Equation: 4x + 7 = 3(2x - 5)
Step-by-step solution:
• Expand brackets
-> 4x + 7 = 6x - 15
• Move x variable to a side and the numbers to another
-> 4x - 6x = -15 - 7
• Solve
-> -2x = -22
• Multiply both sides by (-1)
-> -(-2x) = -(-22)
-> 2x = 22
• Divide both sides by 2
-> x = 22/2
-> x = 11
• Justification
-> Put x = 11 in original equation
-> 4(11) + 7 = 3( 2(11) - 5)
-> 44 + 7 = 3(22 - 5)
-> 51 = 3(17)
-> 51 = 51
-> 51 - 51 = 0
-> 0 = 0
Since both sides are equal to each other, the answer to the equation is correct.
I don't know Sam's equation so I'm not gonna answer that.
Answer:
cos R = .38
Step-by-step explanation:
First you need to find the length of the hypotenuse.
Use a squared + b squared = c squared
100 + 576 = c squared
square root of 676 is 26
CosR is adjacent over hypotenuse.
Adjacent is 10
Hypotenuse is 26
10/26 = .38
Answer:
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Step-by-step explanation:
We are given the following in the question:
"Wood and colleagues (2009) examined the value of self-affirmation. In a typical study, participants either engaged or did not engage in self-affirmations. Later, their current self-esteem was assessed."
Independent and Dependent Variable:
- Dependent variable is the variable whose value depends on the independent variable.
- Independent variable is the free variable.
For the given scenario, self esteem is assessed based on the fact that participants either engaged or did not engage in self-affirmations.
Thus, the dependent variable is self esteem and the independent variable is engagement in self affirmation.
Thus, the correct answer is
Option A) independent variable – self-affirmations; dependent variable – self-esteem scores
Answer:
a₁ = 1
r = 3
Step-by-step explanation:
Since it’s a geometric series then
a₁ = 1 ( because 1 is the first term of the series)
3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.
Step-by-step explanation:
