Answer:
option B, option D
Step-by-step explanation:
- the bar graph better shows the number of students that like each sport.
- the circle graph better shows proportion of each responses to total responses in percentage form.
<span>3(x + 1) = −2(x − 1) + 6
3x + 3 = -2x + 2 + 6
5x = 5
x = 1
answer
x = 1</span>
The expression 5x+3 would be three more than five times a number! More than in this case would be addition - so if you get the same problem with subtraction you just change more to less!
Basically what it's tell you is that if x stood for 2 in this case 5*2 = 10 since it's 3 MORE than 5 times a number (x is in place of a number), you're adding 3 to 10 and that gives you 13!
I hope I simplified it a little more and you understand!
Good luck, rockstar! c: I hope this helped!
Step-by-step explanation:
Given
c² = a² + b²
Making a² subject then
a² = c² - b²
Hope it will help :)
If you are already given the general solution, finding the particular solution means to impose some conditions in order to fix the coefficients of the general solution.
The first thing we need to impose is that the function must output -1 when the input is zero. So, if we plug zero as input we have
But we want 
, which implies 
So, we fixed the first coefficient. To fix the second one, we can use the second piece of information (and of course the already-found value for 
).
We want the first derivative to output 3 when the input is zero. So, first of all, let's compute the first derivative, and evaluate it in zero:
And as before, since 
and we want 
, we deduce 
.
So, once we fix both coefficients, the general solution becomes
