Answer:
x = −2
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(−3x+4)+3x−3=−29
Step 1: Simplify both sides of the equation.
−2(−3x+4)+3x−3=−29
(−2)(−3x)+(−2)(4)+3x+−3=−29(Distribute)
6x+−8+3x+−3=−29
(6x+3x)+(−8+−3)=−29(Combine Like Terms)
9x+−11=−29
9x−11=−29
Step 2: Add 11 to both sides.
9x−11+11=−29+11
9x=−18
Step 3: Divide both sides by 9.
9x
/9 = −18
/9
x=−2
I hope this helps!!!
The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Important assumptions in regression model analysis are
- There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
- There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
- The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
- The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
- The error terms must be normally distributed.
Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Learn more about regression model here
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Answer:
diarrhea
Step-by-step explanation:
Answer:
A) 9 photos in each row
B) 14 rows in total
Step-by-step explanation:
Photos of People = 45
Photos of Landscapes = 18
Photos of Pets = 63
Jenny wants to arrange these photos in rows with only one kind of photos in each row and same number of photos in each row. We have to find the greatest possible number of photos in each row. For this we need to find the greatest common factor of 45,18 and 63. This would give us the greatest possible number of photos that can be placed in each row.
By observing the 3 numbers, we can tell that the greatest common factor of these 3 numbers is 9. So, Jenny can place 9 photos in each row.
So,
There will be:
45/9 = 5 rows with photos of people
18/9 = 2 rows of photos of landscapes
63/9 = 7 rows of photos of pets
So, total number of rows would be = 5 + 2 + 7 = 14 rows
282
Step-by-step explanation:
C=180-112=68
A=180-68-51=61
sum of exterior angles=112+119+51=282