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:
15.22
Step-by-step explanation:
The equation of the circumference of a circle is 2(pi)r
This is actually because 2pi is angle of the arc that makes up the full circle (radians of course)
so a simple formula is:
arc length in radians X radius
radius = 4 cm
the area that the question wants is the oposite
of the 142 degree section so 360 - 142 = 218
218 degrees * (pi/180) = 3.80482 rad
3.80482 * 4 = 15.21928 cm
Answer:
3.75 + 0.15n ≤ 5.25
Step-by-step explanation:
You can not spend more than $5.25 so the inequality sign must be less than or equal to
If you know the shop charges a minimum of $3.75 for a sandwich, you need to include that in your equation
The $0.15 for additional toppings is included as $0.15 multiplied by n (0.15n)
n can be from 0-10, as 10 is the most toppings you can get before you go over your spending limit and you don't have to pay for additional toppings if you don't want to.
