Answer:
<u>The negative solution is -4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = a number
4x = x² - 32 (4 times a number is 32 less than the square of that number)
2. Let's solve for x and find the negative solution:
4x = x² - 32
-x² + 4x + 32 = 0
x² - 4x - 32 = 0 (Multiplying by - 1)
(x - 8) (x + 4) = 0
(x₁ - 8) = 0
(x₂ + 4) = 0
x₁ = 8
<u>x₂ = -4</u>
<u>The negative solution is -4</u>
3/7. if you make them equivalent fractions it would be 30/70 or 14/70. 30/70 is bigger.
Since the slope and the y-intercept for the equation of y = mx + b doesn't exist, you don't need to include it.
y = mx + b
Without the m and b, which are the slope and y-intercept, you are left with x.
Then, you need to figure out whether the line is horizontal, or vertical.
If the line is vertical, you keep the x, and find out the value x is on for every point of y.
If the line is horizontal, you keep the y, and find out the value y is on for every point of x.
Since the line is vertical, we can use x = ?
The line is always at x=2, no matter what the y-value is, so the final equation would be x=2.
<em>I hope this helped you! :)</em>
Answer:
Bouquets of roses = 20
Bouquets of carnations = 08
Step-by-step explanation:
Let,
x be the bouquets of roses sold
y be the bouquets of carnations sold
According to given statement;
x + y = 28 Eqn 1
16x + 10y = 400 Eqn 2
Multiplying Eqn 1 by 16
16(x+y=28)
16x + 16y = 448 Eqn 3
Subtracting Eqn 2 from Eqn 3
(16x+16y)-(16x+10y) = 448 - 400
16x + 16y - 16x - 10y = 48
6y = 48
Dividing both sides by 6
Putting y=8 in Eqn 1
x + 8 = 28
x = 28 - 8
x= 20
Hence,
Bouquets of roses = 20
Bouquets of carnations = 08
