<h3>6 is a solution to equation 6x + 5 = 12 + 5x</h3>
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
6x + 5 = 12 + 5x
Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution
<em><u>Substitute x = 4</u></em>
6(4) + 5 = 12 + 5(4)
24 +5 = 12 + 20
Thus 4 is not a solution
<em><u>Substitute x = 5</u></em>
6(5) + 5 = 12 + 5(5)
30 + 5 = 12 + 25
Thus 5 is not a solution
<em><u>Substitute x = 6</u></em>
6(6) + 5 = 12 + 5(6)
36 + 5 = 12 + 30
Thus 6 is not a solution
<em><u>Substitute x = 7</u></em>
6(7) + 5 = 12 + 5(7)
42 + 5 = 12 + 35
47 = 47
Thus 6 is a solution
Answer:
90000
Step-by-step explanation:
To get the total area multiply 75 by 30 then to get the number of people multiply the product by 40. 75*30*40=90000
Answer:
1.
Variable: x
Inequality: x ≤ 12
Value that matches: 12
2.
Variable: y
Inequality: y < 66
Value that matches: 60
Step-by-step explanation:
Solving (1):
Let x be the variable
Reading through the question, we have the inequality to be represented by "at most".
At most is used for less than or equal to.
Hence, the expression can be represented by:
x ≤ 12
The range of this inequality is limited to all natural number that do not exceed 12.
Examples are 8, 2, 11, 12
Solving (2):
Let the variable be y
Reading through the question, we have the inequality to be represented by "below".
Below means less than
Hence, the expression can be represented by:
y < 66
The range of this inequality is limited to all number less than 66.
Examples are 65, 1 , 60......
the answer is D. y≤ -2x + 2
take x=2
then (-2 x 2) + 2
⇒ -4 + 2 = -2
Answer:
f'(9) = 6
Step-by-step explanation:
f(x) = 6x+7
The derivative is
f'(x) = 6
Evaluated at x=9
f'(9) = 6
