Answer:
2x + 6 = -18
x + 1 = -11
3x = -36
Step-by-step explanation:
First find the solution! Then you can create your own equations
2x+9=-15
2x=-24
x=-12
Thus u need solutions with:
x = -12
Knowing the equation of a line as:
y = mx + b
we can can start by making y = -12 (our solution)
mx + b = -12
Now we can pick a value for m and b by adding and miltiplying on both sides
We do this to keep both sides equal.
if we make m = 2 and b = 3:
2x + mb = -12*m + 2b
2x + 6 = -24 + 6
2x + 6 = -18
Solving this we also get x = -12, as we expect.
An alternative way to think about it is to imagine that we start with a simple equation and make it more complex. We have our solution:
x = -12 => lets add a b value!
x + b = -12 + b => Lets add a slope (m)
xm + bm = -12m + bm
Giving values for this can give you multiple equation of the same solution.
General Formula:
m(x+b) = m(y+b)
mx + bm = my + bm
Answer:
45
Step-by-step explanation:
We have the equation 2x² + 6x + 9 and are asked to find the value when x =3.
To solve this, all we need to do is substitute all variables with "x" to 3. Then do the properties :
2x² + 6x + 9
2(3)² + 6(3) + 9
Do exponents first :
2(9) + 6(3) + 9
Now multiply the numbers with parenthesis next to them :
18 + 18 + 9
Add to get the answer :
45
The fifth period class has a greater fraction of students that like to bowl.
Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number. Examples of rational numbers are 1/2, -3/4, 0.3, or 3/10.
Here we have,
In second period, 37.5% students like to bowl
∴, 37.5% = 37.5/100
= 375/1000
= 0.375 students like to bowl in second period
And in fifth period, 12 students out of 29 like to bowl
Therefore, 12/29 = 0.413 students like to bowl in fifth period
Hence, on comparison
0.375 < 0.413
= 375/1000 < 12/29
Thus, fifth period class has a greater fraction of student that like to bowl as compared to second period class.
Learn more about rational numbers by referring to the following link:
brainly.com/question/12088221
#SPJ4
Answer:
(3,9)
Step-by-step explanation: