For what values of x does the following hold true: (4x+7)^2=(7x+4)^2

Answers

Answer 1

Answer:

x=1,x=-1

Step-by-step explanation:

(4x+7)^2=(7x+4)^2

16x^2+56x+90=49x^2+56x+16

16x^2+56x+49-49=49x^2+56x+16-49

16x^2+56x=49x^2+56x-33

16x^2+56x-56x=49x^2+56x-33-56x

16x^2=49x^2-33

16x^2-49x^2=49x^2-33-49x^2

-33x^2=-33

x^2=1

x=1,-1


Related Questions

what is the volume of the prism?

Answers

Step-by-step explanation:

6 Determine the equation of the line shown
in the graphi.
5
3
HH
ti-
2
2
B
6

Answers

Check the picture below.

2 hours 37 minutes before 3:27 p.m?​

Answers

Huh? What are you talking about?

Answer:

12:50

Step-by-step explanation:

What is the slope of the line

Answers

Answer:

the slope is -2

Step-by-step explanation:

(1,0) (0,2)

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

[tex] \frac{2 - 0}{0 - 1} = - \frac{2}{ 1} = -2/tex]

Calculate the slope of a line with a run of 3 and a rise of 9.

Answers

Answer:

Slope = 3

Step-by-step explanation:

Slope is calculated as the "Rise/Run" of a straight line.  The Rise is the change in the value of y, or the amount y changes per change in x.  Run is the change in the x value.  A line with a run of 3 and a rise of 9 is calculated as:

Rise/Run = 9/3 or 3

This means that the value of y will increase by 3 for every increase of 1 in the value of 3.

Slope in "m" in the slope-intercept form of a straight line equation:  y = mx + b

The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.

Example points (y = 3x + 2)

(0,2)

(1,5)

(4,14)

Note that y changes by 12 when x changes by 4.  Rise/Run = 12/4 or 3.

If RU=8, US= 14, TV=x-1, and VS = 17.5,
find x and TV.
S
V
R
T

Answers

Answer:

x = 11, TV = 10

Step-by-step explanation:

set up as proportion and cross multiply to solve:

14/8 = 17.5/x-1

x = 11

then apply to TV to find TV:

x - 1

11 - 1

= 10

find the slope intercept form 5x-3y=27

Answers

Answer:

5/3x - 9

Step-by-step explanation:

Y = mx + b is the slope intercept form of a line where m is the slope and b is the y intercept.

Convert to slope intercept :

y = 5/3x-9

Hope this helps, please mark brainliest if possible :D

Answer:

y= 5/3 - 9

Step-by-step explanation:

5x-3y=27

-5x       -5x

-3y= -5x+27

divide all numbers by -3

(18) In the right triangle CDE, Angle E
measures 47° and the right angle is at
vertex C. Find m Angle D.

Answers

Answer: 43 degrees

Explanation: All of the angles inside of a triangle add to equal 180 degrees. All you have to do is subtract the two angle measures from 180 degrees to get the answer.
180-90-47=43 degrees

Suppose that a duck swam 22.5 kilometers in 5 hours at a constant speed how far did the duck travel

Answers

22.5 km divided by 5 hours equals a constant speed of 4.5 km per hour.

Answer:

4.5 = x

Step-by-step explanation:

Given:

22.5 = 5x

(we need to find out what x is)

22.5 / 5 = 4.5

meaning that the duck traveled at 4.5 kilometers per hour.

Check:
4.5 x 5 = 22.5

the length of a rectangle is 5ft longer than its width. if the perimeter of the rectangle is 62 ft, find its length and width.

Answers

Answer:

width: 13, length: 18

Step-by-step explanation:

13 + 13 + 18 + 18 = 62

18 - 13 = 5

Finding the total COS
wing ldx Umid
A bicycle has a listed price of $808.98 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales
tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$879.76575 --> $880

Step-by-step explanation:

$808.98 × 0.0875 = $70.78575 <-- this represents the additional sales tax

$808.98 + $70.78575 = $879.76575 <-- add sales tax to original price

For what values of x will the function f(x) = 7x ^ 2 + 27x - 4 equal zero?

Answers

In quadratic equation, x = 1/7, -4 are the values of x will the function f(x) .

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. 

f(x) = 7x² + 27x - 4

       = 7x² + ( 28 - 1 )x - 4

       = 7x²  + 28x - x - 4

        = 7x( x + 4) -1( x + 4 )

         = (7x - 1 ) ( x + 4)

     7x - 1 = 0

        x = 1/7

   x + 4 = 0

        x = -4

Learn more about quadratic equation

brainly.com/question/30098550

#SPJ1

"The product of a number and -8, decreased by
13 is less than or equal to 27."

Answers

Answer: less than

So you have:

-8n - 13 ≤ 27Now, solve for n:

-8n -13+13 ≤ 27 + 13-8n ≤ 40

Now, to divide both sides by a negative number (-8), you must change the inequality to ≥

-8n/-8 ≥ 40/-8n ≥ -5

Find the missing value.
Hint: Use the number line to find the missing value.
-3 =−3=minus, 3, equals
-11−11minus, 11






Answers

Answer:

8

Its 8 because if you subtract 11-8 you get -3.

Answer:

person above is wrong the correct answer is 3 on Khan academy

Step-by-step explanation:

I need Exactly 1 more brainliest to level up!

A store pays for an $8 shirt and marks the price up by 70%. What is the amount of the mark-up?

Answers

Answer:

$5.60

Step-by-step explanation:

70% of 8 = 5.6

8 + 5.6 = 13.6

The price of the shirt is $13.60 but the amount of the mark up is $5.60

Ivana Chase has a gross monthly income of $5,400. She pays 16% in federal and state taxes, puts aside 12% of her income to pay off her school loan, and puts 5% of her income aside for savings. She is considering an apartment that will rent for $1,700 per month. How much will remain after she pays for the rent and other expenses?​

Answers

Answer:

$82

Step-by-step explanation:

let's start by finding (16+12+5)% of 5,400

33% of 5,400 is 1,782

now lets subtract 1,700 from 1,782

=$82

50 POINTS!! Please help ASAP!!!

Answers

Answer:

A. [tex] 6^{\frac{1}{12}} [/tex]

Step-by-step explanation:

[tex]\dfrac{\sqrt[3]{6}}{\sqrt[4]{6}} = 6^{\frac{1}{3} - \frac{1}{4}} = 6^{\frac{4}{12} - \frac{3}{12}} = 6^{\frac{1}{12}}[/tex]

Answer: A. [tex] 6^{\frac{1}{12}} [/tex]

help 9 grade k12



Explain why you cannot factor the trinomial x2−15x+3
Question 8 options:

There are no factors of -15 that add up to 3.


It can be factored


There are no factors of 3 that add up to -15

Answers

Answer:

There are no factors of 3 that add up to -15

Step-by-step explanation:

the only factors of 3 is, 1 and 3.

How can 10% of 82 be used to determine 60% of 82? Enter your answers in the boxes to correctly complete the statement. 10% of 82 is , so 60% of 82 is .

Answers

Answer:

To find one tenth of a number, simply divide it by 10 . The easiest way to do that is to : cross off a zero at the end if there is one. move the decimal one place to the left.

Please help me anyone I need help with this question ​

Answers

Answer:

  (d)  2x +y = 8

Step-by-step explanation:

The answer choices are shown in "standard form," so the comparison to the given equation is easier if it is written in standard form. Add 2x to both sides:

  2x +y = 5 . . . . . . given equation in standard form

The other equation in a system with no solution will look like this, but will have a different constant:

  2x +y = 8 . . . . . . does not intersect the given equation

_____

Additional comment

All of the other equations shown will intersect the given equation. One way to show this is to use the given equation to substitute for y in the answer choices:

  a: 2x -(-2x+5) = 8   ⇒   6x -5 = 8 . . . one solution: x=13/6

  b: x +2(-2x+5) = 8   ⇒   -3x +10 = 8 . . . one solution: x=2/3

  c: x -2(-2x+5) = 8   ⇒   5x -10 = 8 . . . one solution: x=18/5

  d: 2x +(-2x+5) = 8   ⇒   5 = 8 . . . no solution

The students in PE class were lined up in rows for a game. The first row had 15 children, the second row had 14 children, the third row had 13 children, and the fourth row had 12 children. If the pattern continues, how many children will be in the sixth row?

Answers

Answer:

It should be 10 children in the sixth row

Step-by-step explanation:

fourth row had 12, fifth has 11 and sixth has 10 - (the pattern continues)

Help please I don’t know how to do this

Answers

Answer: 1) theater b- $4 per ticket theater c- $8 per ticket 2) small- $0.30 per oz. medium- $0.25 per oz. large- $0.20 per oz. 3) store a- $16 per shirt store b- $6 per shirt store c- $4 per shirt 4) can- $0.05 per oz. bottle- $0.09 per oz. cup- $0.10 per oz. 5) laundromat a - $2 per load laundromat b- 3$ per load laundromat c- $3 per load 6) tide- $0.19per load gain- $0.21 per load purex- $0.17 per load 7)McDonald's- $1.19 per burger Wendy's- $2.99 per burger Burger King- $1.05 per burger 8) McDonald's- $0.30 per oz. Wendy's- $0.46 per oz. Burger King- $0.25 per oz.

Step-by-step explanation:

To find the answers all you need to do is dive the total cost by the number of items.

Please help me pleaese please

Answers

you probably need to simply it is 2/3

Answer:

3/2

Step-by-step explanation:

When you look at the problem, it starts off with 6. Then it states 4. That makes 6/4. Now when you simplify that, you get 3/2 because you can take out 2 in the numerator and denominator. I'm not completely sure if this is right, it's honestly a guess...

How much Water do you add to make each concentration 1% sugar syrup using 12 g sugar I saw the other answers were 33 but they were incorrect please help me

Answers

Answer:

1188 grams

Step-by-step explanation:

You want the 12g of sugar to be 1% of the whole solution.

So, say you add  grams of water. The solution will be composed of 12 grams of sugar and  grams of water, for a total of  grams.

So, the ratio "sugar/total" will be

and we want this ratio to be 1%, i.e. 1/100:

Multiply both sides by 100 and  to get

Subtract 12 from both sides:

So, a solution composed of 1188 grams of water and 12 grams of sugar will be 99% water and 1% sugar.

Answer: 1188 grams of water

Step-by-step explanation:

Sugar = 1% = 12

Whole = 100% = 12·100 = 1200

Water = 99% = 1200 - 12 = 1188

You Need 1188 Grams Of Water To Make The Solution 1% Sugar

Find the area 9ft 15ft 11ft ​

Answers

Answer:

[tex]A_{total} = 132\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the rectangle

[tex]A = l * w[/tex]

[tex]A = 9\ ft * 11\ ft[/tex]

[tex]A = 99\ ft^2[/tex]

Step 2:  Determine the area of the triangles

[tex]A = \frac{h * b}{2}[/tex]

[tex]A=\frac{(15\ ft - 9\ ft)*(11\ ft / 2)}{2}[/tex]

[tex]A=\frac{6\ ft * 5.5\ ft}{2}[/tex]

[tex]A = 16.5\ ft^2[/tex]

Since we found only one of the right triangles we need to multiply the area that we got by 2 to get the total triangle area.

[tex]A = 16.5\ ft^2 * 2[/tex]

[tex]A = 33\ ft^2[/tex]

Step 3:  Determine the total area

[tex]A_{total} = 99\ ft^2 + 33\ ft^2[/tex]

[tex]A_{total} = 132\ ft^2[/tex]

Answer:  [tex]A_{total} = 132\ ft^2[/tex]

PLS HELP! WILL AWARD BRAINLIEST

Answers

Answer:

5 ft

Step-by-step explanation:

Use Pyth theorem

3^2 + b^2 = 6^2

9 + b^2 = 36

b^2 = 25

b = 5

Plz mark brainliest

Could anybody solve this by any chance? Thanks

Answers

x=y-0.5y

simplify

x=0.5y

times two on both side

2x=y

y=2x

only in first quadrant because ticket cannot be negative

A local high school is raffle off a college scholarship to the students in its junior class, If a girl has a 0.55 chance of winning the scholarship and 154 of the juniors are girls, how many of the juniors are boys? (Assume that every junior has an equal chance to win.)

Answers

Answer: 126

Step-by-step explanation:

55% of student population is girls

if there are 154 girls then
0.55x = 154, where x represents school population

x=280

assuming the school only has boys and girls, anyone that's not a girl must be a boy, so

boys = 280 - 154 = 126.

if the school is not only boys and girls,

there will be 126 or less boys

You earn $85.60 each week for mowing lawns. Each week, you spend $20.25 on gas and save $25.75. How much money do you have left Over each week?​

Answers

Answer:

$39.60

Step-by-step explanation:

calculator.

Answer:

39.60

Step-by-step explanation:

Just subtract 20 . 25 and 25.75 over 85.60

Solve and graph the linear equation below.

x + 4y = 8

I just want to double check if I’m correct, I believe the slope would be (8,0) & (-2,0)

Thanks.

Answers

20. Bc when u solve, you should get x +47=8
Other Questions
state the oxidation number of S in [tex]H_{2}SO_{3}[/tex]thankyou ~ What are the two types of muscle fibers? a. type 3 and type 4 b. type 2C and type 2D c. fast-twitch and slow-twitch d. short-twitch and long-twitchplease help!! reporting not reasonable answers! PART A: How does the comparison of "Two and a Half Men" to "The Cosby Show" in paragraph 6contribute to the idea of cultural fragmentation?A.It illustrates how divided our attention to different media has become as more options have become available.B.It suggests that modern shows are more difficult for all ages to relate to due to more "adult" themes.C.It reveals the lack of community felt among Americans as a result of having fewer cultural experiences in common.D.It explains the reason behind the comedic sitcom's decline, as cultural interests become more varied. Amy has 27 pounds of raisins. She divides the raisins equally into 12 bags.How many pounds of raisins are in each bag? Tell how many zeros you had to write at the end of thedividend to solve.Each bag haspounds of raisins. You had to writezeros at the end of the dividend. Please help. I dont know how to solve this as there is no angle provided. Ocupo ayuda me urge :( Jared is tiling his kitchen. He wants to buy tile at the cheapest price. The local hardware store sells tile for $5.27 per square foot of tile. The cost at the mega hardware store is shown in the graph. There is a proportional relationship between the number of tiles bought and the cost of the tiles. What is the cheapest price Jared will pay for 100 square feet of tile The lines represented by the equations 12y 8x = -72 and y = 2/3 x 3areperpendicularparallelthe same lineneither parallel nor perpendicular Mr. Davis rented a car for $29 per day plus $0.15 per mile. If he kept the car for 3 days and drove 180 miles, what was his total rental cost? There are 25 packsof rib-eye steaks ondisplay at a supermarket.If each pack weighs 2.5pounds, how manypounds of rib-eye steaksin total are available forsale at the supermarket Can anyone tell me whats the answer?? if u answer this right I will give brainiest. ;)It's a trick question I just want to give one out so if u answer with what im expecting you'll get it ;)and also 100 points ;)) Peter does 3,000 joules (J) of work by moving an object 40 meters (m). What is the force that Peter applies to the object? A 75 N B 2,960 N C 3,040 N D 120,000 N What drew the Greek poleis together and what kept them apart? 13. The scarecrow sagged on the pole. The corn reached for the heavens. A man dressed in gray was walking through the cornfield. The field rustled as he parted the spears. Soon he reached a breach in the field. A road cut across the landscape. The man in gray began walking down the road toward the sun. He walked to a farmhouse and knocked on the door. A man in a white shirt opened the door. "May I help you?" the white shirted man asked. The man in gray responded, "My name is Julius Cornwall. I've travelled from the future to deliver a message to you." Narrator's Perspective: Explain how you know: You have just completed an online time management course. Write an e-mail to your teacher, Mrs Bloom. In your e-mail: explain why you liked the course; give two reasons why other students should take it up; ask for another course that she would recommend to you. A family worked all day building a sandcastle on the beach. As they were building the castle they recorded the number of pails of sand thatwere used. In all, the creation used 20 pails of sand. Each pail was cylindrical in shape, had a radius of 5" and was 10" in height. How manycubic inches of sand were used in building the family's castle? (let pi = 3.14) What is the best explanation for extinction of various species?A. Dramatic Climate ChangeB. Survival of the FittestC. Disease Ridden Plants which of the following numbers is a rational number a. square root of 5 b. square root of 83 c. square root of 91 d. cube root of 125. A car accelerates from a standstill to 60 m/s in 10 seconds. Whats is the acceleration