Describe the error in solving the equation -2x^2+9x=4 using the Quadratic Formula.

Answers

Answer 1

Answer:

The roots are 0.5 and 4.

Step-by-step explanation:

-2x^2+9x=4

Rearrange:

-2x^2 + 9x - 4 = 0

x = [-b +/- √(b)^2 - 4ac)] / 2a

Using this quadratic formula the solution is:

x = [-9 +/- √(9)^2 - 4*(-2)*(-4)] / (2*-2)

   = (-9 +/- √49) / -4

   = 9/4 +/- (-7/4)

   = 9/4 - 7/4 = 0.5

and 9/4 + 7/4 = 4


Related Questions

Help please

1.In ∆ABC, how many triangles are formed given: a=10 cm, b=18 cm, c=105°?

A. 1
B. 2
C. 3
D. None

2. In ∆ABC, if <A is obtuse and a<c, then how many triangle/s can be formed?

A. 1
B.2
C. 3
D. None​

Answers

For questions 1 and 2 options, A and D are correct respectively.

What is the triangle?

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

1. In ∆ABC,

a=10 cm, b=18 cm, c=∠105°

For the given data only one triangle is formed. Option A is correct.

2. In ∆ABC, if <A is obtuse and a<c,

An obtuse angle is an angle more than the 90°.The given condition is wrong. None of the triangle is formed from the given options.

Hence for questions 1 and 2 options A and D are correct respectively.

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Find the 24th term of the sequence:

11, 16, 21, . . .

Answers

Answer:

126

Step-by-step explanation:

The difference between the first two terms of this sequence is 5 (16 - 11 = 5). The difference between the second and third terms of this sequence is also 5 (21 - 16 = 5).

So, we can assume that the difference between each term in this sequence is 5. To get from the first term (11) to the second term (16) we had to add 5 once. (or, add 5  x 1 [time])

To get from the first term (11) to third (21), we had to add 5 twice

(or, add 5 x2)

*repeated addition, such as 5+5+5 is the same thing as multiplication. If we are adding 5 three times, we will get the same outcome as 5 x 3.

So, to get from the first term (11) to the 24th term, we will have to add 5 23 times, or 5 x 23

5 x 23 = 115

11 + 115 = 126

Making 126 the 24th term of the sequence

Is the distribution of all values of the statistic when all possible samples of the same size n are taken from the same population.

Answers

The distribution of the values obtained from a simple random sample of size n from the same population is incorrect.

What is sampling distribution?

The sampling distribution of a statistic of size n is the distribution of the values obtained from a simple random sample of size n from the same population.

The sampling distribution is the process of getting a sample through simple random techniques from the sample population.

So, it is incorrect that the distribution of all values of the statistic when all possible samples of the same size n are taken from the same population.

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The graph shows a probability distribution. What is P(X<3)?

Answers

The value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a probability distribution shown in the picture.

To find the probability P(X<3) = area up to 3

From the probability distribution:

P(X<3) = (1/2)×3×(0.20)

P(X<3) = 1.5×0.20

P(X<3) = 0.3

Thus, the value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.

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Which of the following best describes the graph shown below?
A. This is not the graph of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is not one-to-one.
D. This is the graph of a linear function.

Answers

Answer: the answer is C

Step-by-step explanation:

Hi student, let me help you out! :)

. . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to describe the graph shown in the attached picture.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Please see below! ^^

Is the graph a function?

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.

[tex]\underline{\rule{50}{1}}[/tex]

Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.

One down, three to go! ^^

Is the graph a one-to-one function?

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph

[tex]\underline{\rule{50}{1}}[/tex]

Since a horizontal line touches the graph more than once, this function is not one-to-one.

Option B. isn't right either.

Two down, two to go! ^^

However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.

So I choose Option C.

Let's ensure our answer is correct by checking the last option:

Is the graph a linear function?

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.

[tex]\underline{\rule{50}{1}}[/tex]

As we can see, the given graph is not a staight line; thus, Option D. is also wrong.

Thus, Option C. is the correct answer.

Hope it helps you out! :)

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)


What is the force, in N, when a pressure of 22 N/m² is exerted on an area of 750 cm²?

Answers

Answer:

1.65 N

Step-by-step explanation:

Step 1: convert cm^2 to m^2

1 cm^2 = 0.0001 m^2

750 cm^2 = 0.075 m^2

Step 2: multiply pressure by area

F = P*A = 22 N/m^2 * 0.075 m^2 = 1.65 N

please help it says to choose one or more!

Answers

Answer:

it's A And C

Step-by-step explanation:

Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be lose

Answer: it’s A and C (45 ft and 37 ft) I think


Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128

Answers

The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

Limit of a function

Given the following limit of a function expressed as;

[tex]\lim_{x \to 0} f(x)=4[/tex]

We are to determine the value of the function

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]


This can also be expressed as

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]

Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

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B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon B A. It is possible to circumscribe a circle around each polygon because they are both quadrilaterals. B. It is not possible to circumscribe a circle about either polygon because they are both quadrilaterals. C. It is possible to circumscribe a circle about the parallelogram on the left only, because opposite angles must be supplementary D. It is possible to circumscribe a circle about the rectangle because its opposite angles are supplementary

Answers

The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.

What is a Circumscribed Quadrilateral?

An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.

From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).

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find the slope of the line
x-intercept is twice as y-intercept​

Answers

Answer:

-1/2

Step-by-step explanation:

It mentions that the x-intercept is equal to twice the y-intercept.

=============================================================

Let :

⇒ x-intercept = (2a, 0)

⇒ y-intercept = (0, a)

==============================================================

Slope formula :

m = y₂ - y₁ / x₂ - x₁

=============================================================

Solving :

⇒ m = a - 0 / 0 - 2a

⇒ m = a / -2a

⇒ m = -1/2

Question 11
Solve the simultaneous equations
4x + 2y = 9
x - 2y = 1

Answers

The value of x and y is (5,2)

We have given that,

4x + 2y = 9 ........(1)

x - 2y = 1.......(2)

We have to solve the simultaneous equation

What is the simultaneous equation?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

adding equations 1 and 2 so we get,

4x + 2y = 9

x - 2y = 1

----------------

5x-0y=10

[tex]5x=10\\x=10/2\\x=5[/tex]

Use the value of x in equation 2 so we get,

[tex]5-2y=1[/tex]

[tex]-2y=1-5[/tex]

[tex]-2y=-4[/tex]

[tex]y=-4/-2[/tex]

[tex]y=2[/tex]

Therefore the value of x and y is (5,2)

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A beverage company produces cans of lemonade. According to the label a can contains a volume of 375mL of lemonade. A consumer group tested this claim by measuring the volume of lemonade in 2,500 cans. They found that the volume was normally distributed with a standard deviation of 5mL and a mean of 372mL.

If a can is chosen at random, find:

P (its volume is ≥382mL)

Answers

The probability that the volume of a can chosen at random is ≥382 is 0.47725

Normal distribution probability

Probability is the likelihood or chance that an event will occur. For the given question, we need to calculate the  z value as shown;

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Given the following parameters

[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]

Substitute

[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]

In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)

z≥2 according to probability table is equivalent to 0.47725

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annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an extra 40% . annie now has 63 sweets. how many did she have originally

Answers

Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that:

Initially, she had n sweets.With the ones she got from Teddy, the amount became 1.5n.With the amount from Rosie, the amount became 1.4 x 1.5 x n.

The final amount was of 63, hence:

1.4 x 1.5 x n = 63

n = 63/(1.4 x 1.5)

n = 30.

Annie had 30 sweets originally.

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Question 10 solve for me please

Answers

Answer: D.

Step-by-step explanation:

x + 3 > 2       Original equation

x > -1             Subtract 3 on both sides

Number line that has an open circle and on -1 that goes right = D.

Karen needs to make a total of 60 deliveries this week. So far she has completed 33 of them What percentage of her total deliveries has Karen completed?

Answers

Answer:

55%

Step-by-step explanation:

(33/60) * 100

leave a comment if u need further explanation


A cube has side length 3 inches. A sphere has a radius of
3 inches. (Lesson 5-16)
a. Before doing any calculations, predict which solid has greater surface
area to volume ratio.
b. Calculate the surface area, volume, and surface area to volume ratio for
each solid.

Answers

I predict that the solid with the  greater surface area to volume ratio would be the cube.

The volume of the cube is 27in³

The surface area of the cube is

The ratio of surface area to volume for the cube is 2.

The volume of the sphere is 113.14 in³

The surface area of the sphere is 113.14 in²

The ratio of surface area to volume is 1.

What is the surface area and volume of each solid?

The volume of a cube = side length³

3³ = 27 in³

The surface area of a cube = 6a²

a = side length

6 x (3²) = 54 inches²

Ratio of surface area to volume = 54 / 27 = 2

The volume of the sphere= 4/3πr³

4/3 x 22/7 x 3³ = 113.14 in³

The surface area of the sphere = 4πr²

4 x 22/7 x 3² = 113.14 in²

Ratio of surface area to volume = 113.14 / 113.14 = 1

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Which of the following shows how to calculate the probability of randomly selecting a cat or dog?
P(cat) + P(dog)
P(cat) − P(dog)
P(cat) · P(dog)
P(cat) ÷ P(dog)

Answers

The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive

Probability of mutually exclusive events

If we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)

Probability of randomly selecting a cat or dog

Let

P(cat) = probability of selecting a cat and P(dog) = probability of selecting a dog

So, probability of randomly selecting a cat or dog is

P(cat or dog) = P(cat) + P(dog)

So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

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Need help don't understand

Answers

Answer:

she should get ready by 11:10

Step-by-step explanation:

Add All the time up 75(1 hour 15min=60+75)+40+25+30=170minutes

170minutes/60= 2 hour 50minutes

subtract 2 hour 50minutes from 2:00

= 11:10

28.4.2 Test (CST): Transformations, Congruence, and Similarities, Part 2
Quadrilateral RUST has a vertex at R (1,5).
T
S
What are the coordinates of R'after the translation (x, y) → (x+1, y-1),

Answers

Answer:

R'(2,4)

Step-by-step explanation:

When doing translations you subtract or add within the coordinates like a normal problem.

If it helps you, write it as seperate equations like:

1-1 and 5-1

Hope that helps ✓

function or not a function?

Answers

Answer:

function

Step-by-step explanation:

no repeated domain means its a function

If set A contains four distinct numbers and set B contains seven distinct letters, how many elements are in (A U B)?​

Answers

There are 11 elements are in (A U B)

How to determine the number of elements?

The given parameters are:

n(A) = 4

n(B) = 7

The number of elements in (A U B) is calculated using:

n(A U B) = n(A) +n(B) - n(A U B)

Given that the sets have distincts elements, we have:

n(A U B) = 4 + 7 - 0

Evaluate

n(A U B) = 11

Hence, there are 11 elements are in (A U B)

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Answer: There are 11 elements are in (A U B)

Step-by-step explanation:

Jenny wants to start an after-school club, so she decides to survey the student body to determine which club would be the most popular: French Club, Architecture Club, or Anime Club. She decides (with Mrs. Howell's permission) to survey the first 25 students who show up to her class one day.

Does her survey comprise an accurate representation of the Reach student body? Why or why not?​

Answers

Answer:

no because it just reaches one class, not the student body

Step-by-step explanation:

Type the correct answer in each box. use numerals instead of words. what are the x-intercept and vertex of this quadratic function? g(x) = -5(x-3)^2 write each feature as an ordered pair: (a,b). the x-intercept of function g is . the vertex of function g is .

Answers

Considering the given quadratic function, we have that:

The x-intercept is (3,0).The vertex is (3,0).

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the function is given by:

g(x) = -5(x - 3)²

Hence h = 3, k = 0, and the vertex is (3,0).

What are the x-intercepts of a function g(x)?

They are the values of x for which g(x) = 0, hence:

-5(x - 3)² = 0

(x - 3)² = 0

Applying the root to both sides:

x - 3 = 0.

x = 3.


The x-intercept is (3,0).

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Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?



Answers

Answer:

Answer

4.9/5

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Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)

8am = -2

9am = -0.5

10am = 1.0

11am = 2.5

12pm = 4

m = change in each value or the slope , for this it is m=1.5

c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5

The equation then is: y= 1.5*x - 3.5

The gradient/slope/m value is 1.5. The answer is 1.5

What is the answer to (2 * 6)^3/2?

Answers

Answer:

864

Step-by-step explanation:

First, you multiply 2 and 6, so it's 12, and multiply it by 144, so it's 1728, and divide it by 2. Therefore, it's 864!

A money market account is a collection of stock and bonds true or false

Answers

Answer:

A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.

The answer to this question is true

30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.

Answers

Answer:

30 : (5 - 2 + 7) = 3

Step-by-step explanation:

30 divided by 5 - 2 + 7 = 3

Then , write down the correct equation.

30 : (5 - 2 + 7) = 3

30 : (3 + 7) = 3

30 : 10 = 3

3 = 3

The answer is 3 I’m pretty sure

Which angle in the figure is a right angle?

A. ∠STU

B. ∠TSR

C. ∠TUS

D. I don't know.

Answers

Answer:

∠TUS I'm pretty sure because t and u make a right angle

Jamaal and his father have 1,920 stamps from around the world. They want to place the stamps in display cases that each hold 72 stamps. How many display cases can Jamaal and his father completely fill with the stamps?

Answers

Answer:

26 display cases

Please give brainliest!
Hope this helps :)

if Jamaal has 1920 stamps, and he wants to place them in diplay cases that can each hold 72 stamps, we figure out how many display cases can be filled with stamps by finding out 1920/72

This gives us 26 2/3, but 2/3 isn't 1.

he can fill 26 cases

Any ideas for solving this beast

Answers

Answer:

option c

Step-by-step explanation:

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