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KiRa [710]
2 years ago
7

x^{2} -50}{x^{2} +7x+10}" alt="\frac{2x^{2} -50}{x^{2} +7x+10}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Vikentia [17]2 years ago
4 0

Step-by-step explanation:

\frac{2 {x}^{2}  - 50}{ {x}^{2}  + 7x + 10 }

\frac{2( {x}^{2} - 25) }{(x + 5)(x + 2}

\frac{2(x + 5)(x - 5)}{(x + 5)(x  +  2)}

\frac{2(x - 5)}{x + 2}

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How do you complete the square to rewrite y= x^ -6x + 15 in vertex form
Vaselesa [24]
Vertex form of a quadratic equation is y=a(x-h)^{2}+k
where (h, k) is the vertex. 

Our aim is to write the expression y=x^{2} -6x+15 in the form 
y=a(x-h)^{2}+k



y=x^{2} -6x+15

y=x^{2} -2*3*x+15

y=(x^{2} -2*3*x+ 3^{2})-3^{2}+ 15

y=(x-3)^{2}-9+15

y=(x-3)^{2}+6
5 0
3 years ago
Help pls- <br><br> I dont know it T^T
docker41 [41]

Answer:

Ans: H and A

Step-by-step explanation:

By the identity:

1-(cos(x))cos^{2}(x)+ sin^{2}(x)=1\\cos^{2}(x)=1- sin^{2}(x)\\\\cos(x)=\sqrt{1- sin^{2}(x)} \\sin(x)=\sqrt{1- cos^{2}(x)}\\\\\sqrt{1- cos^{2}(x)}/sinx=1\\\sqrt{1- sin^{2}(x)}/cosx=1\\\sqrt{1- cos^{2}(x)}/sinx+\sqrt{1- sin^{2}(x)}/cosx=2\\\\\\

Ans: H

For second quesiton, the transformation of a graph is that:

f(x) + k means vertical translation up by k units

Two curve have the same maximum value, so the graph doesn't translate upwards or downwards, thus b=0

Ans: A

7 0
3 years ago
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

5 0
3 years ago
Given the set of integers one through 12 what is the probability choosing an odd number or a number greater than nine
snow_lady [41]

Answer:

1/4

Step-by-step explanation:

the numbers greater than nine are: 10,11,12

1,3,5,7,9

So that is nine numbers

9/12 can be simplified to 3/4 if you divide by 3

if you like my answer please give me the brainliest. I'm trying to boost my rank and I'm really close

7 0
3 years ago
An equation of a trend line for the scatter plot below is y=42x+50. Predict how many more sales the store makes in December than
Alexxx [7]

Answer: 42 more sales in December

8 0
3 years ago
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