Answer:
<h2>C. F(x) = (x - 3)⁴</h2>
Step-by-step explanation:
f(x) + n - shift the graph of f(x) n units up
f(x) - n - shift the graph of f(x) n units down
f(x - n) - shift the graph of f(x) n units to the right
f(x + n) - shift the graph of f(x) n units to the left
===================================
The graph og G(x) = x⁴ shifted 3 units to the right.
Therefore F(x) = G(x - 3) = (x - 3)⁴
Answer:
8x² + 6x - 35
Step-by-step explanation:
A = (2x + 5)(4x - 7)
Front: 2x * 4x = <em>8x²</em>
Outside: 2x * (-7) = <em>-14x</em>
Inside: 5 * 4x = <em>20x</em>
Last: 5 * -7 = <em>-35</em>
Add up: <em>8x² - 14x + 20x -35</em>
Simplify: 8x² + 6x - 35
Answer:
The equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
Step-by-step explanation:
The equation of line for point=slope form is
y-y₁ = m(x-x₁)
Finding Slope m:
m= y₂-y₁/x₂-x₁
here y₂= 6,y₁= 7,x₂= -3,x₁= -6
m = 6-7/-3-(-6)
m = -1/-3+6
m = -1/3
The slope m = -1/3 and considering point (-6,7) the equation is:
y-y₁ = m(x-x₁)
y-7 = (-1/3)(x-(-6))
y-7 = -1/3(x+6)
y-7 = -1/3x -2
y = -1/3x-2+7
y = -1/3x + 5
So, the equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5
1) / sin x / = y ≥ 0 ;
We solve the equation

a = 1 ; b = 1 ; c = - 2 ;

y1 = ( - 1 + 3 ) / 2 = 1 ≥ 0 ( correct ) ;
y2 = ( - 1 - 3 ) / 2 = - 2 ≥ 0 ( false ) ;
Then, / sin x / = 1 ;
sinx = + 1 or sin x = - 1 ;
x ∈ { 90 } U { 270 } ;
x ∈ {90 , 270}.
Answer:
2
Step-by-step explanation:
Since triangles ABC and ADE are similar by AA (they share angle A and a right angle), their ratio of sides must be equal. Therefore:

Multiply both sides by 2:

Multiply both sides by x+2:

Subtract 2 from both sides:

Hope this helps!