Mathematics High School

[7.07] Choose the correct product of (6x + 2)2.


36x2 − 4


36x2 + 4


36x2 − 24x + 4


36x2 + 24x + 4

Answers

Answer 1
Answer:
36x^2 + 24x + 4

Explanation:
The perfect square has the following general formula:
(a + b)^2 = a^2 + 2ab + b^2

Now, we will expand the given perfect square based on the above general formula:
(6x + 2)^2 = (6x)^2 + 2(6x*2) + (2)^2
                 = 36x^2 + 24x + 4

Hope this helps :)

Related Questions

The shorter leg of a right triangle is 12 yards. if the hypotenuse is 20 yards, how long is the other leg?

Answers

I believe the other leg should be 16 yards long.
If this answer helped you and was correct you can name me "Brainliest." ty :) 

A​ country's people consume 6.36.3 billion pounds of candy​ (excluding chewing​ gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301301 million.

Answers

the correct question is
A​ country's people consume 6.3 billion pounds of candy​ (excluding chewing​ gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301 million.

we know that
1 billion------------------> 1000000000 (Thousand Million)=1 x 10^9
then
6.3 billion pounds--------------> 6.3 x 10^9 pounds
[pounds of candy per person per year]=[6.3 x 10^9 pounds]/[301 x 10^6]

[pounds of candy per person per year]=20.93 pounds per person per year

[pounds of candy per person per month]=20.93/12=1.74 pounds per person per month

the answer is 1.74 pounds per person per month

Find two consecutive odd intefers whose product is 63

Answers

Two consecutive odd integers are known as back-to-back odd whole numbers; one right after the other.
For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63.
1 x 3 = 3; no
3 x 5 = 15; no
5 x 7 = 35; no
7 x 9 = 63; yes

From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.

I hope this helps!
Hello,

Let's assume 2n-1 the first integer
and 2n+1 the second.

(2n-1)*(2n+1)=64
(2n)²-1=64
4n²=64
n²=16
==>n=4 or n=-4
If n=-4 then 2n-1=2*(-4)-1=-9 and 2n+1=2*(-4)+1=-7
If n=4 then 2n-1=2*(4)-1=7 and 2n+1=2*(4)+1=9

(-9,-7) and (7,9) are the 2 solutions.




At the beginning of this month, the balance of Nelson's checking account was $856.23. So far this month, he has received a paycheck via direct deposit of $876.25, been charged a monthly service fee from his bank of $10.00, used a debit card linked to his account to make a purchase of $23.96, written a check for $104.22 that has already been deposited, and deposited a check written to him for $25.00. What is the current balance of Nelson's checking account?

Answers

$1,619.30

Hope this helps<3
Your answer is $1827.51 : I hope it's correct

Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the number of miles run, y.

(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)

Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the nearest tenth of a mile.

Answers

The answer is 4.6 in Engenuity

Answer:

4.6

Step-by-step explanation:

Riverside College had 4,439 students enrolled last year. Of those students, 1,049 graduated and left. If there are 1,110 new students this year, how many students are enrolled at Riverside College this year?

Answers

There is a total of 4,500 students enrolled.

Work:

4,439 - 1,049 = 3,390

3,390 + 1,110 = 4,500

The number of students  that are enrolled at Riverside College this year is 4500.

What are the number of students enrolled?

Using this formula

Number of student=(Riverside college students-Number of student left)+Number of new students

Let plug in the formula

Number of student=(4,439 - 1,049)+ 1,110

Number of student = 3,390+ 1,110

Number of student= 4,500

Therefore the number of students  that are enrolled at Riverside College this year is 4500.

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what number produces an irrational number when multiplied by 1/5

Answers

Final answer:

To produce an irrational number by multiplying by 1/5, the other number must be irrational, such as √2.

Explanation:

The student is asking which number, when multiplied by 1/5, produces an irrational number. To produce an irrational number by multiplication, the other number must itself be irrational. Because rational numbers multiplied by rational numbers yield rational results. A classic example of an irrational number is √2, which, when multiplied by 1/5, gives 1/5√2 or √2/5, both of which are irrational.

Is it possible for a composite number to have more than one prime factorization? Yes. I'm I right @dirtydan667

Answers

Is it possible for a composite number to have more than one prime factorization?The Answer is Yes. Prime factors are factors of a composite number that are indivisible except by the number 1 or the number itself. it is possible especially for very large numbers. 2&3. No, because as mentioned previously, the default prime factors of numbers are 1


Adjacent angles whose exterior sides are opposite rays are

Answers

Adjecent angles whose exterior sides are opposite rays are ...(supplementary)

Answer:

Adjacent angles whose exterior sides are opposite rays are "supplementary"

Step-by-step explanation: Theorem 3-2 states this fact

about how much air would fill a ball with a radius of 16cm

Answers

The volume of a sphere is given by [tex]V=( \frac{4}{3} ) \pi r^{3} [/tex]. Since the radius is 16cm we replace r with 16 to obtain: [tex]V=( \frac{4}{3} ) \pi (16)^{3}=( \frac{4}{3} )(4096) \pi = \frac{16384}{3} \pi [/tex] centimeters cubed.

That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)

The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft

Answers

the answer is c. hope this helps.

Find the simplified form of the expression. Give your answer in scientific notation. (4 x 10^10)(9 x 10^5) 3.6 x 10^4 3.6 x 10^49 36 x 10^5 3.6 x 10^6 and please explain

Answers

it's simple arithmetic.  The Answer is 604661760000000000000000000000000000000000000000000000000000000000000000000000000000 and in scientific notation
60466176 x 10⁸³

Yuma needs a singer. Singer A is offering her services for an initial $55 in addition to $20 per hour. Singer B is offering his services for an initial $85 in addition to $5 per hour. When will the two singers charge the same amount of money? The two singers will charge the same amount of money after :blank: hours.What is the answer to the blank.

Answers

Equation for Singer A: 55 + 20x
Equation for Singer B: 85 + 5x

Make the two equations equal to each other and solve for x.

55 + 20x = 85 + 5x
20x - 5x = 85 - 55
15x = 30
x = 30/15 = 2 hours.

Answer:
At 2 hours both singers will charge the same amount of price.

Answer Check:
Singer A Cost: 55 + 20 (2 hours) = $ 95
Singer B Cost: 85 + 5 (2 hours) = $ 95

Can you also explain how you solve it so i can do by myself:)



What is the sum of the first eight terms of the series?

(−500)+(−100)+(−20)+(−4)+(−0.8)+...



Round the answer to two decimal places if necessary.



−996.09
−625
−624.99
−623

Answers

the answer is -624.99. Its simply you just the -500 by 5 to get -100. and then you continue to divide by 5 until you get the 8th term then add all of them and you get the answer. I hope it helped you, sorry if you didn't understand. plz forgive me.

The correct answer is option c) 624.99

To find the sum of the first eight terms of the series: (-500) + (-100) + (-20) + (-4) + (-0.8) +..., we first need to recognize that this is a geometric series where each term is a constant multiple of the previous term.

The first term (a) is -500, and the common ratio (r) can be found as follows: [tex]r = \frac{-100}{\ 500} = \frac{1}{5} \ or\ 0.2.[/tex]

Geometric Series Sum Formula

The sum ([tex]S_n[/tex]) of the first n terms of a geometric series is given by the formula:

[tex]S_n = a * \frac{1-r^n}{1-r}[/tex]

Here, a = -500, r = 0.2, and n = 8.

Calculate [tex]r^n: (0.2)^8 = 0.000256[/tex]Calculate [tex]1 - r^n[/tex]: 1 - 0.000256 = 0.999744Calculate the denominator 1 - r: 1 - 0.2 = 0.8Apply the values in the formula: [tex]S_8 = -500 * \frac{0.999744}{0.8}[/tex][tex]S_8 = -500 * 1.24968[/tex][tex]S_8 = -624.99[/tex]

The sum of the first eight terms of the series, rounded to two decimal places, is -624.99.

The complete question is:

What is the sum of the first eight terms of the series?

(−500)+(−100)+(−20)+(−4)+(−0.8)+...

Round the answer to two decimal places if necessary.

a) −996.09

b) −625

c) −624.99

d) −623

Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem. A sign on the side of a van is in the shape of a parallelogram. The area of the sign is 330 square inches. The base of the sign is 22 inches long. What is the height of the sign?

Enter your answer in the box.

--------
[ ]
--------

Answers

The height of this specific sign is 15 inches. 
i think the height is 15/or 16

Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples. What should the second equation be?

d + g = 21

g – d = 21

0.75d + 1.25g = 21

0.75d – 1.25g = 21

Answers

I think the answer would be 0.75d + 1.2g = 21 good luck!

The second equation, representing the total cost of both apples as 0.75d + 1.25g = 21.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples.

Assume that the number of Delicious apples are (d) and Golden Delicious are (g) apples.

We can write the second equation as -

0.75d + 1.25g = 21

and the first equation as -

d + g = 22

Therefore, the second equation, representing the total cost of both apples as 0.75d + 1.25g = 21.

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BRAINLIESTTT ASAP!

The function f(x) = –x^2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)

Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

Answers

f(x)=y=-x^2+60x-116
y+116=-x^2+60x
y+116=-1(x^2-60x)
y+116-900=-1(x^2-60x+900)
y-784=-1(x-30)^2
y=-1(x-30)^2+784
we know that 
h=-b/2a
h=-60/(-2*1)
h=30
k=-30^2+60(30)-116
k=784

the vertex is at (30,784) this means that the point of symmetry of the parabola is at (30,784), in our context it means that the maximum number of windshields repaired is 30 and the minimum profit will be $784

Part B
x-intercept
to determine the x-intercept we let f(x)=0
thus
0=-2x^2+60x-116
solving for x we get:
x=2 and x=58
this means that when the shop repairs 2 windshields or 58 windshields, they will not make any profits


(1.3t3 + 0.4t2 – 24t) – (0.6t2 + 8 – 18t)
What is the additive inverse of the polynomial being subtracted?

Answers

To solve this problem you must apply the proccedure shown below:
 1. You have that the the polynomial being subtracted is 0.6t²+8-18t, therefore,  to find the additive inverse of the polynomial, you must multiply it by -1, as following:
 (0.6t²+8-18t)
 (-1)(0.6t²+8-18t)
 2. Therefore, you obtain the following result:
 -0.6t²-8+18t
 Then, tas you can see, the  answer is -0.6t²-8+18t.

Answer:

The first one is B then the second is B and the third question is D

Step-by-step explanation:

What is the exact volume of the sphere? 36.868π m³ 94.46π m³ 147.456π m³ 463.01π m³ Sphere with dotted line extending from middle point of sphere to edge. Line is labeled four and eight-tenths meters.

Answers

80% sure it b 94.46π m³

The solution is Option C.

The volume of the sphere is given by the equation V = 147.456π m³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be represented as V

Now , the equation will be

Let the radius of the sphere be r

The value of r = ( 4 8/10 ) m

So , the radius of the sphere = 4.8 m

Now , Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation , we get

Volume of Sphere V = ( 4/3 ) π ( 4.8 )³

On simplifying the equation , we get

Volume of Sphere V = ( 4/3 ) π ( 110.592 )

On further simplification , we get

Volume of Sphere V = 147.456π m³

Hence , the volume of sphere is 147.456π m³

'

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A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting. Write an expression for the combined area of the painting and frame

Answers

The frame will go around all 4 sides of the painting.  That means that the length of each side of the painting will increase by 2.5 inches.  The height, h, will now be h + 5 (2.5  inches on the top and the bottom).  The width, 2h + 3, will now be 2h + 3 + 5 (again, 2.5 inches on the top and the bottom).  The area would be given by 
(h + 5)(2h + 3 + 5) = (h + 5)(2h + 8)
Multiplying this, we have:
h*2h + h*8 + 5*2h + 5*8 = 2h² + 8h + 10h + 40 = 2h² + 18h² + 40

Which box and whisker plot shows the scores of ten students on a mathematics exam? 89, 78, 93, 90, 75, 81, 91, 80, 89, 79.

Answers

first you got to put them too--- least to greater --- then star with lowest ### the that will be Q1=75   Q2=81    Q3=91   the last one will be highest ### for Q4 93

this is my educated guess not for sure so don`t get mad ..........

Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.

Answers

I'm assuming that you want this:
literally everything is the same except for the side lengths
ex. angle measurements, orientation, some other stuff I can't think of right now.

Can someone help and explain this to me please...?

Answers

Answer:

[j, k] →[9, 5]

[g, h] → [4, 2]

[x, y] → [−4, −4]

Step-by-step explanation:

{4j - 2k = 26

{5j - 2k = 35

−⅘[5j - 2k = 35]

{4j - 2k = 26

{−4j + 1⅗k = −28 >> NEW EQUATION

________________

−⅖k = −2

_____ ___

−⅖ −⅖

k = 5 [Plug this back into both equations above to get the j-value of 9]; 9 = j

__________________________________________________________

{6g + 8h = 40

{−6g + 2h = −20

________________

10h = 20

h = 2 [Plug this back into both equations above to get the g-value of 4]; 4 = g

__________________________________________________________

{4x - 9y = 20

{2x - 6y = 16

−½[4x - 9y = 20]

{−2x + 4½y = −10 >> NEW EQUATION

{2x - 6y = 16

_________________

−1½y = 6

______ __

−1½ −1½

y = −4 [Plug this back into both equations above to get the x-value of −4]; −4 = x

** Tip: Keep using the Elimination Method until you really have to use the Substitution Method. Use the Substitution Method only when one variable is given to you in one of or both equations, meaning that at least one of the equations has to be in Slope-Intercept Form [y = mx + b].

I am joyous to assist you anytime.

The length of a rectangle is 4 m longer than its width. if the perimeter of the rectangle is 36 m , find its area.

Answers

Answer:   The area of the rectangle is:  " 77 m² " .

__________________________________________________________
Note:  The formula for the area, "A" of a rectangle:

 →  A  =  L  *  w   ;

                 in which:  
     A = "area (of rectangle)" ; [in units of "m² " ; that is:  "square meters" ] ; 
                                     
     L = length = "(4 + w)" {in units of "meters (m)" } ;  
             
     w = width  {in units of "meters (m)" } ; 
_______________________________________________________

So;  " A = L * w " ;  

Substitute the known expression for the "length, L" ;  & rewrite the formula for the given area of OUR area for the rectangle in OUR GIVEN PROBLEM:

              →  A = (4 + w) * w '' ;
______________________________________________________

Note the formula for the perimeter, "P" ; 

 →  P = 2L + 2w  ; 

↔   2L + 2w = P 

 →  2L + 2w  = 36 m ;
_____________________________________________________
We want to find the "area" , "A" :
_____________________________________________________
Using the formula for the "perimeter, "P" (of the rectangle) ; & given that the perimeter is:  "36" (meters) ;  

 →  2L + 2w  = 36 ;

 →  Let us plug in the values for "Length (L)" & "width (w)" ; 

 →  2(w + 4)  + 2w = 36  ; 

So;   (2*w) + (2*4) + 2w = 36 ;  Solve for "w" ;

    →  2w + 8 + 2w = 36 ; 

    → Combine the "like terms" :

         + 2w + 2w = 4w ; 

   →  And rewrite: 

         4w + 8 = 36 ; 

Now, subtract "8" from EACH SIDE of the equation:

         4w + 8 − 8 = 36 − 8 ; 

to get: 

         4w = 28 ; 

Now, divide EACH SIDE of the equation by "4" ; 
      to isolate "w" on EACH SIDE of the equation ; & to solve for "w" ; 

         4w / 4 = 28 / 4  ; 

           → w = 7 ;   → The "width" of the rectangle is:  " 7 m " .

Now, we can find the "length" of the rectangle:

The length, "L" , of the rectangle = 4 + w = 4 + 7 = 11 .
      
           →  L = 11 .  →  The "length" of the rectangle is:  " 11 m " .
___________________________________________________
 
Now, we can find the area, "A", of the rectangle.

 A = L * w  =  11 m * 7 m  =  " 77 m² " .

  →  The area of the rectangle is:  " 77 m² " .
__________________________________________________

To check our answer:
__________________________________________________
 
→  " P = 2L + 2w "  ; 

Given that "P = 36 m" ; 

Plug in "36 m" (for "P") ; into the equation ;

and plug in our calculated values for
                        "length, L" (which is "11 m") ; & "width, w" (which is "7 m") ; 

to see if the equation holds true ; that is, to see if both sides of the equation are equal ;
_______________________________________________________  

 →  36 m = ?  2L + 2w ?? ;

 →  36 m = ?  2(11 m) + 2(7 m) ?? ; 

 →  36 m = ?  22 m + 14 m ?? ; 

 →  36 m = ?  36 m ?  Yes! 
__________________________________________________

The process involves setting up an equation using the given perimeter and the relation between length and width, solving for width, then calculating length and subsequently the rectangle's area, resulting in 77 square meters.

The question involves finding the area of a rectangle given the relationship between its length and width, and its perimeter. First, let's represent the width as w meters. Therefore, the length will be w + 4 meters, since the length is 4 meters longer than the width. The perimeter of a rectangle is calculated as 2(length + width). Given the perimeter is 36 meters, we can set up the equation: 2(w + w + 4) = 36.



Simplifying this equation gives 2(2w + 4) = 36, and further simplification results in 4w + 8 = 36. Solving for w, we subtract 8 from both sides getting 4w = 28, and divide by 4 to find w = 7 meters. The length, being 4 meters longer, is 11 meters.



Finally, to find the area of the rectangle, we multiply the length by the width: Area = length × width = 11m × 7m = 77 square meters. Therefore, the area of the rectangle is 77 square meters.

A limousine service charges $35 per day and an additional $0.75 per mile. Which of the following represents the number of dollars the limousine service will receive after a 12 mile ride? (A) (35 x 0.75) + 12 (B) 12 x (0.75 x 35) (C) 35 + (0.75 + 12) (D) 35 + (12 x 0.75) (E) (35 x 12) + 0.75

Answers

C because it lets you know that if you going one place 35$ then 12 x 0.75 will give you your total

Please help me !! Thanks !

Answers

The answers are the second, third, fifth, and sixth.

Hope this helps!

helppppppppppppppppppppppppppppppppp

Answers

The given result matches the description in the 4th selection.
((x ^ 12) / (x ^ -3)) ^ 5
 By doing the correct simplification we have:
 ((x ^ 60) / (x ^ -15))
 (x ^ 75)
 Therefore the error is:
 answer:
 He divided the exponents instead of subtracting them.
 option 4

Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

I don't understand what I'm suppose to be doing here.

Answers

Let’s say we have a starting point (0,0), the point (4,3) are distance apart at 90 degrees, hence the hypotenuse to those two distance will be 5. Therefore sin q = 4/5.

what is the approxmate area of the figure

plz look at picture and answer right will give brainlist and 20 extra points

Answers

Since the diamater of the two half circles is 5 ft. the area of those combined would be: pi * r ^2 = pi * 2.5^2 = 19.6349540849 (almost 20)

And the area of the rectangle would be 5 * 15 = 75

So.. the approximate area of the figure would be 75 + 20 = 95
Hey !!

Check the attachment.
Hope it helps you :)

Quadrilateral ABCD undergoes a series of transformations to become A’’B’’C’’D’’. If the first transformation is a reflection over the y-axis, what is the coordinate of C’? What transformation occurs after the reflection over the y-axis that results in the final image?

Answers

C' (-6,3)
A 90 degree rotation counterclockwise around point A'

Quadrilateral ABCD undergoes a series of transformations to become A’’B’’C’’D’’.

The first transformation is a reflection over the y-axis.

The coordinate of C’ would be (-6,3) in this case.

If the image is rotated counter clock wise around the point A then it will result in the final image which is presented in the attached figure.

Hope this helps ..!!

Thank you :)

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