Answer:
1.53x−14.23
Step-by-step explanation:
<em>simplify: </em>
5.03x−8.03−(3.5x+6.2)
<em>Distribute the Negative Sign:</em>
=5.03x−8.03−1(3.5x+6.2)
=5.03x−8.03−1(3.5x)+(−1)(6.2)
=5.03x−8.03−3.5x−6.2
<em>Combine Like Terms:</em>
=5.03x−8.03+−3.5x−6.2
=(5.03x−3.5x)+(−8.03−6.2)
=1.53x−14.23
Answer:
x = 929/126
Step-by-step explanation:
12/19(x-22)=38-6x-3
Combine like terms
12/19(x-22)=35-6x
Multiply each side by 19
19* 12/19(x-22)=19*(35-6x)
12( x-22) = 19*(35-6x)
Distribute
12x - 264 = 665 - 114x
Add 114x to each side
12x +114x - 264 = 665 - 114x+114x
126x -264 = 665
Add 264 to each side
126x-264+264 = 665+264
126x = 929
Divide each side by 126
126x/126 = 929/126
x = 929/126
M(x)=−(x−5) 2 +25m, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 5, right parenthesis, squ
Aleksandr [31]
Answer:
25
Step-by-step explanation:
Given the function that represents the amount of mosquitoes as;
M(x) = -(x-5)² + 25
To get the maximum mosquitoes possible, we need to first find x;
At the maximum dM/dx = 0
dM//dx = -2(x-5)
0 = -2(x-5)
-2(x-5) = 0
-2x + 10 = 0
-2x = -10
x = 10/2
x = 5
Substitute x = 5 into the function;
M(5) = −(5−5)² +25
M(5) = 0+25
M(5) = 25
Hence the maximum number of mosquitoes is 25
Answer:
Below in bold.
Step-by-step explanation:
c) 3 x (9^2)^3/4 x ((81^3)^5/6
= 3 x 81^3/4 x 81^15/6
= 3 x 81^(3/4 + 15/6)
= 3 x 81^13/4
= 3 x 3^13
= 3^14
= 4,782,969.
f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2
= 5^-2 x^2y^-4 / 625 x^4y^-2
= 5^-2 x^-2 y^-2 / 5^4
= 5^-6 x^-2y^-2
= 0.000064x^-2y^-2.
Answer: 46
Step-by-step explanation:
Largest prime number: 97
Smallest prime number: 51
97-51 = 46
