Answer:
a) It's a quadratic
b) f(x) = A(x-3)(x-7)
c) she is right
Step-by-step explanation:
(0-12)/(3-1) = -6
(-4-0)/(5-3) = -2
Since the slope is not constant, it can't be a linear.
Therefore a quadratic
Since the zeroes are 3 and 7,
Factors are (x - 3) and (x - 7)
f(x) = A(x - 3)(x - 7)
Use any one point besides the x-intercepts to find A
12 = A(1-3)(1-7)
12 = 12A
A = 1
f(x) = (x - 7)(x - 3)
f(x) = x² - 7x - 3x + 21
f(x) = x² - 10x + 21
She is right
Answer:
Step-by-step explanation:
From inspection of the graph, the given points are:
If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.
<u>General form</u> of a geometric sequence:
where:
- a is the first term
- r is the common ratio
is the nth term
Rewrite the given points as terms of the sequence:
- (2, 9) ⇒ a₂ = 9
- (3, 3) ⇒ a₃ = 3
- (4, 1) ⇒ a₄ = 1
To find the common ratio r, divide consecutive terms:
Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:
Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:
Learn more about geometric sequences here:
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Answer:
I think is the same formula area .A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.
Step-by-step explanation:
The area of a rectangle is given by the relation length* width. The area of a triangle is given by the relation (1/2)*base* height. Now we know that the two have the same area equal to 150 cm^2. Also, when placed on the same level the tip of the triangle touches the upper edge of the rectangle.
Answer: 30 deg
Step-by-step explanation:
This is an example of a 30-60-90 triangle because the proportions of the sides are 1-2-sqrt(3). Therefore m<X = 30 degrees.
It is 8 to the one third power which is the same as the cube root of 8 which is 2. The answer is 2
