Answer: y = (-1/2)x + 8.5
Step-by-step explanation:
A line perpendicular would have a slope that is the negative reciprocal of the given equation.
In this case, the slope is 2, so the perpendicular equation's slope would be -1/2.
We plug in (1, 8) to find b, or the y intercept.
8 = (-1/2)(1) + b
b = 8.5
So the equation would be:
y = (-1/2)x + 8.5
Answer:
Option 1.
The solution set is: {n|n is a real number, n≥3}
Step-by-step explanation:
1. You must read carefully the information given in the problem: "One less than twice a number" indicates that you must write a number 
multiplied by 2 and subtract 1 from this term, as following:
2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:
3. Now, you can solve for . Then, you obtain:
4. Then, the solution set is: {n|n is a real number, n≥3}.
5. The correct plot on the number line must show a circle on 3 (You must fill in the circle if the sign is 
or
) with a line from that circle to the right.
5. Therefore, the answer is the first option.
Answer:
b
Step-by-step explanation:
Answers to the entire test:
Step-by-step explanation:
1. C. a<b
2.A. x >_0
3. A. The product between 3 and a number is greater than 9
4. B. The difference of 16 and the product of 5 and a number is no less than 1
5.B. 6(x-4)<_20
Answer:
2:3
Step-by-step explanation:
First, create the ratio by putting the numbers together:
There are 4 red and 6 blue marbles:
4:6
Since both of these are divisible by 2, it can be simplified:
4:6
2:3
So, the ratio of red marbles to blue marbles is 2:3
