Answer:
5x 2 19x 4
9 6x 2 19x 2
factor 5x 2 19x 4
4x 2 19x 5 0
factor 6x 2 19x 7
6x 2 19x 36Factor 5x^2-19x+12. For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is . Tap for more steps... Factor out of . Rewrite as plus. Apply the distributive property. Factor out the greatest common factor from each group. Tap for more steps...
Step-by-step explanation:
Answer:
Cody made a mistake when calculating the slope of the line and this affected every other steps after than.
She divided -3 by 6 instead of -3 by 1/6
Step-by-step explanation:
Given


<em>See attached for steps</em>
Required
Explain Cody's error
<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>
See Proof
Slope (m) is calculated as thus:






This is in contrast to
, calculated by Cody
Solving further to determine the equation.

Where




Collect Like Terms


I get:
24 = 3x-12
add 12 to both sides
36 = 3x
divide each side by 3 and you will get 12
Answer:
see explanation
Step-by-step explanation:
x² + 3x + 7 = 5 ( subtract 5 from both sides )
x² + 3x + 2 = 0 ← in standard form
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x ( zero product rule )
x + 2 = 0 → x = - 2
x + 1 = 0 ⇒ x = - 1
--------------------------------------------------------------
x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )
3x² - 5x - 2 = 0 ← in standard form
(3x + 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - 
x - 2 = 0 ⇒ x = 2
------------------------------------------------------------
(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify
x² + 6x + 9 + 4x = 0
x² + 10x + 9 = 0 ← in standard form
(x + 9)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x + 1 = 0 ⇒ x = - 1
Step-by-step explanation:
compound-interest formula