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Ratling [72]
3 years ago
15

Complete the square on the following quadratic

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0
X² + 10x +2 = 0 .Complete the square of (x² + 10x + ??)
We know that (10x) is equal to twice the square root of the 1st (x) by ??
10x = 2.x.(??) and ?? = 5 and its square is 25. Then I have to add 25 and subtract 25 so that not to change the equation:
 (x² + 10x + 25) -25 +2 =0
 (x+5)² -23
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A researcher is interested in estimating the mean weight of a semi trailer truck to determine the potential load capacity. She t
Kaylis [27]

Answer: 95% confidence interval = 20,000 ± 2.12\times\frac{1500}{\sqrt{17} }

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

Step-by-step explanation:

Given :

Sample size(n) = 17

Sample mean = 20000

Sample standard deviation = 1,500

5% confidence

∴ \frac{\alpha}{2} = 0.025

Degree of freedom (d_{f}) = n-1 = 16

∵ Critical value at ( 0.025 , 16 ) = 2.12

∴ 95% confidence interval = mean ± Z_{c}\times\frac{\sigma}{\sqrt{n} }

Critical value  at 95% confidence interval = 20,000 ± 2.12\times\frac{1500}{\sqrt{17} }

( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )

3 0
3 years ago
A triangle has side lengths of 6x + 8 cm, 8x - 3y cm, and 9 - 5y cm.
elena55 [62]

Answer:

thanks lol

Step-by-step explanation:

5 0
3 years ago
Each equation represents a linear relationship. Examine each and determine the slope and y- intercept
marysya [2.9K]

Answer:

Slope is -3/7. Y intercept is 250/7.

Step-by-step explanation:

Since they asking for the slope and y intercept, let put it in slope intercept form.

y = mx + b

where m is the slope and b is the y intercept.

The equation given is in standard form so we will convert it to slope intercept.

3x + 7y = 250

7y = 250 - 3x

y =  \frac{250}{7}  -  \frac{3}{7} x

y =  -  \frac{3}{7} x +  \frac{250}{7}

The slope is -3/7

The y intercept is 250/7

6 0
3 years ago
More expression help!​
irga5000 [103]
Y=5s+8a+200 is the right answer pretty sure
6 0
3 years ago
Help me pleasee !!!!
Daniel [21]

Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) y=\frac{3}{5} x +5

10) y = x - 3

11)  y=-\frac{3}{5} x - 3

12) y=\frac{5}{4} x + 2

these are the slop int forms, my bad...

sorry

3 0
2 years ago
Read 2 more answers
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