Answer:
The number is 4
Step-by-step explanation:
<u>Choose a variable for the number.</u>
let the number be "x"
<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).
"When 8 is added to" 8 +
"3 times a certain number" 3x
"the result is the same as" =
"adding 12 to" 12 +
"twice the number" 2x
Put the equation back together with each of the parts.
8 + 3x = 12 + 2x
<u>Now isolate "x"</u> to the left side to find the number.
8 + 3x - 2x = 12 + 2x - 2x Subtract 2x from both sides
8 + x = 12 "x" is only on the left side
8 - 8 + x = 12 - 8 Subtract 8 from both sides
x = 4 Solved for the number
Therefore the number is 4.
Answer:
a=15
Step-by-step explanation:
I think the correct answer from the choices listed above is option C. The rem preimage does not describe polygon A'B'C'D'. The preimage is t<span>he original figure prior to a transformation. In the example below, the transformation is a rotation and a dilation. Hope this answers the question.</span>
Answer:
- 10b² + 12b - 16
Step-by-step explanation:
b² + 8b - 9 - (11b² - 4b + 7) ← distribute by - 1
= b² + 8b - 9 - 11b² + 4b - 7 ← collect like terms
= (b² - 11b²) + (8b + 4b) + (- 9 - 7)
= - 10b² + 12b - 16
Answer:
The option 'b' is true.
Step-by-step explanation:
Given the expression

A function g is the inverse of the function f if for y=f(x), x=g(y)

Replace x with y

solve for y

Thus,

Therefore, option b is true.