***(2x²+6x-8):(x+5)=2x-4
-2x²-10x
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
-4x-8
4x+20
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
12 ⇒ A. statement is true.
***When x=-5⇒2*(-5)²+6*(-5)-8=12⇒B. statement is true.
***2x²+6x-8 can also be written as (x+5)*(2x-4)+12 so (x+5) is a factor of 2x²+6x-8⇒C. statement is true.
***When x=5⇒2*5²+6*5-8=72 is not 12⇒D. statement is not true
***(2x²+6x-8):(x+5)=2x+16
-2x²+10x
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
16x-8
-16x+80
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
72⇒F. statement is not true
***E. statement is not true.
Answer:
Step-by-step explanation:
Given
Shape: Rectangle
Required
Determine the area of the rectangle;
Area is calculated as thus;
Substitute values for Length and Width
<em>Hence, the area of the rectangle is </em>
<em />
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above and solve for t
Simplify
apply ln both sides
Remember that
Answer:
A.
Amir's equation : 5.50 p + 55.99 =200
Edward's equation : 5.50 p+ 55.99 ≤ 200
B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.
Step-by-step explanation:
The budget is $200
The party room charges $55.99
The charge per person is $5.50
Letting p =number of people that can attend the party, then
A.
Equation for cost that Amir use is;
$5.50*p + $55.99 = $200
5.50 p + 55.99 =200
5.50 p = 200-55.99
5.50 p =144.01
p= 144.01/5.50 = 26 -------Amir's equation will also give the number of people that can attend the party with the budget of $200
For Edward's case
$5.50 p +$55.99 ≤ $200
5.50 p+ 55.99 ≤ 200
5.50 p ≤ 200-55.99
5.50 p ≤ 144.01
p ≤ 144.01/5.50
p ≤ 26
Edward's inequality suggests that for the budget of $200 , 26 or less people can attend the party.
B. Amir's equation presents the situation best because it gives the cost of the part as per the budget. Edward's equation gives room for lesser amounts to be used in case p< 26.
