Answer:
x=4 x=-1
Step-by-step explanation:
x^2-3x-4=0
x^2-4x+x-4=0
x(x-4) + 1(x-4)=0
x+1=0
x=-1
x-4=0
x=4
Answer:
About 87$
Step-by-step explanation:
Yu take both salary amounts an divide by 52 since there are 52 weeks in a year and then find the difference between them
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
Answer:
54
Step-by-step explanation:
I'm assuming the equation looks like this: 15x - 6
15*4 - 6
60 - 6
54
OR if it's just x-6 then the answer is -2
Hope this is what you were asking, have a nice day! :)
Answer:
Slope <em>m</em> (Gradient) = 3
y-intercept: (0, -5)
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3x - 5
<u>Step 2: Break function</u>
Slope <em>m</em> = 3
y-intercept <em>b</em> = -5
