Which products result in a perfect square trinomial? Check all that apply. A=(–x + 9)(–x – 9) B=(xy + x)(xy + x) C=(2x – 3)(–3 + 2x) D=(16 – x2)(x2 – 16) E=(4y2 + 25)(25 + 4y2)

QUESTION POSTED AT 18/01/2020 - 07:11 AM

Answered by admin AT 18/01/2020 - 07:11 AM

The correct answers are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same.  For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order.  The same is true of (4y² + 25)(25 + 4y²).

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Related questions

14.A company employee has to print 3145 pages, and the company's printer prints 85 pages per minute. The function f(x)=−85x+3145f(x)=−85x+3145 represents the number of unprinted pages x minutes after the printing begins. What is the practical domain of function f? all whole numbers from 0 to 37 all real numbers from 0 to 37 all real numbers from 0 to 3145 all multiples of 85 between 0 and 3145

F(x) = -85x + 3145...the domain is going to be the x value while the range is the f(x) value.

answer is going to be all whole numbers from 0 to 37

notice if u sub in 37 for x.....
f(37) = -85(37) + 3145
f(37) = - 3145 + 3145
f(37) = 0...that means after 37 minutes, there are no un-printed pages...all the pages have been printed. So ur answer would be greater then 0, but less then or equal to 37.....and they have to be whole numbers.....they cant be all real number because that includes irrational numbers.

ANSWERED AT 16/02/2020 - 07:04 PM


QUESTION POSTED AT 16/02/2020 - 07:04 PM

5. What is an equation for the line with slope and y-intercept 9? (1 point) y = x y = 9x y = x + 9 y = 9x +  6. What is an equation in slope-intercept form for the line that passes through the points (1, –3) and (3, 1)? (1 point) y = 3x + 1 y = x – 3 y = 2x + 5 y = 2x – 5

6.) y - (-3) = (1 - (-3))/(3 - 1) (x - 1)
y + 3 = (1 + 3)/2 (x - 1)
y + 3 = 4/2 (x - 1)
y + 3 = 2(x - 1) = 2x - 2
y = 2x - 2 - 3 = 2x - 5
y = 2x - 5

ANSWERED AT 16/02/2020 - 07:04 PM


QUESTION POSTED AT 16/02/2020 - 07:04 PM

Lim x tanx/ 1-cosx x―>0 please help... ...?

Note that 1 - cos(x) = 2sin²(x/2) 

⇒ lim x→0 xtan(x)/ [1 - cos(x)] = 

= lim x→0 xtan(x) / 2sin²(x/2) = 

= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²] 


Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1 

So the limit is : 

= 1/2 lim x→0 xtan(x) / (x²/4) = 

= 1/2 lim x→0 4/x² * xtan(x) = 

= 2 lim x→0 tan(x)/x = 

= 2.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:43 PM


QUESTION POSTED AT 16/02/2020 - 06:43 PM

What is the conjugate of the square root of -15 ? ...?

The answer to the problem is as follows:


The square root of -15 is equal to i*sqrt(15). Therefore, the conjugate of this complex number is -i*sqrt(15).


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!



ANSWERED AT 16/02/2020 - 06:43 PM


QUESTION POSTED AT 16/02/2020 - 06:43 PM

Explain the solution to |4w + 9| = –7. ...?

So the  goal here is to find the value of "w". The first thing you must do is transpose the number 9 to the side of -7 and it would look like this, 4w = -7 - 9. Change the positive sign of the number 9 to negative when you transpose. Then, the equation will be simplified and it will look like this, 4w = -16. Then lastly, to get the value of "w", you must divide the equation to 4 and it will be like this, 
4w = -16    so you will get the answer w = -4. I hope this helps you
4        4

ANSWERED AT 16/02/2020 - 06:42 PM


QUESTION POSTED AT 16/02/2020 - 06:42 PM

Bill's Furrier marks up mink coats $3,000. This represents a 50% markup on cost. What is the cost of the coats? ...?

The correct answer is $6000.00

ANSWERED AT 16/02/2020 - 06:42 PM


QUESTION POSTED AT 16/02/2020 - 06:42 PM

Which of the following represents the set of possible rational roots for the polynomial shown below? 2x³+5x²-8x-10=0 a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10} b. {±1/2, ±1, ±2, ±5/2, ±5, ±10} c. {±1, ±2, ±4, ±5, ±10, ±20} d. {1/2, 1, 2, 5/2, 4, 5, 10, 20} ...?

Answer:

Option b is correct

Step-by-step explanation:

Given the polynomial

2x^3+5x^2-8x-10=0

we have to find the set of possible rational roots for the polynomial.

Rational root theorem states that if P(x)  has any rational roots then they must be of form

\pm{\frac{\text{Factor of }a_0}{\text{factors of }a_n}

Here P(x)=2x^3+5x^2-8x-10

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

Possible rational roots are

\{\pm1, \pm\frac{1}{2}, \pm2, \pm\frac{5}{1}, \pm\frac{5}{2}, \pm 10\}

Option b is correct

ANSWERED AT 16/02/2020 - 06:41 PM


QUESTION POSTED AT 16/02/2020 - 06:41 PM

Solve. x2 + 6x = 10 -3 ± sqrt 10 -3 ± sqrt 7 -3 ± sqrt 19 -3 ± sqrt 13 ...?

We can solve the given equation above by doing the completing the square method. We do as follows:

x^2 + 6x = 10
x^2 + 6x + 9 = 10 +9
(x+3)^2 = 19
√(x+3)^2 = √19
x + 3 = √19

Therefore, the correct answer from the choices listed above is the third option, -3 ± sqrt 19. Hope this answers the question. Have a nice day.

ANSWERED AT 16/02/2020 - 06:40 PM


QUESTION POSTED AT 16/02/2020 - 06:40 PM

What is the quotient: (3x2 + 4x – 15) ÷ (x + 3) ? is it 3x – 1, r = 1? i would just like for someone to confirm if it is or isnt ...?

Answer:

No, it is 3x-5 and r=0

Step-by-step explanation:

We can do it by long division method  the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x  we will get 3x^2+9xto cancel out the first term of dividend

Now after solving we will get -5x-15

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

ANSWERED AT 16/02/2020 - 06:37 PM


QUESTION POSTED AT 16/02/2020 - 06:37 PM

Express the function \[\frac{n^3}{1000} - 100n^2 - 100n + 3\]in terms of \(\huge{\Theta}\)notation ...?

The function n^3/1000 - 100n^2 - 100n + 3. The big-Theta notation represents a function that can sandwich the given function for sufficiently large n. Formally, Theta(g(n): k1*g(n) < f(n) < k2*g(n). Sometimes, it is just as easy as removing the lower order terms and dropping the coefficient of the highest degree term. Thus, the function can be represented as Theta(n^3).

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.

The solution to the problem is as follows:


For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain. ...?

Answer: No, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

Step-by-step explanation:

Two lines are called perpendicular to each other if the product of their slope is -1.

Since, the slope of a line having end points (x_1,y_1) and (x_2,y_2) is,

m=\frac{y_2-y_1}{x_2-x_1}

Thus, the slope of line Joining points P(–8, –10) and Q(–5, –12),

m_1=\frac{-12+10}{-5+8}=\frac{-2}{3}=-\frac{2}{3}

While, The slope of line Joining points R(9, –6) and S(17, –5),

m_2=\frac{-5+6}{17-9}=\frac{1}{8}

Since,

m_1\times m_2=-\frac{2}{3}\times \frac{1}{8}=-\frac{1}{12}\neq -1

Thus, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

State domain of -5 0 , -4 2, 0 10 , 3 16

The domain is another name for the values of x

In the points ( -5 , 0) , ( -4 , 2) , (0 , 10) , and (3 , 16)

-5, -4, 0, and 3 are the domains

ANSWERED AT 16/02/2020 - 06:23 PM


QUESTION POSTED AT 16/02/2020 - 06:23 PM

Matthew practices his violin for 25th minutes a day.he started at 3:15.what time will it be when Matthew stops practicingA. 3:30B. 3:40C. 3:50D. 4:50


B. 3:40
You would have to add 25 minutes to 3:15 to get 3:40

ANSWERED AT 16/02/2020 - 06:21 PM


QUESTION POSTED AT 16/02/2020 - 06:21 PM

X ÷ -18 - 2 = 1 plz help I'm horrible at math

Solve for x by simplifying both sides of the equation, then isolating the variable.
x = -54

ANSWERED AT 16/02/2020 - 06:20 PM


QUESTION POSTED AT 16/02/2020 - 06:20 PM

Which operation should you perform first when you simplify 175 - (8 + 45 / 3) * 7? A. Addition B. Division C. Multiplication D. Subtraction PLEASE ANSWER THIS IM IN A HURRY

Answer:

B. Division

Step-by-step explanation:

We have been given an expression 175-(8+\frac{45}{3})*7. We are asked to determine which operation will we use first to simplify our given expression.

Using order of operations PEMDAS, we will remove parenthesis first. To remove parenthesis, we need to simplify \frac{45}{3}.

Therefore, we will use division first to simplify our given expression.

ANSWERED AT 16/02/2020 - 06:17 PM


QUESTION POSTED AT 16/02/2020 - 06:17 PM

What is the equvilent fraction of 7•4 OVER 1002•9

I think that would be 0.02792 I'm thinking and trying to work it out

ANSWERED AT 16/02/2020 - 06:07 PM


QUESTION POSTED AT 16/02/2020 - 06:07 PM

Which sequence is not equivalent to the others? (1) a reflection across the y-axis, followed by a reflection across the x-axis, and then a 90° clockwise rotation about the origin (2)a 90° clockwise rotation about the origin and then a 180° rotation about the origin (3) a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis (4) a 90° counterclockwise rotation about the origin

Answer with explanation:

Consider the geometrical shape , which is in the first Quadrant

Option 1:

  A reflection across the y-axis, followed by a reflection across the x-axis, and then a 90° clockwise rotation about the origin .

Explanation:  

  When we reflect the shape across y axis , it will reach in second Quadrant, then by reflection across the x-axis,takes it to the third Quadrant,then a 90° clockwise rotation about the origin takes it to the second Quadrant.

Option 2:

a 90° clockwise rotation about the origin and then a 180° rotation about the origin

Explanation:  

90° clockwise rotation about the origin, takes the shape to fourth Quadrant,and then  a 180° rotation about the origin takes the shape to Second Quadrant.

Option 3

a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis

Explanation:

a reflection across the x-axis, takes the shape in fourth Quadrant,then a 90° counterclockwise rotation about the origin takes the shape in first Quadrant, and again then a reflection across x axis ,takes the shape again in Fourth Quadrant.

Option 4

a 90° counterclockwise rotation about the origin

Explanation:

a 90° counterclockwise rotation about the origin takes the shape in Second Quadrant.

Option 3 That is , Statement 3,⇒ a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis, is not equivalent to the other statement.

ANSWERED AT 16/02/2020 - 06:07 PM


QUESTION POSTED AT 16/02/2020 - 06:07 PM

What is 3 1/6 divided by 9/10 and what is 4 1/3 divided by 4/7? PLZ HELP MEH :

(19/6)/(9/10)=95/27
(13/3)/(4/7)=91/12

ANSWERED AT 16/02/2020 - 06:07 PM


QUESTION POSTED AT 16/02/2020 - 06:07 PM

How do you do x 8/3 - 1/2x = 31/6?

The answer is x=31 over 13

ANSWERED AT 16/02/2020 - 05:54 PM


QUESTION POSTED AT 16/02/2020 - 05:54 PM

consider the function f(x) = {(sinx)/x, x cannot equal 0 {k, , x = 0 In order for f(x) to be continuous at x - 0, the value of k must be..

The continuity condition demands that the value of the function at x =0 equals the limi of the function as x ->0

As x -> 0, Limit of [sin (x) /  x ] = 1.

Then, given that  f(0) = k , k must be 1.

Answer: k must be 1.

ANSWERED AT 16/02/2020 - 05:36 PM


QUESTION POSTED AT 16/02/2020 - 05:36 PM

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=7-x^2 . What are the dimensions of such a rectangle with the greatest possible area?

If the base is on the x-axis, the width of the rectangle is = xif the height is based on the parabola, the length = 7-x^2
the area of a rectangle = length * width
thus, area = x*(7-x^2)= 7x-x^3
in order to maximize the area, you would need to take the derivative of the area and set it equal to 0
Area = 7x-x^3Area' = 7 - 3x^2
7-3x^2 = 0thus, x = 1.5275
this x represents the x needed to create the largest possible area with the given parameters.
Thus:Width (x-axis) = 1.5275Length (y-axis) = 7 - (1.5275)^2 = 4.6667

ANSWERED AT 16/02/2020 - 05:35 PM


QUESTION POSTED AT 16/02/2020 - 05:35 PM

Fill in the blank: To find the values of p, q, r and s, you should start by finding all factor ___ of the leading coefficiant and constant term. Then try them to determine which ones give you the correct product ...?

I can be wrong, but I think that the answer is: To find the values of p, q, r and s, you should start by finding all factor pairs of the leading coefficiant and constant term. 

ANSWERED AT 16/02/2020 - 05:35 PM


QUESTION POSTED AT 16/02/2020 - 05:35 PM

determine whether multiplication by A is one to one linear transformation a)A=[ 1 -1 2 0 3 -4] b) A=[ 1 2 3 -1 0 4] ...?

To know if the given matrix is one to one linear transformation, Row reduce the Matrix A and if it has free variables in it it means it is not a one to one linear transformation.

So, we take A and apply Row Operation and get the following matrix
 
1 0 0
0 1 0
0 0 0

As, it has free variables in it, it means it is not a one to one linear transformation.

Hope it helps :)

ANSWERED AT 16/02/2020 - 05:34 PM


QUESTION POSTED AT 16/02/2020 - 05:34 PM

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 100x − 0.2x2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? ...?

The extrema of a function happen when the derivative is equal to zero. So first we calculate the derivative:R′(x)=100−0.4x
And then we solve:0=100−0.4x
0.4x=100
x=250 units
Now we can substitute back into the original equation to calculate the revenue:R(250)=100(250)−0.2(2502)
R(250)=$12500

ANSWERED AT 16/02/2020 - 05:33 PM


QUESTION POSTED AT 16/02/2020 - 05:33 PM

One number is 3 less than twice another. If their sum is 39, find the numbers. Which of the following systems of equations represents the word problem? A.y = 2x - 3 and y = x + 39 B.y = 2x - 3 and x + y = 39 C.y = 2(x - 3) and x + y = 39 ...?

Let

y------> one number

x-----> another number

we know that

y=2x-3 ------> equation A

x+y=39 ------> equation B

substitute equation A in equation B

x+[2x-3]=39

3x=39+3

x=42/3=14

Find the value of y

y=2*14-3=25

the numbers are 25 and 14

therefore

the answer is the option B

y=2x-3 and x+y=39

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

Which of the following are equivalent to the function y = 4cos x - 2? Check all that apply. A. y = -4cos x + 2 B. y = 4sin(x +π/2 ) - 2 C. y = 4sin(x - π/2) - 2 D. y = 4cos(-x) - 2 ...?

The answer is 
D. y = 4cos(-x) - 2
proof
cosine is an even function, it means cos(-x) = cosx
so 
y = 4cos(-x) - 2 = y = 4cos(x) - 2

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

Compute the following linear combinations. 4(-2,3)-2(6,-7) ...?

Answer:

Step-by-step explanation:

alright lets get started.

the linear combination is given by :

4(-2,3)-2(6,-7)

foiling 4 and 2 into the parenthesis

(4*-2, 4*3)+(-2*6,-2*-7)

(-8, 12)+(-12,14)

Combinig x and y terms together

(-8-12, 12+14)

(-20,26)    :     answer

Hope it will help. :)

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

name the property used in each equation. then find the value of n. 2.) 1·n=8 3.) 28·n=0 4.) 0+n=22 5.) 1/4·n=1

2. n = 8 (Identity property)
3. n = 0 (Zero Property)
4. n = 22 (Additive Identity Property)
5. n = 4 (Fractal property)

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM