Consider the expression 6 + 6–√
(1 point)
6 is
, 6–√ is
so, 6 + 6–√ is
6 is a constant value.
6–√ is the square root of 6.
So, 6 + 6–√ is 6 plus the square root of 6.
Which sum or difference is equivalent to the following expression? 12x − 84
(1 point)
Responses
3x - 2
3x - 2
3x - 8
3x - 8
8x - 4
8x - 4
12x - 2
12x - 2
Question 11
The expression 12x - 84 can be simplified as 12x - 2*2*3*7.
Factoring out a 2 from both terms, we get 2(6x - 42).
We can further simplify this by factoring out a 6 from both terms inside the parentheses, resulting in 2*6(x - 7).
This gives us the simplified form of the expression as 12(x - 7).
Therefore, the equivalent sum or difference is 12x - 7*12, which can also be written as 12x - 84.
Therefore, the correct answer is 12x - 84.
Alvin weighed 180 pounds at the beginning of the semester. After eating healthy foods and exercising regularly for six weeks, he lost 2 pounds per week. Which expression would he use to represent his current weight at any time after x amount of weeks if he continues to lose 2 pounds per week?
(1 point)
Responses
180 + 2x
180 + 2x
180x - 2
180x - 2
180 - 2x
180 - 2x
180x + 2
If Alvin loses 2 pounds per week, his weight after x amount of weeks can be represented by the expression 180 - 2x.
Explanation:
- Alvin's initial weight is 180 pounds.
- For every week, he loses 2 pounds. So for x weeks, he would lose 2x pounds.
- To find his current weight, we subtract 2x from his initial weight of 180.
- Therefore, the expression that represents his current weight after x amount of weeks is 180 - 2x.
What is the simplified form of the expression? 164−−√
(1 point)
Responses
1128
1 over 128
18
1 eighth
± 8
± 8
14096
The simplified form of the expression √164 is approximately ± 12.806.
None of the given answer choices match this result, so none of the provided options are correct.
Evaluate the following expression for the values given.
ad + c2b a =10 b = 6 c =3 d = 5
(1 point)
Responses
59
59
66
66
56
56
84
To evaluate the expression ad + c^2b using the given values a = 10, b = 6, c = 3, and d = 5:
ad = 10 * 5 = 50
c^2b = (3^2) * 6 = 9 * 6 = 54
Therefore, ad + c^2b = 50 + 54 = 104.
The correct answer is 104.
To evaluate the expression 6 + 6-√, we need to follow a specific order of operations called PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's break it down step-by-step:
1. First, the expression has no parentheses or exponents, so we move to the next step.
2. Next, we look for any multiplication or division. Since there is none, we move to the next step.
3. Then, we look for any addition or subtraction. In this case, we have 6 + 6. Adding these two numbers gives us 12.
4. Finally, we look at the remaining operation, which is the subtraction of the square root of a number. However, the expression you provided, 6 – √, is missing a number after the square root symbol (√). Consequently, it is not possible to evaluate the expression further without knowing the value to take the square root of.
In summary, the expression 6 + 6-√ simplifies to 12, but it cannot be fully evaluated without a complete expression after the square root symbol (√).