(5x2 + 2x + 11) − (7 + 4x − 2x2)
Answers
The difference between the polynomials 5x² + 2x + 11 and 7 + 4x - 2x² is 7x² - 2x + 4 option (D)7x² - 2x + 4 is correct.
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
The complete question is:
FIND THE DIFFERENCE:
(5x² + 2x + 11) - (7 + 4x - 2x²)
- A. 9 - 2x - 2x²
- B. 3x² - 2x + 4
- C. 3x² + 6x + 4
- D.7x² - 2x + 4
We have two polynomials:
5x² + 2x + 11 and 7 + 4x - 2x²
We have subtract the polynomial 7 + 4x - 2x² from the polynomial 5x² + 2x + 11
= (5x² + 2x + 11) - (7 + 4x - 2x²)
Using distributive property:
= 5x² + 2x + 11 - 7 - 4x + 2x²
= 7x² - 2x + 4
The difference is 7x² - 2x + 4
Thus, the difference between the polynomials 5x² + 2x + 11 and 7 + 4x - 2x² is 7x² - 2x + 4 option (D)7x² - 2x + 4 is correct.
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1 d.p = 755.0
Answers
Answers
y=x+7
y=2-8y+7
9y=2+7
9y=9
y=1
Step: Solve x=y−7 for x:Step: Substitute y−7 for x in x+8y=2:
x+8y
=2y−7+8y=2
9y−7=2(Simplify both sides of the equation)
9y−7+7=2+7(Add 7 to both sides)9y=9
9y/9=9/9(Divide both sides by 9)
y=1
Step: Substitute 1 for y in x=y−7:x=y−7
x=1−7
x=−6(Simplify both sides of the equation)
Answer:x=−6 and y=1
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Answer:
72.4
Step-by-step explanation:
2x + 3y = 1240
x = 2y – 10
How many of each type of ticket were sold?
Answers
The given equations satisfy the given conditions. There are 2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
The number of each type of tickets sold are as follows:
number of food ticket sold = 350
number of ride ticket sold = 180
How to solve for the variable in a system of equation?
x = number of food sold
y = number of ride tickets sold
Therefore,
2x + 3y = 1240
x = 2y – 10
Hence,
2x + 3y = 1240
x - 2y = – 10
2x + 3y = 1240
2x - 4y = -20
7y = 1260
y = 1260 / 7
y = 180
Therefore,
x = 2(180) - 10
x = 360 - 10
x = 350
Therefore, 350 food tickets were sold and 180 ride tickets were sold.
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