The curve has been attached and the answer choices are:
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
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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
It seems like you put the same equation up there twice, but no worries! :)
8x + 32 = 2(25x - 15) - 11x
Simplify.
8x + 32 = 50x - 30 - 11x
Add like terms.
8x + 32 = (50x - 11x) - 30
Simplify.
8x + 32 = 39x - 30
Now we must subtract 32 from both sides.
8x = 39x - 30 - 32
Then, subtract 39x from both sides.
8x - 39x = -30 - 32
Simplify.
-31x = -62
Finally, divide both sides by -31.
-31x ÷ -31 = -62 ÷ -31
Simplify.
x = 2
~Hope I helped!~
Answer:
128
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Answer:
x = 67.5°
Step-by-step explanation:
A circle's angles add up to 360°
So,
x+3x+90 = 360
4x+90 = 360
4x = 360-90
4x = 270
Dividing both sides by 4
x = 67.5°