Answer:
3 12/18 or 3 2/3
Step-by-step explanation:
you subtract them but since 11 is smaller than 17 you add 18 to it which then you subtract that by 17
To find the inverse function of a function, you rearrange for the x term (could be some other letter) and then swap the function and the x at the end. For example,
and so,
![g^{-1}(x) = \frac{x+10}{15}.](https://tex.z-dn.net/?f=g%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7Bx%2B10%7D%7B15%7D.)
For part 3 we have
and hence,
![h^{-1}(x)=4x+12=4(x+3)](https://tex.z-dn.net/?f=h%5E%7B-1%7D%28x%29%3D4x%2B12%3D4%28x%2B3%29)
Can you do part 4 on your own?
For this answer is will be b
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
The system of inequalities that correctly represents this scenario is given by:
.
.
<h3>What is a system of inequalities?</h3>
A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of nachos sold.
- Variable y: number of popcorn sold.
The manager of the stand expects sales of a minimum of 100 items, hence:
.
The concession stand at a local high school sells nachos for $4 each and popcorn for $2 each. The manager wants a total of at least $225, hence:
![4x + 2y \geq 225](https://tex.z-dn.net/?f=4x%20%2B%202y%20%5Cgeq%20225)
More can be learned about a system of inequalities at brainly.com/question/3656398
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