The correct option is k(x) = 5x - (5-x)
<h3>What is Function?</h3>
The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
g(x) = 5x h(x) = 5 - x
Now,
k(x) = (g - h)(x)
k(x) = g(x) - h(x)
k(x) = 5x - (5 - x)
Thus, the correct option is k(x) = 5x - (5-x).
Learn more about function from:
brainly.com/question/12431044
#SPJ1
Answer:
y= 1/2x - 8
Step-by-step explanation:
Answer:
Yes, her reasoning is correct
Step-by-step explanation:
Given the ratio: 109.2 : 6
Written in fractional form, we have:
![109.2: 6=\dfrac{109.2}{6}](https://tex.z-dn.net/?f=109.2%3A%206%3D%5Cdfrac%7B109.2%7D%7B6%7D)
Now:
Therefore, the student's reasoning is correct. In fact, as a check:
![\dfrac{109.2}{6}=18.2\\\\\dfrac{1092}{60}=18.2](https://tex.z-dn.net/?f=%5Cdfrac%7B109.2%7D%7B6%7D%3D18.2%5C%5C%5C%5C%5Cdfrac%7B1092%7D%7B60%7D%3D18.2)
We would obtain the same result in both cases.
Remark
The area = 4*(x + 3) to start with. If you remove the brackets,
A = 4(x + 3)
A = 4*x + 3*4
A = 4x + 12 <<<<<< Answer for A
Part B
The area will become 4 times larger.
A = 4*(4x + 12)
A = 16x + 48
Argument
You may not be wholly satisfied with an unproved statement. I could prove it with algebra but it might be easier just to give an example.
Area = L * W
L = 10
W = 5
Area = 10*5
Area = 50
Now double both L and W
L = 20
W = 10
Area = L*W
Area = 20*10
Area = 200 which is 4 times the size of 50.