Solve −x^2+4x=54.

x = -54

x = 2

x = 50

No real solutions

Answers

Answer 1

Answer:

x=(-4+√-200)/-2

x=(-4-√-200)/-2

Step-by-step explanation:

Answer 2

Answer:

No real solutions is correct

Step-by-step explanation:

−x^2+4x=54

Move 54 over

−x^2+4x-54=0

Pull out -2

-2(x^2-4x+54)

Solve for the factors

It must multiply to 54 and add to -4

There are no whole number answers.

Hope this helps! Please mark brainliest :)


Related Questions

23x6= blank+(3 x 6)

Answers

23x^6=()+(3x^6)=

We move all terms to the left:

23x^6-(()+(3x^6))=0

The value of the unknown in the algebraic equation is 120.

What is Algebra?

Algebra is the branch of mathematics, that deals with the representation of numbers and values with alphabets and symbols.

An algebraic equation is an equation containing an algebraic term in it.

From the given question,

Let the blank  be represented by x,

23 * 6 = x + (3 *6)

Multiply the numbers on the left side of the equation.

138 = x + (3 *6)

Multiply the expression inside bracket.

138 = x + 18

Solve the equation for x.

x = 138 - 18

x = 120

Learn more on algebra on:

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Jack threw 20 darts at a dartboard. 30% of his darts hit the bullseye. How many of his darts DID NOT hit the bullseye?

Answers

Answer:

  14

Step-by-step explanation:

The number that did hit the bullseye is ...

  0.30 × 20 = 6

So, the number that did not is ...

  20 -6 = 14

14 of Jack's darts did not hit the bullseye.

A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook using a decimal. Which number did the chemist write in the notebook?

-21.4 repeating
-21.3 repeating
-20.75
-20.34

Answers

Answer:

3rd option im positive

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I took the test

Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!

Answers

Answer:

a

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get

[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]

Barnes and Nobles buys a book for $14.25. They markup the price of the book by 35%.

Answers

Answer:

$19.24

Step-by-step explanation:

Take 14.25 times 1.35.

The markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

What is the markup rate?

The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.

Barnes and Noble buy a book for $14.25. They mark up the price of the book by 35%.

As per the question, we have

cost = $14.25

markup rate = 35% = 0.35

Let's x represent markup for the book,

markup rate = markup/sale price × 100%

35% = x / $14.25

0.35 = x / $14.25

x = $14.25 × 0.35

Apply the multiplication operation, and we get

x = 4.9875

So sale price = markup + cost

So sale price = $4.9875 + $14.25

So sale price = $19.237

Thus, the markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.

To learn about the markup rate click here:

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The answer to the volume of a sphere/hemisphere should only be written as a(n)

Answers

Answer:

Cubic unit.

Step-by-step explanation:

The answer to the volume of a sphere/hemisphere should only be written a cubic unit, because volumes depends on three coordinates to be defined, width, lenght and height, where each coordinates is a length itselft, which multiplied give a cubic length unit, due to the power properties.

For example, imagine that you have all three dimensions in meters, then the product would be [tex]m \times m \times m=m^{3}[/tex].

Therefore, the answer that completes the statment is cubic unit. A volume should be always written in cubic units.

Answer:

The answer to the volume of a sphere/hemisphere should only be written as a function of the radius.

Step-by-step explanation:

An hemisphere is half of a sphere. Its volume can be determined by dividing the volume of a given sphere by 2. The volume is the maximum space or capacity that a 3 dimensional object occupies.

volume of a sphere = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]

volume of an hemisphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]

In both cases, the volume is dependent on the value of radius.

The answer to the volume of a sphere/hemisphere should only be written as a function of the radius. Volume is measured in cubic units.

If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.

Answers

Answer:

  9

Step-by-step explanation:

The median is the average of the base lengths. Where "b" is the length of the other base, we have ...

  36 = (44 +b)/2

  b = 72 -44 = 28

We are told this is the same as 2x+10, so we have ...

  28 = 2x +10

  18 = 2x . . . . . subtract 10

  9 = x . . . . . . . divide by 2

The value of x is 9.

Jay earns $8 an hour when he works at his uncle’s store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncle’s store and v hours doing yard work for his neighbor?

Answers

Answer:

8u+9v

Step-by-step explanation:

Answer:

8u+9v

Step-by-step explanation:

j+ 12 =25 find the solution to equation algebtaically​

Answers

Answer:

j= 13

just subtract 12 from 25

Start by isolating the j.

Subtract 12 from both sides.

On the left, the 12 and -12 cancel.

On the right, 25 - 12 is 13.

So we have j = 13.

Write the equation of the circle graphed below

Answers

Answer: (x-1)² + (y-2)² = 6.25

Step-by-step explanation:

The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. The center of this circle is (1,2) and the radius is 2.5, so the equation of this circle would be (x-1)² + (y-2)² = 6.25

Answer:

(x-1)² + (y-2)² = 6.25

Step-by-step explanation:

Mia has a rectangle shape brownie. She cuts the brownie into 3 equal pieces.Which sentence is true ?

Answers

Answer:

The whole brownie is 3/3

Step-by-step explanation:

Hello!

This is a classic fractions exercise.

The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.

If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1

-Options-

The whole brownie is 1/3.

The whole brownie is 3/3.

The whole brownie is 2/3.

The whole brownie is 3/2.

I hope this helps!

What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet

Answers

Answer:

The answer is 10/36 or if you want to simplify, 5/18

Step-by-step explanation:

To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.

A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1211 males​ surveyed, 185 responded that they had at least one tattoo. Of the 1097 females​ surveyed, 130 responded that they had at least one tattoo. Construct a 90​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1 represent the proportion of males with tattoos and p 2 represent the proportion of females with tattoos. Find the 90​% confidence interval for p 1 minus p 2.

Answers

Answer:34%

Step-by-step explanation:I think this is right but I don’t really understand

Estimate the sum of 17.36 and 8.7 BY ROUNDNG TO THR NEAREST WHOLE NUMBER BEFORE ADDING...?

A.9

B.10

C.25

D.26

E. None correct

Answers

Answer:

D. 26

Step-by-step explanation:

We have to round to whole numbers before adding.

When approximating to whole numbers, if the number after the decimal is less than 5, you round down to 0 but if it is greater or equal to 5, you round up to 1.

17.36 ≅ 17

8.7 ≅ 9

Therefore:

17 + 9 = 26

Which is a good example of a shield volcano?
A. Mauna Loa
B. Mount Saint Helens
C. Mount Vesuvius
D. Kilimanjaro

Answers

Answer:

a. Manua Loa

Step-by-step explanation:

brainliest really needed!!

Answer:

A is your answer

Step-by-step explanation:

What is the quotient?
(6 * 108) = (1.5 x 10-4)
4 x 1012
4 x 104
4 x 10-32
4 * 10-2​

Answers

Answer:

The first choice.

Step-by-step explanation:

6 * 10^8 /  1.5 * 10^-4

= (6/1.5)  * (10^(8 - (-4))

= 4 * 10^12.

Answer:

4 x 1012

Step-by-step explanation:

What is 10,000 steps in feet

Answers

Answer: 10,000 steps is 5 miles aka 2,000 feet

Step-by-step explanation:

i pretty sure it would be 26,400 feet

What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)

Answers

Answer:

17.07m/s

Step-by-step explanation:

v=d/t

d=956km

t=56sec

v=956/56

v=17.07m/s

ead the question and type your response in the box provided. Your response will be saved automatically.
Two expressions are below.

M = 4(2x + 6)

N = 8x + 10

Part A:

Apply the distributive property to write an expression that is equivalent to expression M.

Part B:

Explain whether or not expressions M and N are equivalent for any value of x.

Label your answers to both parts of the problem in the response box.

Answers

Answer:

Part A:  8x + 24

Part B:  Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.

Step-by-step explanation:

For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.

Hope this helped! :)



Determine the y-intercept of the function.
x = 4y - 6

Answers

Answer:

y = 3/2

Step-by-step explanation:

Answer:

x=4y-6  

Geometric figure: Straight Line

 Slope = 0.500/2.000 = 0.250

 x-intercept = -6/1 = -6.00000

 y-intercept = 6/4 = 3/2 = 1.50000

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-(4*y-6)=0  

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   x-4y+6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-4y+6  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/2 so this line "cuts" the y axis at y= 1.50000

 y-intercept = 6/4 = 3/2  =  1.50000  

Calculate the X-Intercept :

When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000

 x-intercept = -6/1  = -6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.500 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 1.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.500/2.000 =  0.250  

Geometric figure: Straight Line

 Slope = 0.500/2.000 = 0.250

 x-intercept = -6/1 = -6.00000

 y-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

GUYS I NEED HELP ASAP



A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it, including the gates, is 200 feet long.

Answers

Answer:

[tex]A=2400ft[/tex]

Step-by-step explanation:

A rectangle is a closed planer quadrilateral with four  right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:

[tex]Perimeter=w+h+w+h=2w+2h\\\\Where:\\\\w=Width\\h=Height[/tex]

The ectangular playground is 40 feet wide, so:

[tex]w=40ft[/tex]

Therefore:

[tex]Perimeter=2w+2h\\\\200=2(40)+2h\\\\200=80+2h[/tex]

Solving for h:

[tex]2h=200-80\\\\2h=120\\\\h=\frac{120}{2} \\\\h=60ft[/tex]

The area of a rectangle is equal to the product of two of its contiguous sides, hence:

[tex]A=wh\\\\A=(40)(60)=2400ft[/tex]

I attached you a picture of the rectangle

A parallelogram piece of paper 40cm by 25cm is cut into small parallelogram 8cm by5cm . How many pieces can be obtained. Step by step please

Answers

step 1- multiply 40 by 25 to get 1000
step2- multiply 8 by 5 to get 40
step3- divide 1000 by 4 to get 250
answer. 250 pieces

A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey.How many litres of petrol will be left when the car has travelled 360 miles?

without calculator

Answers

Answer:

After travelling 360 miles, 15 litres of petrol will be left.

Step-by-step explanation:

If a car can travel 480 miles with a full tank of 60 liters of petrol, it could be said that each liter of petrol allows to travel 8 miles (480/60 = 8). Therefore, since the driver has driven his car for 360 miles, his tank has spent 45 liters of petrol (360/8 = 45). In conclusion, given that the tank has a capacity of 60 liters and that it was full at the time of departure, having spent 45 liters, 15 liters remain in the tank.

Which equation is a linear function?

y = [tex]x^{2}[/tex] + 7

, y = [tex]\frac{2}{x}[/tex] + 3

, y + [tex]x^{2}[/tex] - 1

, y = [tex]\frac{x}{2}[/tex] - 5

Answers

X/2 -5 is the only linear function

The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We assume that the population standard deviation is 100 hours. A random sample of 64 light bulbs from the batch yields a sample mean of 350. a) Construct a 95% confidence interval for the population mean of light bulbs in this batch. b) Do you think that the manufacturer has the right to state that the average life of the light bulbs is 400 hours

Answers

Answer:

a)95%  confidence intervals for the population mean of light bulbs in this batch

(325.5 ,374.5)

b)

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

95%  confidence intervals for the population mean of light bulbs in this batch

[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]

[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]

[tex](350 -24.5, 350 +24.5)[/tex]

(325.5 ,374.5)

b)

Explanation:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

Alternative Hypothesis: H₁: μ ≠400

The test statistic

[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

Conclusion:-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

You are overseeing a machine that seals 80 soda cans per minute. In one hour of time, how many soda cans will be sealed? _____ soda cans?

Answers

Answer: 4800

Step-by-step explanation: 80 x 60 = 4800

evaluate (1100000)2 - (111111)2

Answers

Answer:1.197654 10 12

Step-by-step explanation:

Answer:

:1.197654 10 12

Step-by-step explanation:

25 POINTS IF YOU GET THIS ONE RIGHT! VERY HARD

Answers

Answer:1.A 2.C 3.A 4.B

Step-by-step explanation:

1. (answer) a- 257 grams.

2. (answer) c. 1.18 kilometers.

3. (answer) b. 56.

4. (answer) a. 14 7/8 pounds.

What’s the answer to this question ?

Answers

Answer:

  the correct choice is marked

Step-by-step explanation:

The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:

  (x +3)(x -3) = x^2 -9

The zero crossing at -1 tells you that x+1 is a factor.

So, the polynomial factors as ...

  f(x) = (x^2 -9)(x +1)

Multiplying this out, we get ...

  f(x) = x^2(x +1) -9(x +1)

  f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice

The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards, 9 feet long. Which house has the long driveway and by how much? *

Brown house driveway; larger by 30 feet
Red house driveway; larger by 7 feet
Brown house driveway; larger by 5 feet
They are both equal.

Answers

Answer:

Brown house driveway; larger by 5 feet

Step-by-step explanation:

Lets convert yds to ft

We know 3 ft = 1yd

3*7 = 21

so 7yds = 21 ft

Add the 9 ft

7yds 9ft = 21+9 = 30 ft

The house with the 35 ft driveway is longer by (35-30)  or 5 ft

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If angle AOC = 40 degrees, how many degrees is angle ABC? In "Water Flowing from Toilet to Tap May Be Hard to Swallow, what reasons does Schwartz give to support his claim? who can help me find the volume of this planets ? There were 3,342 students enrolled at a university of those students 587 graduated in may over the sumer 32 students left the university and 645 new students enrolled in the fall how many students were enrolled in the fall What decides whether sperm are allowed into the fallopian tubes? A mutation causes a dog to be born with a tail that is shorter than normal.Which best describes this mutation? What is the value of x in the equation 1/3x - 1/2 = 18 1/2 a. 6 b. 15 c. 54 d. 57PLEASE HELP I HAVE 5 MIN LEFT ON MY TEST When an organism completely dies out, it is called What are some other ways the police and the community can work together to improve the community, maintain peaceful neighborhoods, and reduce crime and disorder? Present at least 2 examples. what is the primary reason for setting a closing date in quickbooks? Which category is not one of the major responsibilities of state government?A. Economic developmentB. CorrectionsC. Electrical powerD. Law enforcement A long fetch will produce low, slow waves. True False How do text features contribute a texts structure? Check all that apply 3. What was the goal of the National Origins Act of 1924?O A. To limit all immigrationO B. To increase immigration from AsiaO C. To end immigrationD. To control which countries immigrants came from A company incurs $3,600,000 of overhead each year in three departments: Processing, Packaging, and Testing. The company performs 800 processing transactions, 200,000 packaging transactions, and 2,000 tests per year in producing 400,000 drums of Oil and 600,000 drums of Sludge. The following data are available: Department Expected Use of Driver Cost Processing 800 $1,500,000 Packaging 200,000 1,500,000 Testing 2,000 600,000 Production information for the two products is as follows: Oil Sludge Department Expected Use of Driver Expected Use of Driver Processing 300 500 Packaging 120,000 80,000 Testing 1,600 400 The amount of overhead assigned to Sludge using ABC is a. $1,800,000. b. $1,657,500. c. $1,942,500. d. $1,380,000. True or False: There are three ways to score points in Basketball. A field goal, a free throw and a three point field goal. Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and has an expected maintenance cost of $20 per year. Which statement is true based on the average annual cost of each bike? Assume that an economy is initially in long-run equilibrium. Explain the short-run effect of monetary policy that causes an increase in interest rates. As a result of higher interest rates, the A. long-run aggregate supply curve will shift left. B. aggregate demand curve will shift left. C. short-run aggregate supply curve will shift left. D. aggregate demand curve will shift right. The new equilibrium will be A. where the original aggregate demand curve intersects the original short-run aggregate supply curve. B. where the new aggregate demand curve intersects the original short-run aggregate supply curve. C. where the new aggregate demand curve intersects the original aggregate demand curve. Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1.2 inches. What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches? Find the mean and median of following data 17, 10,3,5 and 15