Answer:
x=15
Step-by-step explanation:
21-6=15
-4x+y=-5x-y=15
x+y=-y=15
x=15
A measurement is an area of number sense that relates to the quantity of ingredients in recipes
It’s 1 because of -8x^4-x^2+2
Let's create a table, and use arbitrary values of x between -3 and 3 (if the solution is not in this interval, we can use another one later). If we call:
![f(x)=x^2-4x+4](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-4x%2B4)
We want to find the x's for with f(x) = 0
This is the table:
And now we can evaluate f(x) in each value of x to complete the table:
![\begin{gathered} f(-3)=(-3)^2-4\cdot(-3)+4=9+12+4=25 \\ f(-2)=(-2)^2-4\cdot(-2)+4=4+8+4=16 \\ f(-1)=(-1)^2-4\cdot(-1)+4=1+4+4=9 \\ f(0)=0^2-4\cdot0+4=4 \\ f(1)=1^2-4\cdot1+4=1-4+4=1 \\ f(2)=2^2-4\cdot2+4=4-8+4=0 \\ f(3)=3^2-4\cdot3+4=9-12+4=1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28-3%29%3D%28-3%29%5E2-4%5Ccdot%28-3%29%2B4%3D9%2B12%2B4%3D25%20%5C%5C%20f%28-2%29%3D%28-2%29%5E2-4%5Ccdot%28-2%29%2B4%3D4%2B8%2B4%3D16%20%5C%5C%20f%28-1%29%3D%28-1%29%5E2-4%5Ccdot%28-1%29%2B4%3D1%2B4%2B4%3D9%20%5C%5C%20f%280%29%3D0%5E2-4%5Ccdot0%2B4%3D4%20%5C%5C%20f%281%29%3D1%5E2-4%5Ccdot1%2B4%3D1-4%2B4%3D1%20%5C%5C%20f%282%29%3D2%5E2-4%5Ccdot2%2B4%3D4-8%2B4%3D0%20%5C%5C%20f%283%29%3D3%5E2-4%5Ccdot3%2B4%3D9-12%2B4%3D1%20%5Cend%7Bgathered%7D)
The table is:
If we use this values and plot them in the cartesian plane.
We get:
And now if we plot a line that connects the points, we get the graph of the quadratic equation:
Since the problem ask us to find the value of x for which f(x) = 0, we can see both in the table and in the graph that this value is x = 2
All functions have a dependent variable. TRUE
All functions have an independent variable. TRUE
The range of a function includes its domain. FALSE
[Range refers to the set of outputs the function produces, domain the set of inputs the function accepts. They don't really have to have anything to do with each other.]
A vertical line is an example of a functional relationship. FALSE
[For a function, each input (x value) maps to at most one output (y value). A vertical line has lots of ys for a single x.]
A horizontal line is an example of a functional relationship. TRUE
[It's a constant function.]
Each output value of a function can correspond to only one input value. FALSE
[A function can have the same output given different inputs, for example f(x)=x^2 has f(1)=f(-1) ]