Answer:
Step-by-step explanation:
(2x^2-x)+(x^2+3x-1)
2x^2-x+x^2+3x-1
x^2+3x-1
5x^2+2x-1+(4x^2-x+2)
5x^2+2x-1+4x^2+x-2
9x^2+6x-3
(3x^2+2x+1)+(x^2-1)
3x^2+2x+1+x^2-1
4x^2+2x
-x^2-1+(4x^2-x)
-x^2-1+4x^2-x
3x^2-1-x
Your question is incomplete, here is the complete question with the solution.
Clunker Motors Inc. is recalling all vehicles from model years 1995 - 1998 and 2004 - 2006. A Boolean variable named norecall has been declared. Given an int variable modelYear, write a statement that assigns true to noRecall if the value of modelYear does NOT fall within the two recall ranges and assigns false otherwise.
Answer and Step-by-step explanation:
Given that
boolean norecall;
int modelYear;
We can solve this problem in three ways as given below:
<u>1st Method: Using If statement</u>
if((modelYear > 1994 && modelYear < 1999 )||(modelYear > 2003 && modelYear < 2007 )){
norecall = false; // this will assign false if the value of the modelYear falls within the two recall ranges
}else{
norecall = true; // this will assign true if the value of the modelYear does NOT falls within the two recall ranges
}
<u>2nd Method: Without using If Statement</u>
(!(modelYear >= 1995) && (modelYear <= 1998)) || (!(modelYear >= 2004) && (modelYear <= 2006))
// in this line the ymbol "!" shows that if the range is not within the two recall ranges (1995-1998 & 2004-2006) then it will goes down and will assign true to norecall.
norecall = true;
<u>3rd Method: Using Conditional Statement</u>
((modelYear>=1995 && modelYear <=1998) || (modelYear>=2004 && modelYear<=2006)) ? norecall =true : norecall =false;
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
The answer is 1, however, i do not know how to show the work. Sorry!