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Yanka [14]
3 years ago
12

choose the equation that shows a step in the process of completing the square on the given quadratic. y = x2 8x – 3 y = x2 8x 8

– 3 – 8 y = x2 8x 8 – 3 8 y = x2 8x 16 – 3 – 16 y = x2 8x 16 – 3 16
Mathematics
2 answers:
posledela3 years ago
3 0
Y = x^2 + 8x - 3
y = x^2 + 8x + (8/2)^2 - 3 - (8/2)^2
y = x^2 + 8x + 16 - 3 - 16
anastassius [24]3 years ago
3 0

Answer:

The next step will be : x^{2}+8x+16-3-16.

Step-by-step explanation:

we are given a quadratic equation as:

y=x^2+8x-3

now we have to find next step in the process for completing the square on the given quadratic

y=x^2+4^{2}+2\ \times x \times4-4^{2}-3

y=x^2+8x+16-3-16

Hence, the next step will be y=x^2+8x+16-3-16.


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The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra
Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

s= Sample standart deviation

N= Number of observations in the sample

{\displaystyle \textstyle {\bar {x}}}= Mean value of the sample

and \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} } simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)

\bar {x}=\frac{1}{15}*(3810)

\bar {x}=254

Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

s=393.99

The sample standard deviation is 393.99

3 0
4 years ago
Which expression is a way to represent the ratio of a to b?<br>obia<br>ob to a​
mash [69]

Answer:23

Step-by-step explanation:

4 0
3 years ago
A. -4m - 12 - 5m = 13​
vladimir2022 [97]

Answer:

Hope this helps!

Step-by-step explanation:

6 0
3 years ago
Ricky Major
Assoli18 [71]

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5

5 0
3 years ago
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a pyt
Leni [432]
If all three side lengths are INTEGERS and form PYTHAGOREAN TRIPLE then we know decimals are not allowed

if 24 and 51 are both legs then
24^{2} +  51^{2} =  x^{2}
x = 3177
and squre root of that gives us 56.364.... NOT an integer

So that means one of them is not a leg and since hypotenuse is longer than both legs, 51 must be the hypotenuse so to get the third side

51^{2} -  24^{2}  =  x^{2}[tex] [tex] x^{2}=2025
x=45, leg B

7 0
3 years ago
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