Answer:
Step-by-step explanation:
Point slope form: y−7=34(x−3)
Slope intercept form: y=34x+194..or..y=34x+434
Explanation:
Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.
Point slope formula
y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.
Substitute the given values into the formula.
Answer:
n+4=32
Step-by-step explanation:
The initial number n gets additional 4 students making the new total number of students to be 32. Therefore, this situation can be represented as
n+4=32
To get the actual number of students before the additio, we make n the subject of formula hence
n=32-4
n=28
Therefore, the initial number was 28 and the equation is n+4=32
Since no choices were provided, the equation that can be modified is n+4=32
Answer:
18 Skittles
6 M&Ms
Step-by-step explanation:
Set up an equation:
Variable x = number of skittles
Variable y = number of M&Ms
1.50x + 2y = 39
x + y = 24
In the second equation, isolate a variable:
x = 24 - y
Substitute the value of x for 24 - y in the first equation:
1.50(24 - y) + 2y = 39
Use distributive property
36 - 1.5y + 2y = 39
Combine like terms
36 + 0.5y = 39
Isolate variable y:
0.5y = 3
y = 6
Substitute the value of y for 6 in the second equation:
x + 6 = 24
Isolate variable x:
x = 18
Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):
1.50(18) + 2(6) = 39
27 + 12 = 39
39 = 39
Correct
x + y = 24
18 + 6 = 24
24 = 24
Correct
Answer:
option B
Step-by-step explanation:
Answer:
x ≈ 0.34657359
Step-by-step explanation: