Answer:
y =3x - 5
Step-by-step explanation:
Well one of the way to do this question is the formula given below your question, but for me, i rather do it this way
OK they gave u y=3x - 12
And they say another line is parallel, once u see the word parallel means they have the same angle, same slope, same gradient ( sorry if I give u the wrong terms, since I learn mine in Malay)
So first u got to understand the slope-intercept form
y = mx + c
y is your y coordinate
x is your x coordinate
m is your gradient ( as in how much the line slants)
c is the y - intercept, as in, if u draw a graph, the y-coordinate where your line touches the y-axis (the vertical line)
So since the say the both lines are parallel, so both of their "m" is the same that is 3. Why? Cuz just compare
y = mx + c
y = 3x - 12
Therefore the m is 3
Therefore u alredy got your first value, so put it in your slope intercept form
y = mx + c
y = 3x + c
Now how to find c? Very easy, just put in the value of y and x from the coordinate ( that the line youre finding is on) they gave u, just put the value in
They gave u
(1, - 2)
So when x = 1, y = - 2
Therefore put it in
y = 3x + c
-2 = 3 (1) + c
c = - 5
Since now u have your m and c value, your slope intercept form is done, just put it in
y = mx + c
y = 3x + (-5)
y = 3x -5
Answer:
$12
Step-by-step explanation:
assuming that the cost of delivery is constant irrespective of the number ordered
Let the cost of sandwich be x
First office
$33=4x+c where c is the cost of delivery
Second office
$61=8x+c
These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain
4x=28
Therefore, x=28/4=7
The cost of delivery is 33-(4*7)=33-28=5
Therefore, one sandwich plus delivery costs 7+5=$12
Answer
Step-by-step explanation: example
5/(X+2). + 2/(X+1)
Common denominator. Is both (X+2)(X+1)
So the first fraction needs (X+1) since it already has (X+2) the second fraction needs ( X+2)
5(X+1). / (X+2)((X+1) +. 2/(X+2)/(X+1)
So multiply 5 with X then 5 with 1 and 2 times X and 2 times 2
5x+5 + 2x+4 / (X+2)((X+1)
Answer 7x+9/ (X+2)(X+1)
Answer: infinitely many solutions
Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30
1. align equations x + 2y = 10
3x + 6y = 30
2. multiply first equation by -3 to get -3x - 6y = -30
3. align equations -3x - 6y = -30
3x + 6y = 30
4. add the equations and you they cancel out, which means infinitely many solutions

<h2>
Explanation:</h2>
In this exercise, we have the following functions:

And they are defined for all real numbers x. So we have to write the following expressions:
First expression:

That is, we subtract s(x) from r(x):

Second expression:

That is, we get the product of s(x) and r(x):

Third expression:
Here we need to evaluate:

First of all, we find the sum of functions r(x) and s(x):

Finally, substituting x = -2:

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Parabola: brainly.com/question/12178203
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