5n = 3(n + 2) + 10
5n = 3n + 16
12n = 16
n = 8
8 is smaller integer and 10 is the larger.
Answer: B
Step-by-step explanation:
To isolate x, you divide both sides by 21
21x=7
x = 7/21
Simplify by dividing both the numerator and denominator by 7
x = 1/3
Since, 1/3 is not an option, B is the correct answer
I hope the solution in pic helps you
Answer:
Step-by-step explanation:
Add 6 to both sides:
Divide both sides by -3:
Subtract 4 from both sides:
Divide both sides by 2:
Answer:
Kendra should have multiplied the x-values by 75 to get the y-values
Step-by-step explanation:
Given
Table
X|| Y
1 || 75
2 || 150
3 || 225
4 || 300
5 || 375
Given that Kendra multiply x by 7.5 to get y
The relationship of x and y can be calculated as thus;
y = rx
Where y and x are the values at the y and x column respectively and r is the constant of proportionality
When y = 75, x = 1.
Plug in these values in the above formula
y = rx becomes
75 = r * 1
75 = r
r = 75
When y = 150, x = 2
150 = r * 2
Multiply both sides by ½
150 * ½ = r * 2 * ½
75 = r
r = 75
When y = 225, x = 3
225 = r * 3
Multiply both sides by ⅓
225 * ⅓ = r * 3 * ⅓
75 = r
r = 75
Notice that r remains 75 and the difference between y values is 75
If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.
Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values
