Answer: a because it’s using the commutative property of addition meaning it’s the same mathematical statement, it’s just moved around
Step-by-step explanation:
10
sum is add
cube is to the 3rd powr
19+x³
11.
product means multiply
3 times y is no more than (equal to or less than ) 21
3y≤21
no need to solve
12. 2 times difference is 10
difference is subtract
2(z-12)=10
Answer:
Option A is correct.
Step-by-step explanation:
Correlation coefficients tell us how strongly the two variables are associated.
A positive correlation is a relation when both the variables move together in the same direction. Like if value of first increases the other also increases.
When the correlation coefficient is greater than 0, this means that both variables are correlated.
So, the answer here will be :
A. There is a linear relationship between the variables, and whenever the value of one variable increases, the value of the other variable increases.
Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
First step to factor the trinomial, multiply the constant -28 with the leading coefficient 6.
So, -28 * 6 = - 168.
Next step is to breakdown -168 into two multiples so that their addition will result the coefficient of w= - 13.
So, -168 = -21 * 8.
And addition of - 21 and 8 will give - 13.
So, next step is to replace -13x with -21x + 8. Therefore,
6x² - 21x + 8x - 28 =0
(6x² - 21x) + (8x - 28 )=0 Make the group of two terms.
3x (2x - 7) + 4 (2x - 7) = 0 Take out the common factor from each group.
(2x - 7)(3x + 4) = 0 Again take out the common factor (2x -7).
So, 2x - 7 =0, 3x + 4 = 0 Set both the factor equal to 0.
2x = 7 , 3x = -4
So, 
Hope this helps you !
