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Aleksandr [31]
3 years ago
15

Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: Ho

w many terms are in each factor of this expression? (4 points) Part C: What is the coefficient of the variable term? (2 points)
Mathematics
1 answer:
slamgirl [31]3 years ago
4 0

Answer:

A. 2 factors: 5 and (6+4x)

B. 5: 1 term  

(6+4x): 2 terms

C: The coefficient is 4

Step-by-step explanation:

The factors are the parts of expression separate by multiplications, so there are 2 factors: 5 and (6+4x)

The terms of each factor are the terms separate by the sign + or -. So the term of the factor 5 is 1 and the terms of the factor (6+4x) are 6 and 4x

The coefficient of the variable term is the number that is beside the variable. The coefficient of x is 4.

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1. Given the equation (x – 3)2 – 32 = 17 a)
m_a_m_a [10]
We know that

The square root property<span> is one method that is used to find the solutions to a quadratic equation.  This method involves taking the square roots of both sides of the equation.  
</span>(x – 3)² – 32 = 17-------> (x – 3)² = 17+32-----------> (x – 3)² = 49
(x – 3)² = 7²--------> <span>will take the square root of each side
</span>so
√(x – 3)²=(+-)√7²------> <span>notice the use of the </span> sign (+-), this will give us both a positive and<span>  a negative root
</span>
then

x-3=7--------> x=10
x-3=-7-------> x=-4

the answer Part a) is
x=10
x=-4

Part b) Explain why the given equation has two solutions.

the answer part b) is
Because exist<span> the possibility of two roots for every square root, one positive and one negative</span>
6 0
3 years ago
Y=3x+4 and crosses through the point (1,8)
erma4kov [3.2K]
The answer is  your equation does not pass though the point (1,8)
3 0
3 years ago
Determine algebraically whether f(x)=3x-2 and g(x)=(x+2)/3 are inverse functions. Show all work.
Sergio [31]

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2      

     

y= 3 x-2      

             

x= 3y - 2  

     

3 y -2 = x

3 y -2 + 2 = x + 2

<u>3 y </u> =  <u>x  </u> +  <u>2</u>                                                      

3        3       3

<u>3 y </u> =  <u>x  </u> +  <u>2  </u>                                                    

3        3       3

y =  <u>x </u>  +  <u>2   </u>        replace y with f ^ -1(x)

   <em> </em>  3        3                                            

f ^-1 (x) =    <u>x</u>   +  <u>2 </u>        

                 3       3      

4 0
3 years ago
Subtract 2x 2 - 6x - 4<br> from 4x 2 - 4x + 3.
mafiozo [28]
X subtracted from y means y-x
(4x^2-4x+3)-(2x^2-6x-4)
4x^2-4x+3-2x^2+6x+4
4x^2-2x^2-4x+6x+3+4=
2x^2+2x+7
6 0
3 years ago
Part B:
Andrew [12]

Articles of clothing that the store received last Thursday is 84

<u>Solution:</u>

Given that  

A clothing donation store received numerous articles of clothing on Thursday of last week.

The number of articles of clothing that the store received last Thursday is represented by the following expression:

4 (3x − 1) − 2 (6 + 2x)

Need to calculate articles of clothing that the store received last Thursday when x = 12.5

As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.

On substituting x = 12.5, we get

4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )

=> 4 (37.5 – 1) – 2 (6 + 25)

=> 146 – 62 = 84

On substituting x = 12.5 , we are getting value of expression as 84.

Hence articles of clothing that the store received last Thursday is 84

3 0
3 years ago
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