
However, if |k| is between 0 and 1 (exclusive), then the function will be stretched.
Take for instance:
f(x) = g(x/5)
In the above function, g(x) will be stretched by 5 units
Another instance is:
f(x) = g(x/0.5)
In the above function, g(x) will be stretched by 0.5 units
For this case we must find the unit cost of juice box of each option and compare:
Option A: 2 juice boxes for $ 0.66
Option B: 6 juice boxes for $ 1.92
Option C: 9 juice boxes for $ 2.97
Option D: 12 juice boxes for $ 4.20
The most feasible option is B. That is, buy 6 boxes for $1.92
Answer:
Option B
if each side is 8 it equals 64
if each side is 6 it equals 48
if each side is 4 it equals 32
if each side is 3 it equals 24
hope i helped
D. 360 cm squared
Explanation:
Multiply each faces edges.
18x7(WxL)
3x6(HxW)
3x18(HxL)
multiply each equations answer by 2, because the opposite face is the same.
108x2=216
18x2=36
54x2=108
add these together to get 360 cm squared.
