Answer:
a = – 8
Step-by-step explanation:
From the question:
When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.
To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:
x – 1 = 0
x = 0 + 1
x = 1
Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:
2x³ – ax² + 4x – 4 = 10
x = 1
2(1)³ – a(1)² + 4(1) – 4 = 10
2 – a + 4 – 4 = 10
2 – a = 10
Collect like terms
– a = 10 – 2
– a = 8
Divide through by –1
a = – 8
Therefore, the value of a is –8.
Answer:
$613.04
Step-by-step explanation:
<em>Compound Interest Formula:</em>
n = number of compounds
t = time
r = interest rate
P = principle amount (original amount)
A = final amount
Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.
Plug Values into equation:
Simplify inside parenthesis
Calculate exponent
Multiply values
Round
Answer:
D
Step-by-step explanation:
to be a function you cannot have different y values for the same x, in B for example when x = 3 you have two different values for y (3,7) and (3,8)
D is the only choice where each value of x only has one value for y
Philip and Barbara are 8 meters apart because 5+3=8 so it will make 8 meters
To do this problem, you need to make a system of equations and let statements. Let x = the cost of a rose bush. Let y = the cost of a pot of ivy. 6x+3y =39. 2x+3y=27. Now, subtract the two equations to get 4x=12 (6x-2x,3y-3y,39-27) Now, divide both sides by 4 to get x = 3. Plug 3 in for x to solve y. 39-18=21. 21=3y. Y=7. 27-6=21. 21=3y. Y=7. I hope this helped! Sorry if it’s confusing.
