Answer:
The given multiplied expression is
Step-by-step explanation:
Given expression is 
To find the multiplication of the given expression :
By using the distributive property to solve the given expression as below
( by using the property 
)
Adding the like terms in the above expression we get
Therefore
Therefore the given multiplied expression is
Answer:
Step-by-step explanation:
Subtract 2 from both sides:
Subtract 5x from both sides:
Divide both sides by 2:
Answer:
t > -7
Step-by-step explanation:
To solve for t, first add 5 to both sides:
-2t - 5 < 9
-2t < 14
Divide each side by -2, and flip the inequality because we are dividing by a negative number:
-2t < 14
t > -7
So, the solution is t > -7
4x² - 12x = 7
- 7 - 7
4x² - 12x - 7 = 0
4x² + 2x - 14x - 7 = 0
2x(2x) + 2x(1) - 7(2x) - 7(1) = 0
2x(2x + 1) - 7(2x + 1) = 0
(2x - 7)(2x + 1) = 0
2x - 7 = 0 or 2x + 1 = 0
+ 7 + 7 - 1 - 1
2x = 7 2x = -1
2 2 2 2
x = 3¹/₂ or x = ⁻¹/₂
When x = 1:
1³ + 1 - 3 = -1
When x = 2:
2³ + 2 - 3 = 7
Since f(x) = x³ + x - 3 is continuous, it follows from the intermediate value theorem that for some c in the interval (1, 2), we have f(c) = 0, since f(1) < 0 < f(2).
