1. its 23, because if you were to substitute 5 for x, 7(5) = 35 and if you were to substitute -3 for y, 4(-3) = -12. Therefore, 35 + -12 = 23.
Answer:
Yes, is a solution of .
Step-by-step explanation:
Given
To prove that is a solution of the given expression
Take Right hand side :
Substitute the value of
Now , we get
-(n-1)+2+2{-(n-2)+2}+2n-9
=-n+1+2+2(-n+4)+2n-9 ( simplified)
=-n-6+8-2n+2n ( simplified )
=
Hence, LHS=RHS
Therefore, is a solution of given expression
Yes, is a solution of given expression.
Answer: 188 is the outlier
Step-by-step explanation:
Find median of the whole data set. The median is 83.5.
Then find Q1 and Q3. Q1 is 78, Q2 is 96.
Then find the IQR. The IQR is 18.
Find the inner fences of the data set. The inner fences are 51 and 123. Anything that is outside of 51 or 123 is an outlier so 188 is an outlier.
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }
Answer:b=4
Step-by-step explanation: