Three consecutive numbers can be written as x, x+1, and x+2, but they also can be written x, x-1, and x-2 where x is the biggest number.
sum means adding... so
combine like terms and solve for x!
Supposing the line graphed is y = 2x + 3, the equation of the different line is:
y = 4x + 3.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the equation is:
y = 2x + 3
Hence, the slope is 2 and the y-intercept is 3. For the new line, we want to:
- Double the slope, hence m = 4.
- Keep the same y-intercept, hence b = 3.
Then, the equation of the different line is:
y = 4x + 3.
You can learn more about the equation of a line at brainly.com/question/24685547
Answer:
between 7 and 8
Step-by-step explanation:
Consider perfect squares either side of 60, that is
49 < 60 < 64, then
< 
< 
, that is
7 < < 8
Answer:PTR/100
=990×2.7×1/100
=$24.3~$24
Step-by-step explanation:
Answer:
8) No solution
9) n > -5 <em>(View explanation for info on how to graph)</em>
Step-by-step explanation:
<em><u>Question 8</u></em>
<em><u /></em>
<u>24+6k < -6(-4-k)</u> - Solve and graph
1) Distribute -6 to -4 and -k:
24+6k < 24+6k
2) Subtract 6k from both sides:
24<24
^ We know the following is false, therefore there is no solution to question 8.
<em><u>Question 9</u></em>
<em><u /></em>
<u>-2n-40 < 5(6+n)+7n</u> - Solve and graph
1) Distribute 5 to 6 and n:
-2n-40 < 30+5n+7n
2) Combine alike terms:
-2n-40 < 30+12n
3) Add 2n to both sides:
-40 < 30+14n
4) Subtract 30 from both sides:
-70 < 14n
5) Divide both sides by 14:
n > -5
6) To graph, plot an OPEN CIRCLE (<em>don't fill in the circle)</em> at point -5 and then draw an arrow pointing to the right!
Let me know if you need any help with the others :)
