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svet-max [94.6K]
3 years ago
8

Jennifer's annual salary increased from $27,000 to $45,000 over the last five years. Find the percent increase in her salary dur

ing this time period. Round to the nearest tenth of a percent.
Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0
Percentage increase= increase in amount ÷ original amount

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What are the vertex, axis of symmetry, maximum or minimum value, and range of y = 3x^2 + 6x − 1?
Bess [88]
The vertex is when x=-b/2a, which is also the line of symmetry. 
in this case, b=6, a=3, so x=-6/6=-1
when x=-1. y=3-6-1=-4

another way to do it is to write the equation into vertex form by making a square:
3x²+6x-1
3(x²+2x-1/3)
3(x²+2x+1-1-1/3))
3(x²+2x+1-4/3))
notice the bold part makes a square:
3(x+1)²-4

Either way, 
the vertex is (-1, -4)
the axis of symmetry is x=-1
the coefficient of x² is 3, a positive number, so this parabola opens upward. the function has a minimum value of y=-4
the range is all real number larger than -4
6 0
3 years ago
Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:
telo118 [61]
Axis of symmetry -3 and -8 or 3 and -8 

6 0
3 years ago
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. B = 15° C = 113° b = 49
VMariaS [17]

Answer:

  A = 52°, a = 149.2, c = 174.3

Step-by-step explanation:

Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.

___

The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.

  c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice

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The answer is b I’m pretty sure
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