Answer:
x = 3 & x =- 2
Step-by-step explanation:
|4x - 2| = 10
separate this into 2 equations a positive and a negative
4x-2 =10 and 4x-2 = -10
add 2 to each side
4x-2+2 =10+2 4x-2 +2 = -10 +2
4x =12 4x = -8
divide by 4
4x/4 = 12/4 4x/4 = -8/4
x =3 x=-2
Problem 1
Do you know what a complex number is? If you do not, you can get an answer but not one you will like much.
(3x)^2 + 27 = 0 remove the brackets. Remember to square what's inside the brackets.
9x^2 + 27 = 0 Divide both terms by 9
9x^2/9 + 27/9 = 0
x^2 + 3 = 0 Subtract 3 from both sides.
x^2 = -3 Take the square root from both sides.
x = sqrt(-3) but the square root of - 3 = 3i
x = i*sqrt(3)
Problem 2
x^ - 8x + 1 = 0
a = 1
b = - 8
c = 1
x = [- -8 +/- sqrt(b^2 - 4*a*c) ]/(2*a) Quadratic formula
x = [ 8 +/- sqrt( (-8)^2 - 4(1*1)]/2 Substitute Givens and combine
x = [ 8 +/- sqrt( 64 - 4 )] /2 Subtract 4
x = [ 8 +/- sqrt (60)]/2 Break 60 into 4 * 15
x = [ 8 +/- sqrt (4*15)]/2 Notice 4 is a perfect square. sqrt4 = 2
x = [ 8 +/- 2*sqrt(15)] / 2 Divide through by 2
x = 8/2 +/- sqrt (15)
x = 4 +/- sqrt(15) the twos were gone
Given:
value of the test statistic is t20 = 1.95
corresponding p-value of 0.0653 at the 5% significance level
No, I can't conclude that the correlation coefficient differs from zero because the p-value, which is 0.0653 exceeds 0.05.
The correlation coefficient differs from zero when the p-value is less than 0.05.
A^2 + b^2 = c^2
the sides are 11, 13, and 25
11^2+13^2=290
25^2 = 625
11^2+13^2<25^2
So, this is an obtuse triangle
Answer:
Step-by-step explanation:
x² + 3 = (-9)² + 3 { (-9)² = -9 *-9 = 81}
= 81 + 3
= 84
x + 6 = -9 + 6 = -3
