X + y = 15
xy = -312
x + y = 15
x - x + y = -x + 15
y = -x + 15
xy = -312
x(-x + 15) = -312
x(-x) + x(15) = -312
-x² + 15x = -312
-x² + 15x + 312 = 0
-1(x²) - 1(-15x) - 1(312) = 0
-1(x² - 15x + 312) = 0
-1 -1
x² - 15x + 312 = 0
x = -(-15) ± √((-15)² - 4(1)(312))
2(1)
x = 15 ± √(225 - 1248)
2
x = 15 ± √(-1023)
2
x = 15 ± 31.984i
2
x = 7.5 ± 15.992
x = 7.5 + 15.992 or x = 7.5 - 15.992
x = 23.492 or x = -8.492
x + y = 15
23.492 + y = 15
- 23.492 - 23.492
y = -8.492
(x, y) = (23.492, -8.492)
or
x + y = 15
-8.492 + y = 15
+ 8.492 + 8.492
y = 23.492
(x, y) = (-8.492, 23.492)
The two numbers that add up to 15 and mutliply to -312 are -8.492 and 23.492.
The expression in scientific notation is given as follows:
3.5 x 10³.
<h3>What is scientific notation?</h3>
A number in scientific notation is given by:
With the base being .
For this problem, the expression is given by:
When two factors of a multiplication have the same base and different exponent, we <u>keep the base and add the exponents,</u> hence:
5 x 4.2 = 21, hence the expression is:
When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:
Which is the simplified expression.
More can be learned about scientific notation at brainly.com/question/16394306
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Answer:
The answer is (-$200) to the left
Step-by-step explanation:
Solution
It is assumed that when a number is positive, it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as deposit to a bank account, then a negative number is a withdrawal from that bank account.
So, If a positive number means addition, then a negative number would also mean subtraction.
The amount that represents a withdrawal of less than $200 would be (-$200)
Answer:
x= 3 over 10 =0.300
Step-by-step explanation:
Hope this helps!