Let's solve your equation step-by-step.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>65+6x</span>+3x</span>+9</span>+65</span>=180
</span><span><span><span>(<span>6x+3x</span>)</span>+<span>(<span>65+9+65</span>)</span></span>=180 </span>(Combine Like Terms)
<span><span><span>
9x</span>+139</span>=180</span><span><span>9x+139</span>=180
</span>
Step 2: Subtract 139 from both sides.
<span><span><span><span>
9x</span>+139</span>−139</span>=180−139</span><span>9x=41
</span>
Step 3: Divide both sides by 9.
<span><span>9x/9</span>=<span>41/9
</span></span><span> x=<span>41/9
And finally you divided by 41/9
Answer is x= 4.555556
</span></span>
Answer:
Slope=-2/3, y-intercept=2, x-intercept=3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 2 units for every 3 units the independent variable increases."
When x increases by 3, y decreases by 2
So the slope = rate of change of y / rate of change of x = -2/3
Given h(0)=2, h(0)=m(0)+c=2
c=2
Combining slope and y-intercept, y=-2/3*x+2
x-intercept is when y=0
0=-2/3*x+2
2/3*x=2
x=2*3/2=3
x-intercept=3
Answer:
An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.
They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.
First answer is A
Second answer is C
