The least-square regression line has a slope of:
m=(nΣxy-ΣyΣx)/(nΣx²-ΣxΣx)
and a y-intercept of:
b=(Σy-mΣx)/n
In this case: n=7, Σxy=4899, Σy=391, Σx=85, Σx²=1153 so
m=(7(4899)-391*85)/(7(1153)-85*85))=1058/846
b=(391*846-85*1058)/(7*846)=34408/846
So the line of best fit is:
y=(1058x+34408)/846 and if we approximated this as your answers see to have done....
y=1.25x+40.67
Answer:
90
Step-by-step explanation:
1/5x+4=1/3x-8
add 8 to both sides and subtract 1/5x from both sides
4+8=1/3x-1/5x
12=5/15x-3/15x
12=2/15x
divide both sides by 2/15
12÷2/15=x
when dividing by a fraction, invert and multiply
12*15/2=x
90=x
CHECK:
1/5(90)+4=1/3(90)-8
18+4=30-8
22=22
Let f(x) = x² + 6x²-x+ 5 then ,
number to be added be P
then,
f(x) = x² + 6x²-x+ 5 +P
According to the qn,
(x+3) is exactly divisible by zero then,
R=0
comparing .. we get a= -3
now by remainder theorm
R=f(a)
0=f(-3)
0=(-3)² + 6(-3)²-(-3)+ 5 + P
0= 9 + 54 + 3 + 5 + P
-71=P
therefore, -71 should be added.
Hope you understand
Can u state the problem it is very blurry thx
Answer:
Step-by-step explanation:
a² - b² = (a +b)(a - b)
9x² - 4 = (3x)² - 2²
= (3x + 2 )(3x - 2)
