Let p (x) = 4x^4-13x^2-2x
The zero of x-2 is 2
putting x = 2 in p (x), we get,
p (2) = 4×2^4-13×2^2-2×2
= 64 - 52 - 4
= 64 - 56
= 8
Therefore, remainder = 8
Answer:
x=4.5.
The slope is undefined. Thus the y variable is irrelevant. It appears as though the line crosses through 4.5 on the x axis making the equation
x = 4.5
Answer:
y= -2x
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is -2, m= -2.
subst. m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a coordinate.
When x= -4, y=8,
8= -2(-4) +c
8= 8 +c (expand)
c= 8-8 (-8 on both sides)
c=0 (simplify)
Thus, the equation of the line is y= -2x.
Answer:
7. 25% of the merchants who purchase goods from Asia also purchase from Europe.
Step-by-step explanation:
I am going to say that:
A is the percentage of merchants who purchase goods from Asia.
B is the percentage of merchants who purchase goods from Europe.
We have that:

In which a is the probability that a merchant purchases goods from Asia but not from Europe and
is the probability that a merchant purchases goods from both Asia and Europe.
By the same logic, we have that:

Which of following statement is individually sufficient to calculate what percent of the merchants in the group purchase goods from Europe but not form Asia?
We already have B.
Knowing
, that is, the percentage of those who purchase from both Asia and Europe, we can find b.
So the correct answer is:
7. 25% of the merchants who purchase goods from Asia also purchase from Europe.
ΔACD and ΔASR are the same so we can write a ratio:
x/4 = 10/5
x/4 = 2
x/4 * 4 = 2 * 4
x = 8
Since AS is equal to x, they are both the same.
Therefore, the answer is [ x = 8, AS = 8 ]
Best of Luck!