<em><u>Answer:</u></em>
The answer is A) The y-intercept of function A is greater than the y-intercept of function B.
<em><u>Step-by-step explanation:</u></em>
We can see by graphing function A that the y-intercept (where the graph crosses the y-axis) is (0,3). For function B, we can see that the y-intercept is (0,2). Therefore, we know that 3 is greater than 2, so the y-intercept for function A is greater than that of function B. <em>I'll attach a photo of the first function graphed online.</em>
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Let 
be the constant factor between terms, so that
and so on, with
(notice how the exponent and the subscript add to 
)
Then
so if
then
Now,
so the third term in the sequence is 30.
Answer:
Area = ab
Step-by-step explanation:
Area is length × width, so fill in a for the length and b for the width. Multiply a and b together.
A = a×b
A = ab
Answer:
a = 6 and b = -1.
Step-by-step explanation:
To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.
So dy/dx = d(-x²+ ax + b)/dx = -2x + a
we equate it to zero.
-2x + a = 0
-2x = -a
a = 2x
Now, given that x = 3 at the maximum value,
a = 2x = 2(3) = 6
Also, substituting y = 8 and x = 3 into y, we have
y = -x²+ ax + b
8 = -(3)²+ a(3) + b
8 = -9 + 3a + b
3a + b = 8 + 9
3a + b = 17
So, b = 17 - 3a
substituting a = 6, we have
b = 17 - 3(6)
b = 17 - 18
b = -1
So, a = 6 and b = -1.
Answer:
28 Square units
Step-by-step explanation:
