For f(x), which has a vertex at (2,0), the y-intercept at (0,4) is above this vertex, so the parabola opens upward. This means that the vertex is the only point that touches the x-axis, so there is only 1 x-intercept.
For h(x), the graph does not have any x-intercepts.
For g(x) = x^2 + x - 2 = (x+2)(x-1), this intersects the x-axis at x = -2 and x = 1, so there are 2 x-intercepts.
From least to greatest: h(x), f(x), g(x).
Answer:
3.72769
Step-by-step explanation:
Use tangent - tan74 = 13/x
Solving for x gives you 3.72769
I'm not sure how many decimal places you need, so there are most of them
Hopefully this helps- let me know if you have any questions
Answer:
$3863.68
Step-by-step explanation:
Please see attachment
Yards= 42 2/3 yd=42 + 2/3 yd=(42*3 + 2)/3 yd=128/3 yd
Gallons=1 1/3 Gallons=1+1/3 gallons=(3*1+1)/3 gallons=4/3 gallons.
Rate=number of yards / number of gallons.
Rate=(128/3 yd) / (4/3 gallons)=32 yd/gallon.
Answer: Angela´s rate=32 yards / gallons