Answer:
(1), (4), (5), (7) applies to graph of odd monomial function.
Step-by-step explanation:
Consider an odd monomial function with the coefficient a.
The properties that satisfy the graph of an odd monomial function are:
- When a>0, the graph has no maximum or minimum point.
- When a<0, the graph has no minimum or maximum point.
- When a<0, the graph is in Quadrant II and IV.
- If IaI increases, the graph becomes narrower.
Answer:
The correct answer is 3πcm
Step-by-step explanation:
The length of an arc is calculated using the formula P=∅/360×2πr
where ∅is the angle the arc subtends at the center of the circle, and r is the radius of the circle of which the arc is part.
2r gives the diameter which from the diagram corresponds to AB=36 cm
therefore P=30/360×π×36
=3πcm
The slope is the factor in front of x, so slope is 9.
The y intercept is 7 (that's the point of cross the y axis, where x=0)
There are multiple definitions of "standard form" for lines, so here are the two i can think of:
9x - y = -7 (the implicit function form)
or
y-7 = 9*(x-0) (the point-slope form)
Lmk if you have questions.
Answer:
The answer to your question
a) Values excluded = -2, 0
b) solutions = -2/3, 2
Step-by-step explanation:
Equation
a) x is restricted when the denominators equal zero, so let's get them.
2x + 4 = 0 2x = 0
2x = - 4 x = 0 / 2
x = -4 / 2 x = 0
x = -2
x must be different to -2, 0
b)
4x² = (x + 2)²
4x² = x² + 4x + 4
4x² - x² - 4x - 4 = 0
3x² - 4x - 4 = 0
3x² - 6x + 2x - 4 = 0
3x(x - 2) + 2(x - 2) = 0
(x - 2)(3x + 2) = 0
x₁ - 2 = 0 3x₂ + 2 = 0
x₁ = 2 x₂ = -2/3
