What are the solution(s) for the quadratic equation?

Y=5x^2-9x+4

Show work

Answers

Answer 1

Let's see

[tex]\\ \rm\rightarrowtail 5x^2-9x+4=0[/tex]

[tex]\\ \rm\rightarrowtail 5x^2-5x-4x+4=0[/tex]

[tex]\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (5x-4)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=4/5,1[/tex]


Related Questions

Please help me with this please and thank you

Answers

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

Find the distance between the pair of points.
(-2,-18) and (-8,-22)

Answers

Answer:

7.21 units

Step-by-step explanation:

hope this helps!

How to find the area of a half of a square?

Answers

Answer:

if u make the square half by its midpoint then we can find its area by using the area of rectangle.

if u make the square half from the diagonal we can find its area by using area of triangle.

2. Triangle ABC is rotated around the origin. If vertex A transforms from A(-8,-10) to A (8, 10), which rotation was performed on the triangle?


Answers

Answer:

A. R180 degree rotation

Step-by-step explanation:

if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation

find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help

Answers

Answer: 452.16ft²

Area = πr².
Area = 3.14 × 12²
Area = 3.14 × 144
Area = 452.16ft²

Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  [tex]\pi[/tex]r2

Which is 3.14*12*12=452.16

Evaluate the expression for p = 3.

2p =

Answers

Answer:

6

Step-by-step explanation:

2 x 3

NO LINKS!!! Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?

Answers

Answer: C

Step-by-step explanation:

A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the preceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.

Answers

Answer:

The answer i 9

Step-by-step explanation:

If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.

Express the decimal as a percent. 1.276

60 points.

Answers

To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).

1.276 x 100 = 127.6

Percentage: 127.6%

Hope this helps!

∠C and ∠D are complementary.

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

m∠C + m∠D = 90

Substitute values and solve for x:

8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7

Answer:

x = 7

Step-by-step explanation:

Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

x = 91/13 = 7

What is the equation of the line that passes through the point (-2,-1) and has a slope of 1/2?​ ?

Answers

equation of line will be

y+1=1/2(x+2)

Hello!

Let's write the equation of the line in both Point-Slope Form and Slope-Intercept Form.

First, point-slope form:

y-y1=m(x-x1)

y-(-1)=1/2(x-(-2) (Point-Slope Form)

Now, convert into Slope-Intercept form:

y+1=1/2(x+2)

y+1=1/2x+1

y=1/2x+1-1

y=1/2x

Hence, the equation of the line is

[tex]\boxed{\boxed{\bold{y=\frac{1}{2}}} }[/tex] (Slope-Intercept Form)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

154-54(79-1554)+12x24

Answers

Answer:

80092

Step-by-step explanation:

Answer:

80092.

Step-by-step explanation:

Given equation:

154 - 54 * (79 - 1554) + 12 * 24

Step-By-Step:

Step 1

Subtract the numbers:

154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24

Step 2

Multiply the numbers:

154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288

Step 3

Add the numbers:

154 + 79650 + 288= 80092.

Answer is 80092.

Solve and show the answer in simplest terms 2 over 5 + 1 over 3

Answers

Answer:  

11/15

Step-by-step explanation:

2/5+1/3

Find a common denominator-15. The fractions with the common denominator are 6/15 and 5/15. They make 11/15. 11/15 is in its simplest form.

x/14=7
what is x?

x/5=4.1
What is x

Answers

Answer:

x = 98 , x = 20.5

Step-by-step explanation:

[tex]\frac{x}{14}[/tex] = 7 ( multiply both sides by 14 to clear the fraction )

x = 98

[tex]\frac{x}{5}[/tex] = 4.1 ( multiply both sides by 5 to clear the fraction )

x = 20.5

Step-by-step explanation:

#1

x/14=7

x=14×7

x=98

#2

x/5=4.1

x=5×4.1

x=20.5

Teleia bought 25 shirts for $237.50. How much would only one shirt cost?

Answers

Answer:

$9.50

Step-by-step explanation:

Divide 237.50 by 25

Covert 135 degrees to radian

Answers

Answer:

2.35619

Step-by-step explanation:

Answer:

2.35619

Step-by-step explanation:

Deg to Rad = ° x pi / 180

yeah help me okay thanks

Answers

Answer:

4

3

Step-by-step explanation:

Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?

Answers

The length of the bridge is 12.12 feet.

The length the dog swam is 32.36 feet.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.

The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.

Therefore,

Let's find the length of the bridge as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / l

cross multiply

l = 30 / tan 68

l = 12.1212121212

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

learn more on right triangle here: https://brainly.com/question/22734914

Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4

Answers

An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,

1. Taking +5 on the right-hand side of the equation,

[tex]x^2+6x+5 = 0\\\\x^2+6x = -5[/tex]

2. Now if we add +9 on both sides of the equation, we will get,

[tex]x^2+6x = -5\\\\x^2+6x+9 = -5+9[/tex]

3. Now we look at the left side of the equation as the square of the binomial expression (x+3).

[tex]x^2+6x+9 = -5+9\\\\(x+3)^2 =4[/tex]

4. Taking +4 from the right side of the equation to the left side of the equation,

[tex](x+3)^2 =4\\\\(x+3)^2 -4=0[/tex]

Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.

Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.

Learn more about Equation:

https://brainly.com/question/2263981

someone help me please​

Answers

wait a min Answer:

Step-by-step explanateion: it's í 4

If the radius of a circle is x cm. what is the length of it's circumferences?

Answers

Answer:

44/7x

Step-by-step explanation:

circumference of circle= 2πr

=2×22/7×x

=44/7x

What is the area of the given triangle?

Answers

Answer:

B  12

Step-by-step explanation:

4 x 6 = 24 divided by 2 = 12

The answer is 12

To find the area of a triangle you need to use this formula. Length x base and then divide in half.

So 6x4=24 and half of 24 is 12

I hope this was helpful :)

if raymond had 50 dogs and gets 80 how many does he have?

Answers

Answer:

50+80 = 130

Step-by-step explanation:

Answer:

50+80=130

Step-by-step explanation:

please mark me the brainiest

A 20-inch pizza has an area of 314 in? That pizza is
divided into eight equal slices. What is the area of two slices of
that pizza?

A. 3114 in2
B. 78.5 in2
C. 39.25 in2
D. 314 in2

Answers

The area of each pizza is gotten by dividing the total area by the number of slices. Therefore, the area of two slices of that pizza is 31.4 inches².

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words the area is the space occupied by a flat shape or the surface of an object.

Therefore, 20 inch pizza has an area of 314 inches². The pizza is divided into 8 equal slices.

Each area of the slices = 314 / 20

Each area of the slices = 15.7 inches²

Therefore, the area of two slices of the pizza is as follows:

area of two slices = 15.7 + 15.7 = 31.4 inches²

learn more on area here: https://brainly.com/question/16694104

A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.

What is the length of each side of the garden?


3 meters

6 meters

9 meters

27 meters

Answers

Answer: 9 meters

Step-by-step explanation:

Let's list what we know

The garden is in the shape of a triangle

The perimeter of the garden is 27 meters

Each side is the same length

The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides

Since all the sides are the same length we can divide 27 by 3 to find the length of each side

27/3=9

The answer would be 9 meters because we know the perimeter is 27 and a triangle has 3 sides. All you have to do is add 9 to itself 3 times for each side and you get 27 meters.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4

Answers

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

What is probability distribution?

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

Probability distribution score:      1,       2,       3,       4, x probability: p(x)                      0.06,  0.20,  0.48,  0.26

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

Learn more about the probability distribution here;

https://brainly.com/question/26615262    

Answer:

C on edge

Step-by-step explanation:

3

please can i have help answering the question in the picture

Answers

the answer is gonna be x+3/x-2

Hey there!

Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]

[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]

[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]

The mean distance from the Earth to the Sun is c gigametres (Gm), where c = 150 and 1 Gm = 10⁹ m. The mean distance from Pluto to the Sun is d terametres (Tm), where d= 5.91 and 1 Tm = 10¹² m. Express d as a percentage of c. Give your answer in standard form.

please help, I don't understand how to get percentage​

Answers

c=150 and 1=109 m the mean distance

What are the x-intercepts of ? f(x)=x3+4x2-9x-36? A. (1,0),(2,0),(3,0) B. (-1,0),(2,0),(18,0) C. (-6,0)(2,0)(3,0) D.(-4,0),(-3,0)(3,0)

Answers

Answer:

D. (-4,0),(-3,0)(3,0)

Step-by-step explanation:

How many distinct subsets of the set $s=\{1,8,9,39,52,91\}$ have three-digit sums?

Answers

The number of distinct subset of the set is an illustration of combination

There are 34 distinct subset of the set that have three digit sums

How to determine the number of distinct subsets?

The set is given as:

S = {1,8,9,39,52,91}

Group the elements

S = {(1,8),9,39,52,91}

So, we have:

S ={s1,s2,s3,s4,s5}

To have a three-digit sum, the sum of the selected elements must be 100 or above.

The number of ways the above set can be selected is:

[tex]n_1 = 4 * [^3C_1 + ^3C_2 + ^3C_3] + 1[/tex]

Evaluate

[tex]n_1 = 4 * [3 + 3 + 1] + 1[/tex]

[tex]n_1 = 29[/tex]

The set can be further rearranged as:

S = {(52,39),9,(8,1)}

i.e.

S = {b1,b2,b3}.

The number of ways the above set can be selected such that the sum is 100 or above is:

[tex]n_2 = 2 * [^2C_1] + 1[/tex]

Evaluate

[tex]n_2 = 2 * 2 + 1[/tex]

[tex]n_2 = 5[/tex]

So, the total number of ways is:

[tex]n = n_1 +n_2[/tex]

This gives

[tex]n = 29 +5[/tex]

[tex]n = 34[/tex]

Hence, there are 34 distinct subset of the see that have three digit sums

Read more about combination at:

https://brainly.com/question/11732255

There are 34 distinct subsets of the see that have three-digit sums.

What are distinct subsets of the set?

When we know that S is a subset of T, we place the circle representing S inside the circle representing T.

The set is given as:

S = {1,8,9,39,52,91}

Group the elements

S = {(1,8),9,39,52,91}

S ={s1,s2,s3,s4,s5}

To have a three-digit sum, the sum of the selected elements must be 100 or above.

The number of ways the above set can be selected is:

[tex]\rm n_1=4\times (^3C_1+^3C_2+^3C_3)+1\\\\n_1=4(3+3+1)+1\\\\n_1=4 \times 7+1\\\\n_1=28+1\\\\n_1=29[/tex]

The set can be further rearranged as:

S = {(52,39),9,(8,1)}

S = {b1,b2,b3}.

The number of ways the above set can be selected such that the sum is 100 or above is:

[tex]\rm n_2=2\times ^2C_1+1\\\\n_2= 2\times 2+1\\\\n_2=4+1\\\\n_2=5[/tex]

The distinct subsets of the set are;

[tex]\rm n_1+n_2=29+5 =34[/tex]

Hence, there are 34 distinct subsets of the see that have three-digit sums.

Read more about combination at:

brainly.com/question/11732255

#SPJ4

Other Questions
PLSSSS HELPPPPP ITS DUEEE What were the nearest cross streets to Carnegie Deli (when it was open)? What are the three major branches of natural science? Earth and space science, life science, physical scienceEarth and space science, physical science, chemistryPhysical science, life science, chemistryLife science, chemistry, physics Why did some participants at the Seneca Falls Convention question theinclusion of the demand for women's suffrage in the Declaration of Sentiments? Please help me on this (Look at the Photo) ____ is the status of identity of an individual in which crisis and commitment are both absent and the individual is undecided about or shows little interest in occupational and ideological choices. Explain a chromosome deletion and the effects it can have on the body What disabilities qualify for student loan forgiveness?. Sally made a diagram to show one way that Earth's systems interact near a volcano1. Identify the process that sally is moldering in her diagram2. Explain how the individual parts shown in the model come together to form a cycle Which of the following is an example of corporate welfare? a. A large corporation donates money to a homeless shelter b. Severance pay and unemployment insurance c. Low-interest government loans, subsidies, and tax breaks to corporations d. Employee assistance programs A penny is tossed and a number cube is rolled. determine each probability. you must answer the problem with at least 3 sentences.what number is the probability of landing on tails and the number 5?p(tails,5) = Which type of nutrient functions primarily as an energy source for cells?. Non-vascular plants rely on _______ to get waterA. GerminationB. DrinkingC. DiffusionD. PollinationPlease respond ASAP! 1.) 7x+8=292.) 6x+6=363.) 7+6x=19how do you solve these problems? The mathematics faculty at a college consists of 12 professors, 6 associate professors, 9 assistant professors, and 8 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor. Which speech organizational pattern arranges the first main point to identify a problem, the second main point to explain the cause of the problem, and the third main point to propose a solution How did the artist draw the viewer's attention to the focal point in this painting? Form and emphasis Line and space Space and form Texture and pattern These days it seems like almost everyone wants to be greener. A new generation of shoppers wants to do its regular shopping but be less wasteful. If possible, these people also want to shop in a way that might help the environment or at least not harm it.2 Companies are getting in on the green revolution, too. They can usually charge more for green productssometimes double the price or more. It benefits them if they can say what theyre selling is green. But should you always believe it? Just because a company says something is environmentally 15 friendly, is it really true?3 Experts say possibly not. They say that customers need to be careful when they try to shop in an environmentally friendly way. Some companies say they offer green products, but they really dont. Its important to consider that what a company says about its products may not always be true. 4 So, what can you do? Here are some suggestions to make sure the products you buy are really green:5 Read carefully.Read labels and information about the product carefully. What is a product made up of? Are any ofthe ingredients dangerous for you or the environment? Dont forget to check where the materials come from. If the wood in your new table comes from forests where there are a lot of trees and the trees grow quickly, thats one thing. If the trees come from forests that are in danger, that isnt good. Additionally, consider how far the product traveled to get to you. How much fuel did it take for delivery to you or a store?6 Watch unclear language. Companies sometimes use words that are unclear. For example, many products say they are natural or eco-friendly. But what does that mean? There are actually some materials that are natural but unhealthy for us. Also, be careful about pictures. Some companies put pretty pictures of nature on their products to make customers believe that the product is green, but that might not be true.7 Look for proof. You can be surer that green labels are real if a company has another organization check it. This is called outside certification. Outside certification lets you know that someone other than the company is checking to make sure that what the company says is true. If you want to be a green shopper, you need to do your homework. Yes, it requires more work and that takes extra time. But, if you care about the environment, its worth it. You can feel more satisfied that you are trying to do something to help the environment.Re-read paragraph 2 and give two ways companies benefit from appearing'green'. Which sentence is in the present tense? How does king support this claim? by citing the 1954 supreme court decision by describing the fairness of moral laws by describing a law about parade permits by defining illegal segregation statutes