Tina said that 6:8 is equal to 36:64.
It's wrong. It should be 48:64. Because just like a fraction, whatever you multiply in the bottom, you do to the top.
Answer:
y = 3
Step-by-step explanation:
Substitute the given points into the function and solve for a and b
Using (2, 12)
12 = ab² → (1)
Using (5, 96)
96 = a
→ (2)
Divide (2) by (1)
= 
, that is
b³ = 8 ( take the cube root of both sides )
b = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
Substitute b = 2 into (1) and solve for a
12 = a2² = 4a ( divide both sides by 4 )
3 = a
Thus
y = 3 ← is the exponential function
Answer:
3
Step-by-step explanation:
We know x = -2, so we can substitute -2 in for x
3x^2- 9
3*-2^2-9
Solve the exponent first (PEMDAS)
3*4-9
Multiply next
12-9
Subtract
3
Ok! So, given a quadratic function<span>, </span>y<span> = ax</span>2<span> + bx + c, when "a" is positive, the </span>parabola <span>opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, </span>y<span> = </span><span>x2</span><span>, where "a" is 1.
Hope this helps.</span>
Slope = rise/run = (change in y)/(change in x)
Slope = (4-6)/(0-(-4)) = (-2)/(4)
Slope = -1/2 = -0.5
