The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. what is the value of k?

a: 3
b: 7
c: 10
d: 13

k=17

Step-by-step explanation:

Given F(x)=2x+3  shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

Now add 10 to this x coordinate , we get x1==

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get

k=17

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.