Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula: 
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:
Simplify:
18 - 14 = 4
1 - 0 = 1
The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14
Answer: D
Step-by-step explanation:
Using the equation plot in the coordinates of the points to see if they fit the equation.
5x-3y < 30
A) 5(-3) -3(5) < 30
-15 -15 < 30
-30 < 30 This is true
B) 5(0) -3(0) < 30
0 - 0 < 30
0< 30 This is true
C) 5(-5) - 3(3) < 30
-25 - 9 < 30
-34 < 30 This is also true
D) 5(3) - 3(-5) < 30
15 + 15 < 30
30 < 30 This is not true because 30 is not greater that 30
Answer:
x= 2
Step-by-step explanation:
5*2= 10 then add the x at the end
5*4=20
then you divide both sides by 10
(10x/10)- (20/10)
x= 2
or if your rewriting it then:
(5*2x)- (5*4)=?
Hope this helped :D
Answer:
For 3x^2+4x+4=0
Discriminant= = -32
The solutions are
(-b+√x)/2a= (-2+2√-2)/3
(-b-√x)/2a= (-2-2√-2)/3
For 3x^2+2x+4=0
Discriminant= -44
The solutions
(-b+√x)/2a= (-1+√-11)/3
(-b-√x)/2a= (-1-√-11)/3
For 9x^2-6x+2=0
Discriminant= -36
The solutions
(-b+√x)/2a= (1+√-1)/3
(-b-√x)/2a= (1-√-1)/3
Step-by-step explanation:
Formula for the discriminant = b²-4ac
let the discriminant be = x for the equations
The solution of the equations
= (-b+√x)/2a and = (-b-√x)/2a
For 3x^2+4x+4=0
Discriminant= 4²-4(3)(4)
Discriminant= 16-48
Discriminant= = -32
The solutions
(-b+√x)/2a =( -4+√-32)/6
(-b+√x)/2a= (-4 +4√-2)/6
(-b+√x)/2a= (-2+2√-2)/3
(-b-√x)/2a =( -4-√-32)/6
(-b-√x)/2a= (-4 -4√-2)/6
(-b-√x)/2a= (-2-2√-2)/3
For 3x^2+2x+4=0
Discriminant= 2²-4(3)(4)
Discriminant= 4-48
Discriminant= -44
The solutions
(-b+√x)/2a =( -2+√-44)/6
(-b+√x)/2a= (-2 +2√-11)/6
(-b+√x)/2a= (-1+√-11)/3
(-b-√x)/2a =( -2-√-44)/6
(-b-√x)/2a= (-2 -2√-11)/6
(-b-√x)/2a= (-1-√-11)/3
For 9x^2-6x+2=0
Discriminant= (-6)²-4(9)(2)
Discriminant= 36 -72
Discriminant= -36
The solutions
(-b+√x)/2a =( 6+√-36)/18
(-b+√x)/2a= (6 +6√-1)/18
(-b+√x)/2a= (1+√-1)/3
(-b-√x)/2a =( 6-√-36)/18
(-b-√x)/2a= (6 -6√-1)/18
(-b-√x)/2a= (1-√-1)/3
Y=-13/2x+43/2 I hope this helped :3
