Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
The unit rate is 2 miles per hour
Step-by-step explanation:
The unit rate in this case will be found out by dividing the distance by time.
Given

When there are fraction in the numerator and denominator, the fraction is simplified by multiplying the numerator fraction with reciprocal of the denominator fraction

The unit rate is 2 miles per hour
Keywords: Unit rate
Learn more about unit rate at:
#LearnwithBrainly
Part A)
we know that
<span>scale ----------> inch/4 feet=0.25 in/ft
</span>[scale]=[scale drawing]/[actual]
[actual]=[scale drawing]/[scale]
for <span>length --------> 4 1/2 in ---------> 4.5 in (</span>scale drawing)
[actual]=[4.5]/[0.25]=18 ft
for <span>width ---------> 3 3/8 in</span> ---> (3*8+3)/8 ---> 27/8 in (scale drawing)
[actual]=[27/8]/[0.25]=13.5 ft
the answer part A is
length actual <span>kitchen floor is 18 ft
</span>width actual kitchen floor is 13.5 ft
Part B)
the area of one square in the actual=(1/2)*(1/2)=0.25 ft²
total area gray tiles=0.25*14=3.5 ft²
total area white tiles=0.25*10=2.5 ft²
find <span>how many tiles 2 in by 2 in of each color will he need
1ft</span>²-------------> 144 in²
gray tiles
3.5 ft²---------------> 3.5*144=504 in²
[tiles 2 in by 2 in gray]=504/(2*2)=126 gray tiles
white tiles
2.5 ft²---------------> 2.5*144=360 in²
[tiles 2 in by 2 in white]=360/(2*2)=90 white tiles
the answer Part B) is
126 gray tiles
90 white tiles
Step 1 :Pulling out like terms :
<span> 1.1 </span> Pull out like factors :
2p + 8 = 2 • (p + 4)
<span>Equation at the end of step 1 :</span><span> Step 2 :</span>Equations which are never true :
<span> 2.1 </span> Solve : 2 = 0
<span>This equation has no solution.
</span> A a non-zero constant never equals zero.
Solving a Single Variable Equation :
<span> 2.2 </span> Solve : p+4 = 0<span>
</span>Subtract 4 from both sides of the equation :<span>
</span> p = -4
One solution was found : p = -4