Use the quadratic formula to solve x^2+3x-28=0

Answers

Answer 1

The solutions to the quadratic equation x² + 3x - 28 = 0 are 4 and -7.

What are the solutions to the quadratic equation?

The quadratic formula is expressed as;

x = (-b±√(b² - 4ac)) / (2a)

Given the equation;

x² + 3x - 28 = 0

a = 1b = 3c = -28

Substitute the values of a, b, and c into the formula and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -3 ±√( 3² -  ( 4 × 1 × -28) )) / (2×1)

x = ( -3 ±√( 9 -  ( -112) )) / (2)

x = ( -3 ±√( 9 + 112 )) / (2)

x = ( -3 ±√( 121 )) / 2

x = ( -3 ± 11 ) / 2

x = ( -3 - 11 ) / 2, x = ( -3 + 11 ) / 2

x = -14/2, x = 8/2

x = -7, x = 4.

Therefore, -7 and 4 are the solutions to the equation.

Learn more about quadratic formula here: https://brainly.com/question/4038687

#SPJ1


Related Questions

Classify the triangle based on its angles

Classify the triangle based on its angles

Answers

Answer:

The triangle is scalene triangle because its all sides are different

So, you can go with it and

Request :- if you are helped with my answer pls tag me brianliest I really want it.......

THANK YOU.. Plzz see to my request

I need help with math 2 on gradpoint I’ll literally pay anyone because I need the class to graduate.

Answers

hey there, i might be interested in this deal. how much will i be getting paid?

David buys a new car on hire purchase. The car costs R75 000 (excluding VAT) and he trades in his old car (that is fully paid for) for R9 500. The car registration, documentation and licence fees are R2 000.

Determine the cost of the car, inclusive of VAT, trade-in and the other fees. ​

Answers

Answer:

R93,750. (I have changed R to $ in explanation)

Step-by-step explanation:

To determine the cost of the car inclusive of VAT, trade-in, and other fees, we first need to calculate the VAT amount. Assuming the VAT rate is 15%:

VAT = 0.15 x $75,000 = $11,250

Next, we can calculate the total cost of the car, inclusive of VAT:

Total cost of car = Cost of car + VAT

Total cost of car = $75,000 + $11,250

Total cost of car = $86,250

We also need to take into account the trade-in and the other fees. The trade-in value of $9,500 and the other fees of $2,000 are subtracted from the total cost of the car:

Total cost of car inclusive of VAT and other fees = Total cost of car + Trade-in value - Other fees

Total cost of car inclusive of VAT and other fees = $86,250 + $9,500 - $2,000

Total cost of car inclusive of VAT and other fees = $93,750

Therefore, the cost of the car, inclusive of VAT, trade-in, and other fees, is $93,750.

We need to calculate the total cost of the car, inclusive of VAT, trade-in, and the other fees.

First, we need to calculate the VAT on the cost of the car:

VAT = 15% of R75 000 = R11 250

Next, we need to calculate the total value of the trade-in and other fees:

Trade-in + other fees = R9 500 + R2 000 = R11 500

Now, we can calculate the total cost of the car, inclusive of VAT, trade-in, and other fees:

Total cost = Cost of car + VAT + Trade-in + Other fees
Total cost = R75 000 + R11 250 + R11 500
Total cost = R97 750

Therefore, the cost of the car, inclusive of VAT, trade-in, and other fees, is R97 750.

At a hockey game, a vender sold a combined total of 250 sodas and hot dogs. The number of sodas sold was 42 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

sodas sold:
hotdogs sold:

Answers

Answer:

let x as hotdog and x + 42 as soda

x + x + 42 = 250

2x + 42 = 250

2x + 42 - 42 = 250 - 42

2x = 208

x = 104

sodas sold: x + 42 = 104 + 42 = 146 sodas

hotdogs sold: x = 104 hotdogs

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

Answer:

104 hot dogs sold

146 sodas sold

Step-by-step explanation:

s=number of sodas. h=number of hotdogs

s+h=250

s=h+42  ==> there were 42 more sells for soda than compared to hot dog

h+42+h=250  ==> plugin h+42 for s

h+h+42=250 ==> simplify

2h+42=250 ==> solve for h

2h+42-42=250-42 ==> isolate h by subtracting 42 on both sides

2h = 208

h = 208/2

h = 104 hot dogs sold

s=104+42  ==> plug in 104 for h in s=h+42

s = 146 sodas sold

Consider the following equations.

f(x)=2x-1
g(x)=3/8x

What values of x will result in f(x)=g(x)?

0 and −3/4
0 and −2
−2 and −3/4
only 0

Answers

The required solutions of the situation of the function are  x = 3/4  or x = -1/4.

What is function?

A unique connection where each input only produces one output. A common notation for it is "f(x)," where x denotes the input value. as in f(x) = x/2 ("f of x equals x divided by 2") Since there is only one output ("x/2") for each input ("x"), it is a function: • f(2) = 1.

According to question:

We have,

f(x)=2x-1

g(x)=3/8x

To find the value of x for f(x) = g(x).

f(x) = g(x)

2x-1 = 3/8x

16x² - 8x = 3

16x² - 8x - 3 = 0

16x² - 12x + 4x - 3 = 0

4x(4x - 3) + (4x - 3) = 0

(4x - 3)(4x + 1) = 0

x = 3/4  or x = -1/4

Thus, required solution are  x = 3/4  or x = -1/4.

To know more about Quadratic equation visit:

brainly.com/question/30098550

#SPJ1

1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)

Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.


Part B: Solve the equation.

John’s age =


John’s sister’s age =

Answers

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

Answer:

36-x=y

y*3=x

x+y=36

Step-by-step explanation:

I wasnt really sure how to write the equation the way you're supposesd to?

John is 27 and his sister is 9. 9*3=27

I just used guess and check sorry

Can someone please answer this

Can someone please answer this

Answers

Answer:

3486784401 / 9^-6

Step-by-step explanation:

Hi!

(9^2)/(9^-8)

= 81/(9^-8)

= 81/1/43046721

Or

9^-6

Try both to see if they work. if they don't, hit me up in the comments

Ok I cut the freaking cute please help me uwu stuff could yall just answer me like 10 points
−2/9x+2.7=4
find x

Answers

Answer:

Step-by-step explanation:

−2/9x+2.7=4

subtract 2.7 from both sides

-2.9x = 1.3

divide -2.9 from both sides

x= -.4482 or x= -.45

A professor compares the number of students at his school majoring in statistics, engineering, both, or neither. If the number of students majoring in both is 20, how large is the population?​

A professor compares the number of students at his school majoring in statistics, engineering, both,

Answers

Answer:

1,946

Step-by-step explanation:

251+175+1500+20=1,946

Find the range of possible values of x

Find the range of possible values of x

Answers

Answer:

I dont have time to answer but i explained c:

Step-by-step explanation:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.

1..Tim is playing board games that goes from -50 to 50, Tim is on the space marked -2 ​​and spins a 12 to move 12 spaces. What number box will Tim be on after the spin?

2..When would the answer to 3+x be locaded to the right of 3?

3..When would the answer to 3+x be locaded to the left of 3?

Answers

Answer:

1. 10

2. if x was positive

3. if x was negative

Step-by-step explanation:

1. he starts on -2. so -2 + 12 is 10, so he would be on the space number 10.

2. if he moved to the right, it would mean you added something to 3. so, if x was positive, then it would move to the right.

3. if he moved to the left, it would mean that you subtracted something from 3. so, if x was negative, then it would move to the left.

PLEASE HELP! MATH QUESTION

PLEASE HELP! MATH QUESTION

Answers

Answer:

the midline is at f(x)=0

it takes the ball 2 s to complete a cycle

State if the two triangles
are
congruent. If they are, state how you know.

State if the two trianglesarecongruent. If they are, state how you know.

Answers

yes they are and because side side side=SSS so B should be the answer (mark brainliest if correct pls)

What are the common factors of 18 and 42
A. 1,2,3,6,9
B. 1,2,3,6,18
C. 1,2,3,6
D .1,3,6

Answers

C. 1,2,3,6; is the common factors of 18 and 42

I need the answer and explanation pls

I need the answer and explanation pls

Answers

Step-by-step explanation:

Vertical Angles:A pair of opposite angles made by two intersecting lines. ( This would make both angle measures equal)

I need the answer and explanation pls

Let a(n) be a sequence defined recursively as follows: a(0) = -1 a(1) = 1 a(n+2) = a(n+1) - a(n). Find a(26)

Answers

For the given sequence a(26) = 2

To find a(26), we can use the recursive definition of the sequence and work our way up from a(0) and a(1):

a(0) = -1
a(1) = 1

a(2) = a(1) - a(0) = 1 - (-1) = 2
a(3) = a(2) - a(1) = 2 - 1 = 1
a(4) = a(3) - a(2) = 1 - 2 = -1
a(5) = a(4) - a(3) = -1 - 1 = -2
a(6) = a(5) - a(4) = -2 - (-1) = -1
a(7) = a(6) - a(5) = -1 - (-2) = 1
a(8) = a(7) - a(6) = 1 - (-1) = 2

From this pattern, we can see that the sequence repeats with a period of 6, so we can find a(26) by finding the remainder when 26 is divided by 6:

a(26) = a(26 mod 6) = a(2) = 2

Therefore, a(26) = 2.

To learn  more about Recursive

https://brainly.com/question/31392309

#SPJ11

Hey guys so I NEEEEEED HELP ON THIS MATH QUESTION, so here it is please help me P.S: LIMITED TIME, P.P.S: LIKE IN 40-74 MINUTES!!! HELP

The approximate diameters of Uranus and Mars are listed below:

Uranus: 5.11×10^4

kilometers

Mars: 6.79×10^3

kilometers

How many times larger is the diameter of Uranus? Write your answer in standard notation, rounding to the nearest tenth.

Answers

The number of times the diameter of Uranus is larger than the diameter of Mars is 7.5 times

How to determine the number of times larger is the diameter of Uranus

From the question, we have the following parameters that can be used in our computation:

The diameters of Uranus and Mars

These diameters are given as

Diameter of Uranus: 5.11×10^4 kilometers

Diameter of Mars: 6.79×10^3 kilometers

Express the diameters properly

So, we have the following representation

Diameter of Uranus: 5.11 × 10⁴ kilometers

Diameter of Mars: 6.79 × 10³ kilometers

This means that

Number of times larger = Diameter of Uranus/Diameter of Mars

Substitute the known values in the above equation, so, we have the following representation

Number of times larger = 5.11 × 10⁴ kilometers/6.79 × 10³ kilometers

Evaluate the quotient

So, we have the following representation

Number of times larger = 7.5

Hence, the number of times is 7.5

Read more about scientific notation at

https://brainly.com/question/27862246

#SPJ1

HELP ASAP
1. A group of numbers, variables, and/or operation symbols that represent a mathematical relationship. is called?

2. A known number, a variable, or the product of a known number and a variable; separated by plus (+) and minus (-) symbols. is called?

Answers

Answer:

1. polynomial

2. equation

I hope it will be useful.

Students majoring in engineering make up 21% of the students at a university. There are 6,600 total students enrolled at the university, How
many students are majoring in engineering?

Answers

Answer:

Step-by-step explanation:

21 percent of 6600 is 1386.

I'm sorry if I'm wrong.

pls help me with this...... :).....it's urgent........​

pls help me with this...... :).....it's urgent........

Answers

Why urgent?

See attachment for math work and answer.

I gave you two different answers for 2b.

pls help me with this...... :).....it's urgent........
pls help me with this...... :).....it's urgent........

12 pumpkins cost 24.60 how much will it cost for 8 pumpkins also

I can run 5 laps in 1 1/4 hours how many laps could I run in a day ​

Answers

Answer:

the second one is 20 i think

Step-by-step explanation:

The first one is 8 pumpkins will cost 8.40

May someone help me out I’ll mark you

May someone help me out Ill mark you

Answers

Answer:

∠ X = 76°

Step-by-step explanation:

since Δ DCB and Δ YWX are similar then corresponding angles are congruent, that is

∠ X = ∠ B = 76°

if you roll six fair six-sided dice one time, what are the chances that at least one of the dice will come up a five? g

Answers

There is a probability of 66.5 % chance of it landing on a 5 at least once in 6 dice.

Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll:

This means that each time that you roll, there is a 5/6 chance that you will not roll a 5.

The probability of not rolling a 6 twice is 5/6 or 69.4%.

Roll the die six times, and the probability of not rolling a 5 is

(5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6) * (5/6)

= (5/6)⁶

= 33.5%

Therefore, the probability of rolling a 5 at least once in 6 dice

= 100%  - 33.5%

= 66.5%

To know more about probability check the below link:

https://brainly.com/question/24756209

#SPJ1

An ant crawling along the floor follows a semi-circular path, going halfway around the circumference of a circle of radius R.
The distance traveled and the displacement of the ant are, respectively,
πR and πR
2R and πR
πR and 2R
πR and zero
none of these

Answers

  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

To know more about circle at :

brainly.com/question/27447563

#SPJ4

The area of a circle, in terms of π, is 50π m(squared)
Find the value of the radius.
Give your answer as a simplified surd.

Answers

Step-by-step explanation:

It will pie r squared is equal to area

/ take this sign as pie

/ ×r^2=50/

r^2=50/÷/

r^2=50

r =

\( { \sqrt{50} } \)

=

\(5 \sqrt{2} \)

The value of the radius of the given circle is 5√2, of which the area is 50π m².

The formula for the area of a circle is A = πr², where A represents the area and r represents the radius.

As per the question, given that the area is 50π m².

So, we can set up the equation as follows:

50π = πr²

To solve for r, we divide both sides of the equation by π:

50 = r²

Taking the square root of both sides, we get:

√50 = √(r²)

Simplifying the square root of 50 gives:

r = √50

r = √(25 x 2)

r = 5√2

Therefore, the value of the radius is 5√2.

Learn more about the area of the circle here:

brainly.com/question/19794723

#SPJ4

Solve for y
y - 2 = 2x

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

Add two to both sides.

in a stem-and-leaf display, . a. a single digit is used to define each stem, and one or more digits are used to define each leaf b. one or more digits are used to define each stem, and a single digit is used to define each leaf c. a single digit is used to define each stem, and a single digit is used to define each leaf d. one or more digits are used to define each stem, and one or more digits are used to define each leaf

Answers

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

What is stem-and-leaf plot?

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.

The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).
Thus, in this case, correct option is:b

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

To know more about stem-and-leaf display refer to:

brainly.com/question/8649311

#SPJ4

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the answer key says x=10, but I'm not sure how to get there.

please don't put an unrelated answer or just repeat the answer for the points :) I would like a step by step explanation ​

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the

Answers

Answer:

\( \: x = 10\)

Step-by-step explanation:

prefer the attachment

according to the question

\( \displaystyle \: \frac{6}{17.5-x} = \frac{8 + 6}{17.5} \)

simplify addition:

\( \displaystyle \: \frac{6}{17.5-x} = \frac{14}{17.5 } \)

simplify fraction;

\( \displaystyle \: \frac{6}{17.5 - x} = 0.8\)

cross multiplication:

\(\displaystyle 6 = 14 - 0.8x\)

cancel 14 from both sides:

\( \displaystyle - 8= - 0.8x\)

divide both sides by -0.8:

\( \therefore \: x = 10\)

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the

Which expression is equivaien. to 6 (3x + 4)?

Which expression is equivaien. to 6 (3x + 4)?

Answers

Answer:

18x + 24

Step-by-step explanation:

6(3x + 4)

combine like terms

18x + 24

Find the present value of a sequence of annual payments of Rs 25000 each , the first being made at the end of 5th year and the last being paid at the end of 12th year, if money is worth 6%.

Answers

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

Learn more about present value at

https://brainly.com/question/17010642

#SPJ11

Other Questions
if an item is a necessity rather than a luxury, its demand curve will be: relatively flat. relatively steep. perfectly elastic. perfectly inelastic. Read the prompt below, and then choose the best answer.What is usually the easiest upgrade you can make to a desktop computer?Increase the memory.Upgrade the hard drive.Upgrade the video card. If we know thatlim x-4 x-4 = -20.09,this tells us that for the function f(x) = e^{7-x}f'(-20.09Y) = does anyone have element? why doesnt dr. logan feel the bed bug feeding on him? For a polymer in solution, a decrease in the solvent quality would lead to which of the following changes in polymer properties in solution or on a surface? (a) Radius of Gyration, RG, will increase, Intramolecular Expansion Factor, a, will increase, Brush Layer Thickness, I, will increase. (b) Radius of Gyration, RG, will increase, Intramolecular Expansion Factor, a, will decrease, Brush Layer Thickness, I, will increase. (c) Radius of Gyration, RG, will increase, Intramolecular Expansion Factor, a, will increase, Brush Layer Thickness, I, will decrease. (d) Radius of Gyration, RG, will decrease, Intramolecular Expansion Factor, a will decrease, Brush Layer Thickness, I, will decrease. Larry is a chain smoker who just flew 10 hours straight from Honolulu to Sydney, Australia. When he gets off the plane, he lights up as soon as he finds a smoking area so his terrible cravings will disappear. In this example, smoking is a A distribution of camera prices is shown. Use the z-table to answer the question. Complete each statement. The camera price that represents the 75th percentile is about $ This means that of the cameras are less expensive than or equal to this price, and of the cameras are more expensive than this price. 75% 270 305 340 375 410 445 480 DSLR Camera Prices (5) the proportion of radiation that is reflected from light-colored surfaces rather than absorbed is called what? Dancers create their steps using their knee and hip joints. In what way do knee joints differ from hip joints? Both psychodynamic theorists and cognitive-behavioral theorists believe that in conversion disorder, the symptoms that appear: Can humans ever directly see a photon? verified answer In the program shown, when the MCR instruction is false, output(s)___will always be de-energized. a) M, PL1 and SOL b) M and PL1 c) PLI d) SOL Outputs L1 Inputs Ladder logic program ONOFF OOONOFF STOP START olo-STOP SA He M START LEVEL SWITCH M to go LEVEL SWITCH SI O-LS1 MCA Which type of drama, in vogue in Germany during the first two decades of the century, featured shocking and gutsy dialogue, boldly exaggerated scenery, piercing sounds, bright lights, an abundance of primary colors, a not very subtle use of symbols, and a structure of short, stark, jabbing scenes building to a powerful or deafening climax How does a stimulant, such as an amphetamine affect attention?Select one:a. They impair attention at all levels,b. At low levels, they increase attention. At high levels, they impair it,c. They increase attention at all level,O d. At low levels, they impair attention. At high levels, they increase it Classes at Tony's karate school cost $30.50 per month. This year he plans to take 2 more months of classes than he did last year.How will this affect Tony's karate expenses? Complete the explanation.y = x, where x is the number of additional classes and y is the increase in dollars in expenses; his expenses will increase by $. How many days are in 42 weeks? 294 days 504 days 1,008 days 2,520 days The curve below shows the percentage of population of aquatic species that die in response to doses of pollutant A:Dose-response curve shows ten percent of the population died when exposed to thirty milligrams of pollutant A per kilogram of water. Twenty percent of the population died when exposed to thirty-eight milligrams of pollutant A per kilogram of water. Thirty percent of the population died when exposed to forty milligrams of pollutant A per kilogram of water. Forty percent of the population died when exposed to forty-two milligrams of pollutant A per kilogram of water. Fifty percent of the population died when exposed to forty-five milligrams of pollutant A per kilogram of water. Eighty percent of the population died when exposed to sixty milligrams of pollutant A per kilogram of water. Ninety percent of the population died when exposed to eighty milligrams of pollutant A per kilogram of water. One hundred percent of the population died when exposed to one hundred milligrams of pollutant A per kilogram of water.A local manufacturing plant reports a spill that released pollutant A into the local watershed. Pollutant A is a toxic substance. Local officials must determine if the residents should be evacuated from the area. Initial groundwater samples show pollutant levels at 45 mg/kg of water. Which decision is supported by the empirical evidence provided by the dose-response curve? Evacuation is not needed; continue groundwater monitoring. Residents should be evacuated until levels decrease. The spill no longer needs to be monitored. Residents should only evacuate above LD50. GEOMETRY HELP PLEASE ASAP!!1 describe hamiltons argument that having a bill of rights could actually make it morelikely that congress would be able to violate peoples rights