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ValentinkaMS [17]
1 year ago
9

The function g is defined by g(x)=x-4. Find g (y + 3).

Mathematics
1 answer:
Softa [21]1 year ago
6 0

Answer:

g ( y + 3 ) = y - 1

Hope this helps!

Step-by-step explanation:

g ( y + 3 ) = ( y + 3 ) - 4

g ( y + 3 ) = y - 1

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A system of linear equations contains two equations with negative reciprocal slopes. How many solutions will it have?
Yanka [14]

Answer:

1 solution

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The product of two consecutive odd integers is 1 less than four times their some. find the two integers.
nignag [31]
2 consecutive odd integers.....x and x + 2.....the product means multiply....the sum means add.

x(x + 2) = 4(x + x + 2) - 1
x^2 + 2x = 4(2x + 2) - 1
x^2 + 2x = 8x + 8 - 1
x^2 + 2x = 8x + 7
x^2 + 2x - 8x - 7 = 0
x^2 - 6x - 7 = 0
(x - 7)(x + 1) = 0

x - 7 = 0            x + 2 = 7 + 2 = 9
x = 7
 
x + 1 = 0           x + 2 = -1 + 2 = 1
x = -1

there can be 2 answers for this....
(1) 7 and 9
(2) -1 and 1
7 0
3 years ago
population mean =72 and standard deviation =10, what is standard error of distribution of sample means for n=4 and n=25
mixer [17]

Answer:

<u>The standard error of distribution for n = 4 is 5 and for n = 25 is 2.</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Population mean = 72

Standard deviation  =  10

Sample₁ = 4

Sample₂ = 25

2. For finding the standard error of the mean, we use the following formula:

Standard error = Standard deviation / √Size of the sample

Standard error for Sample₁ = 10/√4

<u>Standard error for Sample₁ = 10/2 = 5</u>

Now, let's find the standard error for Sample₂

Standard error for Sample₂ = 10/√25

<u>Standard error for Sample₂ = 10/5 = 2</u>

4 0
3 years ago
What are the steps to (3w^3+7^2-4w+3) and (w+3)
Crazy boy [7]
<span>Equation at the end of step  1  :</span><span> <span> Step  2  :</span></span><span>Equation at the end of step  2  :</span> <span> Step  3  :</span><span> 3w3 + 7w2 - 4w + 3 Simplify /  w + 3 </span>Checking for a perfect cube :

<span> 3.1 </span>  <span> 3w3 + 7w2 - 4w + 3</span>  is not a perfect cube

Trying to factor by pulling out :

<span> 3.2 </span>     Factoring: <span> 3w3 + 7w2 - 4w + 3</span> 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -4w + 3 
Group 2: <span> 3w3 + 7w2</span> 

Pull out from each group separately :

Group 1:   (-4w + 3) • (1) = (4w - 3) • (-1)
Group 2: <span>  (3w + 7) • (w2)</span>

<span>Bad news !! Factoring by pulling out fails :

</span>The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

<span> 3.3 </span>   Find roots (zeroes) of :      <span> F(w) = 3w3 + 7w2 - 4w + 3</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of  w  for which   F(w)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  w  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is <span> 3.

 </span>The factor(s) are:

of the Leading Coefficient : <span> 1,3
 </span>of the Trailing Constant : <span> 1 ,3

 </span>Let us test ....

<span><span>  P   Q   P/Q   F(P/Q)    Divisor</span><span>     -1     1      -1.00      11.00   </span><span>     -1     3      -0.33      5.00   </span><span>     -3     1      -3.00      -3.00   </span><span>     1     1      1.00      9.00   </span><span>     1     3      0.33      2.56   </span><span>     3     1      3.00      135.00   </span></span>


Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

<span> 3.4 </span>   Polynomial Long Division
Dividing : <span> <span>3w3 + 7w2 - 4w + 3</span> 
                              ("Dividend")
</span> By         :   <span> w + 3    ("Divisor")
</span>

<span><span>dividend <span> 3w3 </span>+<span> 7w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* 3w2</span> </span> <span> 3w3 </span>+<span> 9w2 </span>    </span><span>remainder  -<span> 2w2 </span>- 4w + 3 </span><span>- divisor<span> <span>* -2w1</span> </span>  -<span> 2w2 </span>- 6w   </span><span>remainder      2w + 3 </span><span>- divisor<span> <span>* 2w0</span> </span>      2w + 6 </span><span>remainder      - 3 </span></span>

Quotient : <span> <span>3w2 - 2w + 2</span> 
</span> Remainder : <span> -3 
</span>

Final result :<span> 3w3 + 7w2 - 4w + 3 over w + 3 </span>

5 0
3 years ago
What is the ratio for 2 red paper clips to 6 blue paper clips? Write it as a fraction.
Dmitriy789 [7]

Answer:

2 over 6 as a fraction simplifies as 1 over three.

Step-by-step explanation:

If you are writing as a fraction, you put 2 over 6 and simplify. Your answer is 1 over 3

7 0
3 years ago
Read 2 more answers
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