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viktelen [127]
3 years ago
5

In order to solve x 2 + 12 x = 2 by completing the square, what value must be added to both sides?

Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

36

Step-by-step explanation:

x^2 + 12 x = 2

In order to complete the square we need to add ( b/2)^2 to each side where b is the coefficient of the x term

b=12

12/2 = 6

6^2 = 36

We need to add 36 to each side

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Which is the best estimate of the correlation coefficient for the variables in the scatter plot?
V125BC [204]

By using a scatter plot we can get the relationship of two variables or correlation.

There will be two types of correlation.

If the data of the plot show a positive slope of the estimated line then it will be a positive correlation.

Now a correlation value lie between 0 to 1 if it is very close to 0 like 0.1 , 0.2 then we can say the correlation is weak psitively correlated. and if it will be close to 1 like 0.8 or 0.9 then the correlation will be strong.

Similarly if slope of the estimated line will be negative then it will be a negative correlation.

From the above scatter plot notice that it has a negative slope and we can draw a fair estimate line on this scatter plot. So, there is strong negative correlation.

Hence the correct choice is -0.8.

3 0
4 years ago
Brainliest and 30 points please help
kolbaska11 [484]

Answer:

22. Perimeter = 52 units

     Area = 160 Square Units

23. Notation form :  2 \times 10^{5}

     Standard Form : 200000

Step-by-step explanation:

22.

The formula for perimeter is

P = 2 (length + Width )

  = 2 ( 2x+3x+1)

  =  2(5x+1)

The Formula for Area of a rectangle is

A= length x width

A= 2x \times (3x+1)

A=6x^2+2x

Now we have to find the Perimeter and Area for x = 5

P = 2(5 x 5 +1)

P= 2(26)

P=52 units

A= 6 x 5 x 5 + 2 x 5

A= 150 + 10

A= 160 square units

23.

A. By using rule of exponents , we can determine that both the results will be same.

B.

Miriam's calculation

\frac{2.8 \times 10^{9}}{1.4 \times 10^{4}}

\frac{2.8}{1.4} \times 10^{9-4}

2 \times 10^5

Priya's calculation

\frac{2.8 \times 10^{2}}{1.4 \times 10^{-3}}

\frac{2.8}{1.4} \times 10^{2-(-3)}

2 \times 10^5

Standard notation

2 \times 10^5 = 200000

4 0
3 years ago
Grocery Mart has cookies on sale for $3.84 for 12 cookies. Food Shoppe has cookies on sale for $5.70 for 19 cookies. Which store
Strike441 [17]

Grocery mart:

12÷$3.84=3.125

Food Shoppe:19÷$5.70=3.333

so grocery mart is cheaper by

0.2075333333

5 0
3 years ago
Which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7
trapecia [35]

Answer:

x⁷ = 60

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • log x⁵ + log x ¹² = 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

  • The expotential equation .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

Given logarithmic equation is ,

⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

⇒log x ⁶⁰ = 7

In expotential form we can write it as ,

⇒ x⁷ = 60

5 0
3 years ago
6x^3+ 10x^2 – 4x<br> -<br> I need help with this question
Westkost [7]

Answer: 2x(3x−1)(x+2)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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