If the equation below is solved by graphing, which statement is true? log(6x+10)=log1/2x the curves intersect at approximately x = 0.46. the curves intersect at approximately x = 0.75. the curves intersect at approximately x = 1.11. the curves intersect at approximately x = 3.07.

Option A -The curves intersect at approximately x = 0.46.

Step-by-step explanation:

Given : The equation

To find : Which statement is true about the equation.

Solution :

Let the first equation

Let the second equation  

The equation and are equal

which means the curve intersect at some point.

First we plot the graph of the equations.

The graph is attached below.

The intersection point of the equation is (0.464,1.107)

The curves intersect at approximately x = 0.46.

Therefore,Option A is correct.

Verification :

The curve intersect at approximately x=0.46

Step-by-step explanation:

Given equation

Here we have both sides log function.

We will draw the graph of left and right side separately using graph.

Left side

Using graphing calculator we draw both graph on same coordinate place.

Please see the attachment for graph.

As we can see in the graph y1 and y2 intersect at point (0.46,1.12)

Thus, The curve intersect at approximately x=0.46

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

answer: 193

explanation:

200-7 = 193