Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
Answer:
no...
Step-by-step explanation:
Answer:
Step-by-step explanation:
Close number to 641 is 640
Close number to 59 is 60
Estimate for 641/59 ⇒ 640/60
Answer:
a. £24,714.29
b. £16,833.33
Step-by-step explanation:
The calculation of mean income is given below:-
Mean income = Total addition of salaries ÷ Number of workers
= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000
= £173,000 ÷ 7
= £24,714.29
Now,
the Mean income excluding Deva's salary:
= Formula of Mean income
= Total addition of salaries excluding Deva salary ÷ Number of workers
= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6
= £101,000 ÷ 6
= £16,833.33
Answer:
X<-11/2
Step-by-step explanation:
Hope I helped:)
