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Mathematics

1 answer:

Yuliya22 [10]4 years ago

8 0

Answer:

x = 26, 16

Step-by-step explanation:

( x-21) ^2 = 25

Take the square root of each side

sqrt(( x-21) ^2) = ±sqrt(25)

x-21 = ±5

Add 21 to each side

x-21+21 = 21±5

x = 21±5

x = 21+5 and x = 21-5

x = 26, 16

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Please help me on this math question

vladimir1956 [14]

16 oz because if you do 48/16 you get 3 and 4 times $4.87 equals less then 13.97

8 0

4 years ago

Solve for x: 4|2x − 2| 10 = 34. (5 points) x = −4, x = 2 x = 4, x = −4 x = 2, x = −2 x = 4, x = −2

rusak2 [61]

4|2x − 2| + 10 = 34
4|2x − 2| + 10 - 10 = 34 - 10
4|2x − 2| = 24
|2x − 2| = 24/4 = 6
2x - 2 = 6 or 2x - 2 = -6
2x = 6 + 2 or 2x = -6 + 2
2x = 8 or 2x = -4
x = 8/2 or x = -4/2
x = 4 or x = -2

To check for extraneous solutions:
For x = 4: 
4|2(4) − 2| + 10 = 34
4|8 − 2| = 34 - 10 = 24
6 = 24/4 = 6 (solution is valid)

For x = -2: 
4|2(-2) − 2| + 10 = 34
4|-4 − 2| = 34 - 10 = 24
|-6| = 6 = 24/4 = 6 (solution is valid) 

Therefore, solutions are x = 4 , x = -2

7 0

4 years ago

Which phrase best describes the scatterplot below? strong negative correlation strong positive correlation weak negative correla

s344n2d4d5 [400]

*the scatter plot of the question is attached below

Answer:

Strong negative correlation

Step-by-step explanation:

In the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.

Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.

Therefore, the phrase that best describes the scatter plot is: strong negative correlation.