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Simora [160]
2 years ago
11

What are the solutions of the quadratic equation (x + 3)2 = 49? A. O x = 2 and x = - 10 B.O.x = 4 and x = -10 C.O x=-2 and x = -

16 D.O x = 40 and x = -58​
Mathematics
1 answer:
tatyana61 [14]2 years ago
8 0

Answer:

B. x = 4 and x = -10

Step-by-step explanation:

First, expand the equation

(x + 3)² = 49

(x + 3)(x + 3) = 49

x² + 6x + 9 = 49

Subtract 49 from both sides

x² + 6x -40 = 0

Factor

(x + 10)(x - 4) = 0

Solve

x + 10 = 0

x = -10

x - 4 = 0

x = 4

So, the correct answer is B. x = 4 and x = -10

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Lenny is offered jobs at two different companies. At company A, he gets a base salary of $55,000 with manual raises of $2500. At
mel-nik [20]
Before answering these questions, we need to write out both equations.
For Job 'A', his salary would be: 55,000 + 2,500n
This assumes 'n' equals the number of years Lenny spends at these companies. 
For Job 'B', his salary would be: 62,000 + 2,000n

A.
So basically we need to find a number were:
55,000 + 2,500n = 62,000 + 2,000n
is true. So basically solve ^that^ equasion.
55,000 + 2,500n = 62,000 + 2,000n
simplify
500n = 7,000
devide
n = 14
Fourteen years is your answer.

B.
     a. 55,000 + 2,500n
     b. 62,000 + 2,000n
So in order to answer this question, you basically just have to replace 'n' with the number '20', and see which one's bigger.
a. 
55,000 + 2,500(20)
55,000 + 50,000
105,000
b.
62,000 + 2,000(20)
62,000 + 40,000
102,000
105,000 > 102,000
So your answer is:
Lenny should go to company 'a' because 105,000 is greater than 102,000.
[[tip: If you want to wow, surprise, or confuse your teacher (depending on her actual intelligence) write something like, 'another reason Lenny should choose company 'a' is because it gives higher annual raises, which is better in long-term.' He/She may not get it though, lol, wrong class.]] 

Anyway, I hope this helped! :D
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2 years ago
How do you solve 9 - x = 10 using algebraic operations?
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