Answer:
C: x^4+6x^3-12x-72
Step-by-step explanation:
For the function : f(x)=√x^2+12x+36
It can be factorized to
f(x)=√(x+6)²
=x+6
f(x)*g(x)
=(x+6)(x^3-12)
Expand the brackets
=x^4-12x+6x^3-72
rearrange the numbers
x^4+6x^3-12x-72
Volume of the pan = Length x width x height = 168 in^3
Volume of bar = L x W x H = 12 in^3
Then you should divide volume of pan/volume of bar
168/12 = 14 BARSSZZZZZZZ
I HOPE IT HELPED
Answer:
16a+20
Step-by-step explanation:
4(4a+5) -----Distributive property
16a+20
Hope this helps ;) ❤❤❤
Answer:
5770 feet
Step-by-step explanation:
The height of the wall under the Waters proposal is 20 feet and the height of the wall under the Barrett proposal is 34 feet and its perimeter is 9809 feet. Since there is an increase in the dimensions of the wall, we find this percentage increase.
So, the percentage increase in the height of the wall is thus (New height - Old height)/Old height × 100%
New height = 34 feet and Old height = 20 feet
So, Percentage increase = (New height - Old height)/Old height × 100% = (34 ft - 20 ft)/20 ft × 100 % = 14/20 × 100% = 7/10 × 100% = 70 % increase.
Since all the dimensions increase by the same amount, the perimeter in the Waters proposal increases by 70% to the perimeter in the Barrett proposal.
Let P = perimeter in the Waters proposal and P' = perimeter in the Barrett proposal.
So, the percentage increase in perimeter is
(P' - P)/P × 100 % = 70 %
We now find P
(P' - P)/P = 70%/100%
(P' - P)/P = 0.7
P' - P = 0.7P
P' = 0.7P + P
P' = 1.7P
P = P'/1.7
So, substituting the value for P' = 9809 feet
P = P'/1.7
= 9809 ft/1.7
= 5770 feet
So, the perimeter of the wall under the Waters Proposal is 5770 feet.
Answer:
c) 4
The value of z= 4
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equations are
3x - y =16 .. . (i)
3x -4z =2 .. . (ii)
2x +y = 14 .. .(iii)
solving (i) and (ii) equations , we get
Adding (i) and (ii)
3 x -y + 2x +y = 16 +14
5 x = 30
x = 6
<u><em>step(ii):-</em></u>
Substitute 'x' =6 in equation (i), we get
3(6) -y =16
18 - 16 =y
y = 2
x =6 and y =2
substitute x=6 in equation (ii) , we get
3 (6) - 4 z = 2
18 - 2 = 4 z
16 = 4 z
z = 4
<u><em>Final answer:-</em></u>
x = 6 , y = 2 and z =4
