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>
Let us assume the length of a side of the square floor = x feet
Area of the square floor as given in the question = 320 square feet
Then
x^2 = 320
x^2 = (17.89)^2
Then
x = 17.89
= 18 feet approx
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option or option "B".
Answer:
hello
4.678 = 4 678 / 1000
Step-by-step explanation:
Answer:
-2x^2-8x+12
Step-by-step explanation:
f(x)=3x^2-2x+4
g(x)=5x^2+6x-8
(f-g) (x)= 3x^2-2x+4 - (5x^2+6x-8)
Distribute the minus sign
(f-g) (x)= 3x^2-2x+4 - 5x^2-6x+8
Combine like terms
=-2x^2-8x+12