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Irina-Kira [14]
3 years ago
9

What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0
<u>x-intercepts are found by setting y=0</u>
y=2x^2-8x-10\rightarrow0=2x^2-8x-10
<em>factor out a 2</em> 0=2(x^2-4x-5)\rightarrow0=x^2-4x-5
<em />0=(x-5)(x+1) <em>roots should be </em>x=-1,5
therefore, x-intercepts are (-1,0) and (5,0)
<u>
</u><u>y-intercepts are found by setting x=0</u>
y=2x^2-8x-10\rightarrow y=2(0)^2-8(0)-10
\rightarrow y=0-0-10=-10
therefore, y-intercept is (0,-10)
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Given two angles that measure 50 degrees and 80 degrees and side that measures 4 feet, how many triangles, if any, can be constr
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The set of angles remains the same (50-50-80), but subject to the constraint mentioned above, the measure of any one of the sides has infinitely many possible values, so long as those values are positive.

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2 years ago
How do you know if a graph you are looking at shows a periodic function? How do you determine the period of the graph?
mylen [45]

Answer:

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You can also just say: A periodic function is one that repeats itself in regular intervals.

Step-by-step explanation:

The smallest value of T is called the period of the function.

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For example, here's the graph of sin x.  [REFER TO PICTURE BELOW]

Sin x is a periodic function with period  2π  because  sin(x+2π)=sinx  

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In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Hopefully this helped a bit.

6 0
3 years ago
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7 0
2 years ago
Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6
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Given:
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Row
<span> <span> </span><span><span> 1              11    11  
</span><span>2       11     6    17
</span> <span> 3       17     6    23
</span> <span> 4       23     6    29
</span> <span> 5       29     6    35
</span> <span> 6       35     6    41
</span> <span> 7       41     6    47
</span> <span> 8       47     6    53
</span> <span> 9       53     6    59
</span> <span> 10     59     6    65
</span> <span> 11     65     6     71
</span> <span> 12     71     6     77
</span> <span> 13     77     6     83
</span> <span> 14     83     6     89
</span> <span> 15     89     6     95
</span> <span> 16     95     6    101
</span> <span> 17   101     6    107
</span> <span> 18   107     6    113 </span></span></span>
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