Answer:
-36 • (22u + 1)
Pulling out like terms :
2.1 Pull out like factors :
-74u - 5 = -1 • (74u + 5)
Equation at the end of step 2 :
(6 • (58u + 1)) - -6 • (74u + 5)
Step 3 :
Equation at the end of step 3 :
6 • (58u + 1) - -6 • (74u + 5)
Step 4 :
Pulling out like terms :
4.1 Pull out 6
Note that -6 =(-1)• 6
After pulling out, we are left with :
6 • ( (-1) * (58u+1) +( (-1) * (74u+5) ))
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-132u - 6 = -6 • (22u + 1)
Final result :
-36 • (22u + 1)
Answer:
Option 2 is correct.
Step-by-step explanation:
We have been provided a table of values of an exponential function and we are asked to find out the decay factor of the function.
Upon looking at our table we can see that every time x increases by one our y value remains one-third of the previous value.
To find out decay factor we will subtract 1/3 from 1.
Therefore, decay factor of the exponential function is 
and option 2 is correct choice.
In Mr. Porter's equation the initial "d" represents the initial value of the house. The term "+0.21d" represents the increase in value, 21% of its original value (d).
The correct percentage increase is 21%.
Answer:
19.82 units
Step-by-step explanation:
The number of units of tile simply refers to the perimeter.
So, we need to find all the sides of the rectangle.
Now, we have AB = 4.24 units and BD = 7.07 units.
So, we can find AD using pythagoras theorem.
So,
(AD)² + 4.24² = 7.07²
(AD)² + 17.978 = 49.985
(AD)² = 49.985 - 17.978
AD = √32.007
AD = 5.66 units
AD = BC = 5.66 units
Likewise, AB = DC = 4.24 units
Thus,
perimeter = 2(5.66) + 2(4.24) = 19.8 units
Closest answer among the options is approximately 19.82
Answer:
Last one:
2 x + 4 y = 6. 3 x minus 4 y = 9.
Step-by-step explanation:
2x + 4y = 6
3x - 4y = 9
4y = 3x - 9
2x + 3x - 9 = 6
5x = 15
x = 3
4y = 3(3) - 9
4y = 0
y = 0
Only one solution, which is (3,0)
