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REY [17]
3 years ago
5

Which expressions are equivalent to 7(-3/4 times -4

Mathematics
1 answer:
Sliva [168]3 years ago
4 0

Answer:

147

Step-by-step explanation:

7(-3/4 times -4 should most likely be written with a " ) " at the end:

7(-3/4 times -4).

Symbolically, this comes out to

       

        7            -3         -4

7( ----------- )*(------ * --------- )   =   49(3) = 147

        1              4          1

Note:  If you are given possible answer choices, please share them.  Thanks

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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
Read 2 more answers
Select the correct answer. What is the correct expansion of the binomial (x + y)5? A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5 B.
Naily [24]
<h3>Answer:</h3>

  C.  x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5

<h3>Step-by-step explanation:</h3>

Wrong terms are bolded:

A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5

B. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4

C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5

D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5

The sum of exponents should always be 5.

7 0
3 years ago
Read 2 more answers
What is the quotient <br> 13632 divided by 48
Brilliant_brown [7]

Answer:

284 is the answer

7 0
2 years ago
Plz help me really fast
amid [387]

Answer:

$38.16

Step-by-step explanation:

8% of $48 is $3.84 so we subtract $48-$3.84=$44.16. Because of the coupon we then remove $6. $44.16-$6=$38.16

5 0
3 years ago
Read 2 more answers
Please help! Brainliest if you explain
My name is Ann [436]
Switch sides

4/5 (x+3)=y+6

Multiply both sides by 5

5*4/5 (x+3) = 5y+5*6

Simplify

4(x+3) = 57+30

Divide both sides by 4

4(x+3)/4 = 5y/4+ 30/4

Simplify

x+3 = 5y+30/4 

Subtract 3 from both sides

x+3 - 3 = 5y+30/4 - 3

Simplify 

x=5y+30/4 - 3











3 0
3 years ago
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