ANSWER
EXPLANATION
Recall that,
But we were given that,
and
We substitute these values into the above formula to obtain,
This implies that,
This simplifies to,
So we can now find
We use the same formula again,
We substitute the values to get,
We multiply out to get,
The answer is line 3. Line 3 has -12 - 3 and below that they have -9. It would be
-12 - 3 = -15
The curve has been attached and the answer choices are:
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1
Answer:
.8
Step-by-step explanation:
The answer should be 5 degrees. The temperature starts at 8 degrees and decreased to 3 degrees. Therefore you find the missing addend which in this case is 5 degrees. 8-3=5
