Answer:
-3
Step-by-step explanation:
y=4x-3
This is in the form
y= mx +b
where m is the slope and b is the y intercept
4 is the slope and -3 is the y intercept
By the remainder theorem, the remainder upon dividing a polynomial
by a linear binomial
is equal to
. Via synthetic division, we get
1 | 4 -5 6
. | 4 -1
- - - - - - - - - - -
. | 4 -1 5
which translates to
or
Indeed, when
, the first term on the right hand side vanished and we're left with 5.
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule
We need to rearrange the rule to solve for x, our missing angle
solving for our unknown angle:
Therefore angle YXZ is 70.52 degrees
Answer: The weight of the box is 0.2 pounds and the weight of the chocolates before any chocolates were taken out is 2 pounds
Step-by-step explanation:
Let x represent the weight of the box only.
The weight of the box of chocolates is 2.2 pounds. It means that the weight of the chocolate only is
(2.2 - x) pounds
After taking out 75% of the chocolates, the remaining chocolates and the box weigh 0.7 pounds. It means that
2.2 - 0.75(2.2 - x) = 0.7
2.2 - 1.65 + 0.75x = 0.7
0.75x = 0.7 + 1.65 - 2.2
0.75x = 0.15
x = 0.15/0.75
x = 0.2 pounds
The weight of the chocolates before any chocolates were taken out is
2.2 - x = 2.2 - 0.2 = 2 pounds
