Drag each tile to the correct box. Arrange the steps in the correct order to solve the equation.

Take the log of each side:
.

Use the Exponential Property and
write in decimal form:
.

Divide each side by log 2:
.

Divide both sides of the equation
by 3:
.

Simplify:
.

Add 4 to each side of the
equation:
.

Add 5 to each side of the
equation:
.

Find the value of
and substitute:
.

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in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

1; 35 is the ratio

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )