In order to find the x-intercept, you must plug in 0 for y.
2x - 5(0) = 10
2x = 10
Divide by 2 on both sides.
x = 5
Thus, the x-intercept is (5,0)
Simplifying
37 + 8x = 4(7 + -1x)
37 + 8x = (7 * 4 + -1x * 4)
37 + 8x = (28 + -4x)
Solving
37 + 8x = 28 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
37 + 8x + 4x = 28 + -4x + 4x
Combine like terms: 8x + 4x = 12x
37 + 12x = 28 + -4x + 4x
Combine like terms: -4x + 4x = 0
37 + 12x = 28 + 0
37 + 12x = 28
Add '-37' to each side of the equation.
37 + -37 + 12x = 28 + -37
Combine like terms: 37 + -37 = 0
0 + 12x = 28 + -37
12x = 28 + -37
Combine like terms: 28 + -37 = -9
12x = -9
Divide each side by '12'.
x = -0.75
Simplifying
x = -0.75
Answer:
a) f(x) = 3sin(2x - π/2) + 1
b) f(x) = 2sin(2x + π) + 2
Step-by-step explanation:
∵ f(x) = Asin(Bx - C) + D
Where ΙAΙ is the the amplitude , 2π/ΙBΙ is the period , -C/B is the horizontal shift and D is the vertical shift
a) The amplitude is 3
The period is π
Shift phase: horizontally π/4 to the right , vertically 1 unit up
b) The amplitude is 2
The period is π
Shift phase: horizontally π/2 to the left , vertically 2 unit up
Answer:
y = - 4x + 16
Step-by-step explanation:
Assuming you require the equation of the line passing through the points.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)
m = 
= 
= - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 4), then
4 = - 12 + c ⇒ c = 4 + 12 = 16
y = - 4x + 16 ← equation of line
Answer:
12x³ - 3x
Step-by-step explanation:
<em>Given </em>
<em>f(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>x </em><em>and </em><em>g(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em>
<em>Now</em><em>, </em>
<em>3</em><em> </em><em>f(</em><em>x</em><em>)</em><em> </em><em>*</em><em> </em><em>g(</em><em>x</em><em>)</em><em> </em>
<em>=</em><em> </em><em>3</em><em> </em><em>*</em><em> </em><em>x </em><em>(</em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em>)</em>
<em>=</em><em> </em><em>3x </em><em>(</em><em> </em><em>4x²</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em>
<em>=</em><em> </em><em>12x³</em><em> </em><em>-</em><em> </em><em>3x </em>
<em>Hope </em><em>it </em><em>will </em><em>help </em><em>:</em><em>)</em>
