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gladu [14]
3 years ago
14

Explain why the equation (x-3)^2-38=11 has two solutions. Then solve the equation to find the solutions. Show your work.

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
4 0

Answer:

X = 10 and X = -4

Step-by-step explanation:

(x-3)^2-38=11

(x-3)^2 = 11 +38

(x-3) ^2 = 49

Taking square root on both sides

√(x-3) ^2 = √ 49

X-3 = +7, -7

X = 7 +3,    X= -7+3

X = 10        X = -4

So, it has got two solutions

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4949 units
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2 years ago
For all positive integers x ,what is the greatest common factor of the numbers 256x and 144x
gogolik [260]
First, let's factor both of these numbers.  

256x:

2^{8} * x

144x:

3^{2} * 2^{4} * x

Both of these numbers contain 2^{4} * x, so that would be the greatest common factor.  This could also be written as 16x.
4 0
3 years ago
An international company has 22,700 employees in one country. If this represents 23.1 of the company's employees,how many employ
GrogVix [38]

Answer: 98268

Step-by-step explanation:

Given: In an international company,

Employees in one country = 22,700

If this is 23.1% of the total number of company's employees,

[1\%=\dfrac1{100} , replace 'of' by '×']

i.e. 23.1% of (total employees) = 22700

\Rightarrow\ \dfrac{23.1}{100}\times\text{(total employees)}=22700\\\\\Rightarrow\ \text{Total employees}=\dfrac{22700\times100}{23.1}\\\\\Rightarrow\ \text{Total employees}=98268.4\approx98268

Hence, there are 98268 employees in total.

4 0
3 years ago
The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of Goals Probab
steposvetlana [31]

Answer: d. 0.55

Step-by-step explanation:

The given probability distribution:

Number of Goals     0            1            2          3           4

Probability             .05           .15        .35       .30           .15

The probability that in a given game the Lions will score less than 3 goals

= probability that in a given game the Lions will score less than or equal to 2

= 0.5+0.15+0.35

= 0.55

Hence, the correct option is d. 0.55

3 0
3 years ago
56,927.34 in expanded form
DanielleElmas [232]

Answer:

Step-by-step explanation:

Standard Form:

56,927.34

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

50,000  

+6,000  

+900  

+20  

+7  

+0.3

+0.04

Expanded Factors Form:

 5 ×10,000  

+ 6 ×1,000  

+ 9 ×100  

+ 2 × 0  

+ 7 ×1  

+ 3 ×0.1

+ 4 ×0.01

Expanded Exponential Form:

5 × 104

+ 6 × 103

+ 9 × 102

+ 2 × 101

+ 7 × 100

+ 3 × 10-1

+ 4 × 10-2

5 0
3 years ago
Read 2 more answers
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