then 130÷4=3.5 for the first piece and 130-3.5=9.5
The solution to x^2 - 4x = 5 is x = -1 or 5
<h3>How to solve the equation?</h3>
The equation is given as:
x^2 - 4x = 5
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add this value to the sides of the equation
x^2 - 4x + 4= 5 + 4
Express as a difference of two squares
(x - 2)^2 = 9
Take the square root of both sides
x - 2 = ±3
Add 2 to both sides
x = 2 ± 3
Evaluate
x = -1 or 5
Hence, the solution to x^2 - 4x = 5 is x = -1 or 5
Read more about quadratic equations at:
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Answer:
f(-2) = -1
Step-by-step explanation:
f(x) = -x^2 + 3
f(-2) means when x is -2
Shown in the graph below, the point of solution is: (-2,-1), so when x is -2 y is -1
Answer:
The total weight would be 5 lbs 12 oz.
Step-by-step explanation:
First, combine the ounces:
13 + 15 = 28 ounces
Next, convert that into pounds and ounces.
28 oz = 1 lb + 12 oz
Finally, add the weight back to the 4 lb.
1 lb + 4 lb + 12 oz = 5 lb + 12 oz
Answer:
In step-by-step-explanation
Step-by-step explanation:
2) ( x + 1 ) * ( x - 7 ) = x² - 7x + x - 7 ⇒ x² - 6x - 7
In x² - 6x - 7 a = 1 b = -6 c = -7
3) ( x + 9 ) * ( x + 2 ) = x² + 2x + 9x + 18 ⇒ x² + 11x + 18
In x² + 11x + 18 a = 1 b = 11 c = 18
4) ( x - 5 ) * ( x - 3 ) = x² - 3x - 5x + 15 ⇒ x² - 8x + 15
In x² - 8x + 15 a = 1 b = -8 c = 15
5) ( x + 15 ) * 2 * ( x - 1 ) ⇒ ( x + 15 ) * ( 2x - 2 ) ⇒ 2x² -2x + 30x - 30
2x² + 28x - 30 a = 2 ² b = 28 c = 30
6) ( x - 5 ) * ( 4x - 3 ) ⇒ 4x² - 3x - 20x + 15
In 4x² - 3x - 20x + 15 ⇒ a = 4 b = -20 c = 15
