MATHEMATICS HIGH SCHOOL

Solve x^2 - 8x + 3 = 0 by completing the square. Which equation is used in the process? (x - 4)^2 = 0 (x - 4)^2 = 13 (x - 4)^2 = 19 Match the following items by evaluating the expression for x = -3

Answers

Answer 1
Answer:

Answer:

(x -4)^2 = 13

Step-by-step explanation:

To solve this  equation using the completing the square method;

x^2 - 8x + 3 = 0

The first step is to take +3 to the right-hand side of the equation, 3 becomes negative when it crosses over the equality sign.

The equation becomes;

x^2 - 8x  =  -3

The next step is to add square of  half of the coefficient of x to both-side of the equation. That is; you will add   (-4)^2 to both-side of the equation.

x^2 - 8x  +  (-4)^2=  -3 +  (-4)^2

Then, we factorize  the left hand side of the equation and our equation

(x - 4)^2   =    -3 +  (-4)^2

The we simplify the right-hand side of the equation

(x - 4)^2   =  -3 +  16

(x - 4)^2   =  13
Answer 2
Answer: Hello,
Answer B

x²-8x+3=0
==>x²-2*4*x+16-13=0
==>(x-4)²=13

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The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of the prism? (Show all steps.)

Answers

If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / 3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is n² + 4n + 4.

How do I factor 5x^2 + 28x + 32 ?

Answers

Factor:

5x^2 + 28x + 32  =======>  Solution:  ======>   ( x   +   4 ) ( 5x   +   8 )


Steps:  Factor

5x^2 + 28x + 32

Break the expressions into groups:

( 5x^2     +    20x )      +     ( 8x       +     32 )

Factor Out   5x^2   From  5x^2   +   20x   ======>     5x( x   +   4 )

Factor Out the  8   From    8x    +   32    ========>    8 ( x      +    4 )

=       5x (x     +    4 )       +     8 ( x      +     4 )

Factor Out Common term:

x     +        4

Answer =====>  Factor of;  ==>  5x^2 + 28x + 32     ( x      +    4 ) ( 5x      +   8 )



Hope that helps!!!!                                              : )

   
Hi! First, you want to work out your exponets. We have a 5x to the 2nd power (5x^2). Look at it as 5x•5x, “• means to multiply” so that will equal 25x. Next, put it back in the equation. That’ll be 25x+28x+32. Next step is to combine variables . The variables are 25x and 28x. this will equal, 53x. Put that back into the equation, which will now be 53x+32. This will be your answer since you cannot combine those two! Hope this works!

Solve for x.5+4/7(21+3x)=41

(note the 4/7 is a fraction not division)

Enter your answer in the box.

x =

Answers

Answer:

The answer is x=14.

Step-by-step explanation:

In order to determine the answer, we have to solve for x, that is, we have to free the "x" variable in any side of the equation. We have to do the same procedure for any variable, independent of the amount of variables in the equation.

Solving the expression for x:

5+(4)/(7)*(21+3x)=41\n(4)/(7)*(21+3x)=41-5\n\n21+3x=(36)/((4)/(7) ) \n\n21+3x=(36*7)/(4)\n3x=63-21\n3x=42\nx=(42)/(3)= 14

The solution for x is x=14.

Answer:

x=14

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Solve the compound inequality. y - 3 > 5 OR y + 3 < -2

Answers

Answer: y < -5 or y > 8

Step-by-step explanation:

y-3>5\quad \text{or}\quad y+3<-2\n\underline{\ \ \ +3}\ \underline{\ +3}\qquad \underline{\quad \ \ -3}\ \underline{\ \ \ -3}\ny\quad \ \ >8\quad \text{or}\quad y\quad \ \ <-5

Graph:  ←---------o -1            8 o------------→

Interval Notation: (-∞, -5) ∪ (8, ∞)

18 is 60% of what number

Answers

is means equal

of means multiplication

Soooo

\sf{18 = (60)/(100) * x}

And simplifying that

\sf{18 * (100)/(60) = x}

And simplifying that more:

\sf{30 =x}

So x=30

So the number you are looking for is 30
18 is 60% of what number? 30 is your answer. 
Let n be the number. 

18 = 60% of n 
18 = 0.6n 
18/0.6 = n 
30 = n 

Is y=1/4x^0.5 a power function? Explain your reasoning.

Answers

no   power function is a function of the form : where and are constant real numbers and is a variable. The domain of a power function can sometimes be all real numbers, but generally a non-negativity is used to avoid problems with simplifying. The domain of definition is determined by each individual case.
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