Answer:
No solution
Step-by-step explanation:
If we substitute the y into the equation, we get 9x+3(-3x+4)=-7
If we distribute the 3, we get 9x-9x+12=-7
This then cancels out both 9x's and we are left with 12=-7, making it no solution.
Answer:
Step-by-step explanation:
<h3>Polynomial:</h3>
p(x) = ax³ + bx + x
Let g(x) = x² + kx + 1 .
g(x) is a factor of p(x). So, p(x) is divided by g(x), the remainder will be 0.
Divide p(x) by g(x) using long division method. {attached as an image}.
By doing long division, we get the remainder.
Remainder = bx - ax + k²ax + ka + c
= (b - a + k²a)x+ [ka + c]
Remainder = 0
b - a + k²a = 0 and ka + c = 0
ka + c = 0
ka = -c
k = -c/a ----------------(I)
b - a + k²a = 0
ab = a² - c²
Hence, proved.
Answer: -2u + 15v
Step-by-step explanation:
Hey there!
<em>Step 1: Expand by distributing terms.</em>
4u - (6u - 15v)
<em>Step 2: Remove parentheses.</em>
4u - 6u + 15v
<em>Step 3: Collect like terms.</em>
(4u - 6v) + 15v
<em>Step 4: Simplify.</em>
-2u + 15v
~I hope I helped you! :)~
Answer: The mean of this distribution = 61.95
The standard deviation of this sampling distribution (i.e., the standard error= 0.048
Step-by-step explanation:
Given : Data from the U.S. Department of Education indicates that 59% of business graduate students from private universities had student loans.
i.e. proportion of business graduate students from private universities had student loans : p=0.59
sample size : n=105
Then , the mean of the distribution is given by :-
∴The mean of this distribution = 61.95
Then standard deviation of this sampling distribution is given by :-
∴The standard deviation of this sampling distribution (i.e., the standard error= 0.048