Answer:
15, 17, 19
Step-by-step explanation:
Three consecutive odd integers can be represented by
x, x + 2, x + 4. You add 2 to each one to get the next one. Fun fact: you would do the same thing if the problem said the integers were even!
The largest integer is x + 4, so the sentence in the problem translates to an equation (sum means to add the integers together):
x + (x + 2) + (x + 4) = 2(x + 4) + 13
Distribute the 2, then combine like terms.
x + (x + 2) + (x + 4) = 2x + 8 + 13
3x + 6 = 2x + 21
Subtract 2x.
x + 6 = 21
Subtract 6.
x = 15
The integers requested are 15, 17, 19.
Check: Their sum is 51, which is 13 more than twice 19.
Answer: Let's simplify step-by-step.
3x−2
There are no like terms.
So it going to be the same, =3x-2
Step-by-step explanation: hope you understand
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
The initial value is 21 and rate of change is 16 pages per week
<em><u>Solution:</u></em>
Given that After writing part of his novel, Thomas is now writing 16 pages per week
After 4 weeks, he has written 85 pages.
Given that assume the relationship to be linear
Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c
y = mx + c
where "y" is the number of pages written after 4 weeks
x = 4 weeks and m = 16 pages
Therefore,
85 = 16(4) + c
85 = 64 + c
c = 85 - 64
c = 21
Therefore, initial value is 21 and rate of change is 16 pages per week
C is the right answer because the period should be pi/(1/3), so the answer is 3pi
