Find the length of x

Step-by-step explanation:

We will use a proportion to solve this. All we need are two corresponding values. One is x and 7, we'll pick the other as 32 and 4.

Now, we'll set up the proportion

To solve a proportion, we cross multiply the means and extremes.

4x = 32 x 7

4x = 224

x = 56

We can check the proportion by substituting our answer in for x and seeing if the products equal. If they do, we know we have the correct answer.

4(56) = 32 x 7

224 = 224 ✅

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: