Answer:
solution attached below
Step-by-step explanation:
Let’s solve the equation
0.5(5x+1) = 3
= 2.5x + 0.5 = 3
= 2.5x = 3 - 0.5
= 2.5x = 2.5
= x = 1
Hope it helped !!!
Comments below
Answer:
The equation of the line best fit is y = x + 12
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (2, 14) and (10, 22)
∴ x1 = 2 and y1 = 14
∴ x2 = 10 and y2 = 22
→ Substitute them in the rule of the slope above to find it
∵ m = ![\frac{22-14}{10-2}=\frac{8}{8}=1](https://tex.z-dn.net/?f=%5Cfrac%7B22-14%7D%7B10-2%7D%3D%5Cfrac%7B8%7D%7B8%7D%3D1)
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = (1)x + b
∴ y = x + b
→ To find b substitute x by 2 and y by 14 in the equation
∵ 14 = 2 + b
→ Subtract 2 from both sides
∴ 14 - 2 = 2 - 2 + b
∴ 12 = b
→ Substitute it in the equation
∴ y = x + 12
∴ The equation of the line best fit is y = x + 12
<span>We convert the sentences to mathematical expressions as follows
"</span>Four times the sum of the least and greatest integers" : 4[n+(n+2)]
"is 12 less than three times the least integer": = 3n-12
So we have:
4[n+(n+2)]=3n-12 (this is the equation)
4[2n+2]=3n-12
8n+8=3n-12
8n-3n=-12-8
5n=-20
n=-20/5=-4
Answer: the equation is 4[n+(n+2)]=3n-12 , the least integer is -4
Answer: False
The tenth place means there will be 1 decimal.
75.2515
because they 5 is left to the 2, and 5 means we round up, the 2 becomes a 3. Therefore, it would equal 75.3