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Oliga [24]
3 years ago
14

Solve this: -4<3x-4<_ 11 A. 5 B. 0 C. 0

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0
Your answer most likely will be A
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I have no idea what im doing someone help pls! due soon
Irina18 [472]

4x2-28x+49  

Final result :

 (2x - 7)2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22x2 -  28x) +  49

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4x2-28x+49  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -28x  its coefficient is  -28 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 49 = 196  

Step-2 : Find two factors of  196  whose sum equals the coefficient of the middle term, which is   -28 .

     -196    +    -1    =    -197  

     -98    +    -2    =    -100  

     -49    +    -4    =    -53  

     -28    +    -7    =    -35  

     -14    +    -14    =    -28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -14  

                    4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

                   (2x-7)  •  (2x-7)

            Which is the desired factorization

Multiplying Exponential Expressions :

2.2    Multiply  (2x-7)  by  (2x-7)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2x-7)  and the exponents are :

         1 , as  (2x-7)  is the same number as  (2x-7)1  

and   1 , as  (2x-7)  is the same number as  (2x-7)1  

The product is therefore,  (2x-7)(1+1) = (2x-7)2  

Final result :

 (2x - 7)2

7 0
3 years ago
Read 2 more answers
Write an equation of the line that passes through a pair of points: -5, -2 3, -1
irinina [24]

Answer: option B is correct.

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (- 5, - 2) and (3, - 1),

y2 = - 1

y1 = - 2

x2 = 3

x1 = - 5

Slope,m = (- 1 - - 2)/(3 - - 5) = 1/8

To determine the intercept, we would substitute x = 3, y = - 1 and

m = 1/8 into y = mx + c. It becomes

- 1 = 1/8 × 3 + c

- 1 = 3/8 + c

c = - 1 - 3/8 = - 11/8

The equation becomes

y = x/8 - 11/8

8 0
3 years ago
Read 2 more answers
(3,4) (3,5) (3,6) y as a function of x
Nezavi [6.7K]

Answer:

Step-by-step explanation:

y is NOT a function of x because there is not a unique y for each x.

The vertical line through these three points is

x = 3

6 0
3 years ago
X^2+2x+5=0 solve for X
Oksana_A [137]
Is it no real solutions?
7 0
3 years ago
A 30-60-90 triangle's short leg has a length of 25. What is the length of the longest leg?
astraxan [27]

Answer:

25\sqrt{3}

Step-by-step explanation:

30-60-90 Triangles

short leg = x

long leg = x\sqrt{3}

hypotenuse = 2x

5 0
3 years ago
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