Answer:
- 8 - H
- 9 - T
- 10 - D
- GARFIELD THE CAT
Step-by-step explanation:
Correct so far.
H -- 8
T -- 9
D -- 10
The balloon depicted ...
GARFIELD THE CAT
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The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(b·c)
Of course, an odd number of minus signs in a product means the product is negative.
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Most of these can be figured just by looking at the coefficient, or the exponent of one variable, such as x.
In y=ax²+bx+c, the vertex is when x=-b/(2a),
the x intercept is the value of x when y=0, and the y intercept is the value of y when x=0
in this case, a=-1, b=2, so the vertex is when x=-2/[2*(-1)]=1
when x=1, y=-(1)²+2*1+1=2, so the vertex is (1,2)
when x=0, y=1, the x intercept is (0,1)
when y=0, -x²+2x+1=0, use the quadratic formula to find x: x=-1+√2, x=-1-√2
so the symmetry point the the y intercept is (-1+√2, 0) (-1-√2, 0)
Answer:
restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
edge 2020
The right answer for the question that is being asked and shown above is that: "log2(4x) = log2 (4) + log2 (x)." The equation that illustrates the product rule for logarithmic equations is that <span>log2(4x) = log2 (4) + log2 (x)</span>
Answer:
see the attachments for the graph(s)
- y = -1/6(x -3)^2 +6
- y = -1/6(x +3)(x -9)
- y = -1/6x^2 +x +9/2
Step-by-step explanation:
1) The point at (3, 6) is on the vertical line that is halfway between the zeros at x=-3 and x=9, so it represents the vertex of the function. That knowledge, with any of the other points, lets you write the vertex form of the equation.
y = a(x -3)^2 +6
Using the point (0, 4.5), we can find the value of 'a':
4.5 = a(0 -3)^2 +6
-1.5 = 9a
-1.5/9 = a = -1/6
So, the vertex form of the equation is ...
y = -1/6(x -3)^2 +6
A graph of this is shown in the attachment.
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2) Now that we know the leading coefficient is -1/6, we can write the equation in "intercept form" (factored form) as ...
y = -1/6(x +3)(x -9)
In this form, each zero (p) gives rise to a factor (x-p).
The second attachment shows the graph of this.
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3) We can also write the equation in standard form, by expanding the one in (2) above:
y = -1/6(x^2 -6x -27)
y = -1/6x^2 +x +9/2
The third attachment shows the graph of this.