Solve the equation 6(2x + 4)2 = (2x + 4) + 2.

Answers

Answer 1

Answer:

-21/11

Step-by-step explanation:

Answer 2

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First I would distribute what I can...

[tex]6(2x+4)2=(2x+4)+2\\24x+48=2x+4+2[/tex]

Now we combine like terms...

[tex]24x+48=2x+6[/tex]

Subtract 2x from both sides...

[tex]22x+48=6[/tex]

Subtract 48 from both sides...

[tex]22x=-42[/tex]

Divide both sides by 22...

[tex]x=-\frac{21}{11}[/tex]

So the answer is [tex]-\frac{21}{11}[/tex]


Related Questions

A truck traveling East at a velocity of 40.0 m/s comes to a complete stop. How much time it will take for the truck to stop if it decelerates at -5.0 m/s2

Answers

8 seconds I think ?.?.??.?.?.?.?.

which of these numbers has the most factors? 6:
17:
25:
36:

Answers

Answer:

36

Step-by-step explanation:

36 is correct answer.

Bruce bought two books. One book costs $4.00 more than three times the other. Together, the two books cost him $72.

Answers

Step-by-step explanation:

The variables can be represented as x and y for the two books.

y=3x+4

x+y=72

Use substitution or elimination to solve the problem. I would personally go with substitution, but its all personal preference.

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answers

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

Each baseball hat costs the same amount of money. The cost for 18 baseball hats was $216. What is the unit price?

Answers

Answer:

15%

Step-by-step explanation:

if u did the 216 divided by the 18 then that's how u get estimated number

solve the inequality p + 4 ≥ -10​

Answers

Answer:

p ≥ -14

Step-by-step explanation:

Subtract 4 from both sides.

-10 - 4 = -14

This could also be written as -10 + (-4)

p ≥ -14

Hope this helped :)

Please consider Brainliest :)

C. The King football team ordered 50 hats. The cost of shipping was
$6.50. If King spent $256, how much was each hat?

Answers

The answer is $4.99 each

help pls ?? anyone ?? :(

Answers

7.  yes

8. yes

9. no

10. no

b because it just is i took this

Line AB is 14 inches long. What is the approximate area of the circle?






615.44 inches
21.98 inches
153.86 inches
43.96 inches

Answers

Answer:

The third one is closest

Step-by-step explanation:

half of the diameter=the radius 14/2 = 7 and the formula for the area of a circle is r^2π so 49 × π is 153.93804

12) Which name we can give to these triangle

Answers

Answer:

The first one is isosceles and the second one is scalene.

This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.

Answer:

obtuse triangle and scalene triangle (sana nakatulog sayo)

Linda makes necklaces to sell to her friends. She can make
27 necklaces in 3 hours. How many necklaces can she
make in 5 hours?

Answers

Answer:

mark brainlest45

Step-by-step explanation:

in one hour she can make 9 ( 27 divided by 3)

so in 5 hours 45 bc 5x9 is 45

3. 100x2-36y2 ??
ito pa guys pleasedddd!!

Answers

Answer:

4(5x - 3y)(5x + 3y)

Step-by-step explanation:

Assuming you require the expression factored.

Given

100x² - 36y² ← factor out 4 from each term

= 4(25x² - 9y²) ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

25x² - 9y²

= (5x)² - (3y)² ← with a = 5x and b = 3y

= (5x - 3y)(5x + 3y)

Thus

100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form


If you divided $63.65 evenly among five children, how much would each
child get?

Answers

Answer$12.73

Step-by-step explanation:

$63.65/5(children) = $12.73

Answer:

$12.73

Step-by-step explanation:

$63.65/5=$12.73

someone help with this ASAP I HAVE FEW MINS !!!

Answers

Answer:

Symmetric

Step-by-step explanation:

Consider the pairs of ratios given and determine whether or not the ratios form a proportion 8 old rings for every 1 ring 16 old rings for every 2 rings A) Yes B) No Save​

Answers

Answer:

b

Step-by-step explanation:

Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) a A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin b A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin c A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right d A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Answers

Answer:

Answer is A. I get it right. :3

Answer:

a

Step-by-step explanation:

John is trying to solve for y, but he made a mistake. Where did John mess up? What did he do wrong? Step 1: 2 - 3(y- 1) = 6 Step 2: -1(y- 1) = 6 Step 3: -y+1= 6 Step 4: -y = 5 Step 5: y = -5 Step 2; he combined the 2 and -3 before he distributed O Step 3; he did not distribute the -1 correctly Step 2; he did not combine the 2 & -3 correctly. Step 4; he should have added the 1 to 6, not subtracted it Step 3; he should have added 1 to both sides.​

Answers

Answer:

Step 4!!!

Step-by-step explanation:

Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?

Answers

Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

Hence, the greatest number of books Barnes and Noble can pack in each box = 2

Natalie wants to grow it 4 in. Longer than it is now. She knows that hair grows at an average rate of 15 cm/year. How many more months will she wait to have her hair cut? (1 cm ≈ 0.39 in.) Question 1 First, you will need to convert the rate of 15 cm/year to inches per month. Which two conversion factors should you use? Select all correct answers.

Answers

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month

As 1 cm ≈ 0.39 in.,

[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

if h(z)=2z2-5z+7, find h(3c)

Answers

Answer: h(3c) = 18c2 - 15c + 7

Step-by-step explanation:

h(z) = 2z2 - 5z + 7

To find h(3c), replace each z with 3c.

h(3c) = 2(3c)2 - 5(3c) + 7

Now just simplify.

h(3c) = 2(9c2) - 5(3c) + 7

h(3c) = 18c2 - 15c + 7

See attachment for math work and answer.

400.34 + 678.397
210

Answers

Answer:

1078.73721

Step-by-step explanation:

Help!
A volcano on a discovered planet rises to a height of 19.529 mi.
Use the table of facts to find the height of the volcano in feet.
Round your answer to the nearest tenth.

Answers

Answer:

103, 110 ft

Step-by-step explanation:

4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5

Answers

Answer:

c

Step-by-step explanation:

c

Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?

Answers

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

[tex](x,y)\to (-x,-y)[/tex]

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

Consider the equation and its solution. 8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. X = 10. Which property is used in the last step to find that x = 10? Distributive property addition property of equality subtraction property of equality division property of equality

Answers

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

Worth 30 points.

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

the square root of x minus 3 plus five equals x.

Picture of question and equation attached.

Answers

Answer:

x=7 valid solution

x=4 extraneous solution

Step-by-step explanation:

sqrt( x-3) +5 = x

Subtract 5 from each side

sqrt( x-3) +5 -5= x-5

sqrt( x-3)  = x-5

Square each side

(sqrt( x-3))^2 = (x-5)^2

Foil the right side ( x-5)(x-5) =x^2 -5x-5x+25 = x^2 -10x+25

x-3 = x^2 -10x+25

Subtract x from each side

-3 = x^2 -10x -x+25

Add 3 to each side

0 = x^2 -11x +25 +3

0 = x^2 -11x+28

Factor

0 = (x-7)(x-4)

Using the zero product property

x-7 =0  x-4=0

x=7  x=4

Check the solutions

sqrt( x-3) +5 = x

x=7

sqrt( 7-3) +5 = 7

sqrt(4) +5 = 7

2 +5 = 7  valid solution

x=4

sqrt( 4-3) +5 = 4

sqrt(1) +5 = 4

1 +5 = 4    not true   extraneous solution

DO NOT AWNSER IF YOU DON'T KNOW
WILL GIVE BRAINLIEST, LIKE, COMMENT, AND 10 POINTS
Could you please help me with this question and explain thoroughly?

Answers

Answer:

Please don't hold me to this. I think I'm right, but I'm rusty.

Step-by-step explanation:

Constant of proportionality is how much the graph grows for each increasing x value. Slope.

Also remember, rise over run.

Slope: 2nd y- 1st y

           2nd x-1st x

y=mx+b

A) 4.95-3.75      =            1.2                 =            about $0.09 per ounce (x=0.9)

    24-10                          14

For every 14 oz, the cost goes up $1.2.

B) 360-150        =            210               =                  15 calories per ounce (x=15)

     24-10                          14

For every 14 oz, there are 210 calories in the drink.

Write the product as a power.
5 X 5 X 5 X 5 =

Answers

Answer:

4 that is the answer...........

5

Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?

Answers

Answer:

[tex]280 \: dollars[/tex]

Step-by-step explanation:

[tex]3500 \times .08 = 280[/tex]

Simple as that ^^^ Just find 8% of 3500

280,00$

8% of 3500$ equals to

(8/100)*3500=

280,00$=

The total cost after tax to repair Deborah's computer is represented by 0.09(60h)+60h, where h represents the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax Deborah has to pay? Explain.

Answers

Answer:

0.09(60h)

Step-by-step explanation:

The part that represents the tax is 0.09.

This is because, we can rewrite the sum as;

Amount of tax + Total cost for the number of hours

Now, the amount of tax can only be a percentage of the total

We can write 0.09 as 9/100

This can be interpreted as 9% of the total amount

So therefore we can rewrite the amount as;

9% of 60h + 60h

So the part that represents the amount of tax Deborah has to pay is 0.09(60h)

Other Questions
Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. Howmuch money did she have left after buying the DVD? 1.How does water behave when it freezes? QUICKKKKHindu's believe that the world is all part of what all-powerful spiritual force?VishnuShivaBrahmanKrishna Please help I really need it why did small states prefer the jersey plana.it provided for a bicameral legislature with no executive b.it called for the election of the president by popular vote as opposed to the electoral collegec.it gave them the same power as the states with larger population it called for vote by populationsD.it called for vote by population which aid the smaller states how has limiting factors for the ecosystem impacted pythons in the everglades Expand 3x(x^2 5x + 6) what is 0.72 equivalent to? Select the values that correctly complete the problem. a = b = c = d = e = what is 100,000+100,00 Which of the following is not true concerning warm up exercises a they should be low intensity B they should get progressively more intense see they should last 20 to 30 minutes they said increased heart rate breathing and temperature which one is it please I need a answer Why does Angela think Frank is rejected from becoming an altar boy? (in book: Angela's Ashes)A.She ascribes it to class distinction and social prejudice.B.She insists that Frank did not know enough Latin.C.She thinks it is because Frank is too fragile and weak.D.She believes the clergy is trying to drive her and her children out of Ireland.E.She thinks Malachys reputation as an alcoholic has blighted Franks prospects. What is another term for the limbic system?:A. primitive brainB. logical brainC. gender centerD. memory center Quadrilateral WXYZ with vertices W(-6, 7),X(-3, 6), Y(-1,3), and Z(-7,1): 180Get wxyz Do you think your meal would allow your cells to sufficiently build your cellmembranes? Why or why not? Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based onher past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that thefirst light is red, and let R2 denote the event that the second light is red.a) Determine the probability that at least one light will be red. (Show how you calculate this.) b) Determine the conditional probability that the second light will be red given that the first light isred. (Show how you calculate this.)c) Are the events R1 and R2 independent? Justify your answer numerically.d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically. Why don't judges have to please voters? Help please!!Based on what you've learned about flight engineers, of each of these possible characteristics a flight engineer mightpossess, which of these would be least useful to this specific profession?O experience dealing with instruments in bad weatherskill with onboard computer systemsthe ability to stay focusedo experience with instruments and gauges Enter the correct answer in the box.What is the factored form of this expression?64x^3 - 125Write all factors in standard form. the setof whole number less than 20