(x - d) + x + (x + d) = 12 --> Create an equation using the first piece of information - "Three consecutive terms... have a sum of 12"
x - d + x + x + d = 12 --> Simplify the left side of this equation (d cancels out)
3x = 12 --> Divide both sides by 3
<u>x = 4
</u>
Use the value of x (x = 4) to find the value of d. To do this, set up another equation using the second piece of information.
(x - d) * (x + d) * x = - 80 --> "Three consecutive terms... have... a product of -80". Then, substitute the value of x (4) into this equation.
(4 - d) * (4 + d) * 4 = - 80 --> Multiply out the sets of brackets, the * 4 is dealt with afterwards
4(16 - 4d + 4d - d²) = - 80 --> Simplify the expression inside the brackets
4(16 - d²) = - 80 --> Multiply out these brackets by the 4
64 - 4d² = - 80 --> Subtract 64 from both sides
- 4d² = - 144 --> Divide both sides by - 4
d² = 36 --> Square root both sides
<u>d = 6
</u>Now, find the values of the terms of the sequence by using substituting the values of x and d into the expressions given.
<u>
</u><u />1. x - d = 4 - 6 = <u>- 2
</u><u></u>2.<u> x = 4</u>
3. x + d = 4 + 6 = <u>10
</u>
The three terms are - 2, 4, 10.
<u>
</u>
Answer:
-1
Step-by-step explanation:
To find the slope given two points use the formula
m = ( y2-y1)/(x2-x1)
= ( 8-2)/(4-10)
= 6/-6
= -1
Answer:
Step-by-step explanation:
Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;
Sep 1:
Add 5 to both using addition property to move 5 to both sides
4x+2+5= 8x-5+5
4x+7 = 8x
Step 2:
Collect like terms
4x-8x = -7
-4x = -7
Step3:
Divide both sides by -4
-4x-4 = -7/-4
x = 7/4
Answer: either A is 0 and B is 1, or B is 0 and A is 1. Sorry i can't help more than that.
Step-by-step explanation:
Answer:
B) shifts the line 4 units down
Step-by-step explanation:
The point (x, f(x)) is moved to the point (x, f(x)-4), one with a y-coordinate 4 units lower. The line is shifted down 4 units.
