Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn fro 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

complete question:

Solve the inequality that represents the story. Then interpret what the solution means in the story.

Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall.

9 - 7x < 6

x > 3/7

x which is the inches per minute the candle will burn should be greater than 3/7 for the candle to be less than 6 inches tall.

Step-by-step explanation:

The candle is 9 inches and it burns down x inches per minute. Lin wants to let the candle burn for 7 minutes until it is less than 6 inches tall. The inequality can be solved below.

9 - 7x < 6

subtract 9 from both sides of the equation

9 - 9 - 7x  < 6 - 9

- 7x < - 3

divide both sides by -7

- 7x / -7 < - 3/ - 7

dividing both sides with a negative values changes the inequality sign

x > 3/7

x which is the inches per minute the candle will burn should be greater than 3/7 for the candle to be less than 6 inches tall.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.