cker
Examine the following equation.
2x² – 5x – 7 = 0
Which expression can be used to find the solutions to the equation?
0 5+787
4
-5+781
4
0 -53731
4
5:31
4

CkerExamine The Following Equation.2x 5x 7 = 0Which Expression Can Be Used To Find The Solutions To The

Answers

Answer 1

The expression which can be used to find the solutions of the given equation is option (a) [5 ± √81] / 4.

What are Quadratic Equations?

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

The given quadratic equation is,

2x² - 5x - 7 = 0

The solutions of a quadratic equation can be found using the quadratic formula.

Quadratic formula for ax² + b x + c = 0 is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a, where [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.

From the given equation,

a = 2, b = -5 and c = -7.

Solution can be found as,

x = -(-5) ± [tex]\sqrt{(-5)^2-(4*2*-7)}[/tex] ] / (2 × 2)

  = [5 ± √(25 + 56) ] / 4

  = [5 ± √81] / 4

Hence the solution can be found as [5 ± √81] / 4.

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Related Questions

example of a 400 word essay which choosing a college

Answers

Your first paragraph should grab the reader
Try starting with a question.
Begin with a bold statement.
Use an interesting quote.
Put the reader in medias res, that is, in the middle of things. ...
Challenge the reader by speaking directly to him/her.
Tell the reader what you do NOT want to do in your writing.

Jim has 28 mangoes he gave Tom 8 how many does Jim has

Answers

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

Calculate the distance traveled when moving at a rate
of 60mph for 3.5hrs.

Sentence Answer

how did we get this answer ​

Answers

Answer:

dist = 60 mph * (3.5 hrs) = 210 miles

The answer is 210 Miles

Help with number 3 please :)

Answers

Answer:

32

You’re... welcome?

Answer:

32

Step-by-step explanation:

The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.

PLS ANSWER PLS DUE TODAY

Answers

Answer:

radius of semi circle is 16mm.

diameter of semi circle is 32mm.

perimeter of triangle=sum of all sides.

perimeter of triangle = 20mm+20mm+32mm

perimeter of triangle =72mm

perimeter of semi circle=pi×r

perimeter of semicircle = 3.14×16mm

perimeter of semicircle =50.24mm

perimeter of the figure= 72mm+50.24mm=122.24mm

(9m + 10) x2

please solve this if u do u get 30 points

Answers

Answer:

18m+20

Step-by-step explanation:

Hope this helps ya

The following amount was assigned to each. A penguin was $9, an octopus was $36, and ant was $27. Based on this information, how much will be given to a pig?

Answers

Answer:

$14

Step-by-step explanation:

Answer:

Is there options because this question not that in depth  

Step-by-step explanation:

Emma and Paul each invest $2,000 into
accounts that earn 6% interest. If Emma's
account earns simple interest and Paul's
account earns compound interest, which is the
value of each person's account after 8 years?
A. Emma - $2,960; Paul - $3,187.70
8. Emma - $960; Paul - $3,187.70
C. Emma - $2,960; Paut- $ 1,187.70

Answers

The answer to the question is C

The value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

What is interest?

Interest is the money you pay on top of the amount you borrow which compensates lenders for making their money available as well as the risk they take.

For the borrower, it is like a rental cost, while for the lender it is an income for lending – for risking their money and doing without it for a given period.

Given that, Emma and Paul invested $2,000 into accounts that earn 6% interest.

Emma invested in Simple interest and Paul invested in compound interest,

We need to find the amount of both after 8 years.

Formula to be used =

Simple interest = PRT / 100 [p = principal, r = rate and t = time]

Compound interest =

A = P(1+r)ⁿ [a = amount, p = principal, rate = rate, n = time]

So,

Emma's account after 8 years =

2000 × 6 × 8 / 100 + 2000 = $2960

Paul's account after 8 years =

A = 2000(1+0.06)⁸

A = $3187.7

Hence, the value of each person's account after 8 years is Emma - $2,960; Paul - $3,187.70

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HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER

Answers

Answer:

C (0,-2)

Step-by-step explanation:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.

As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading

Note that this equation is linear since all of the terms in  

x and y are of degree at most  1.

What is the volume of the figure?

Answers

Answer:

47.12

Step-by-step explanation:

same as the last question

The table shows the prices for peanut butter sold in jars of different weights. Which size jar is the best buy?


NO ANSWERS FROM UNKNOWN FILES OR I'LL REPORT IT!!!

Answers

Answer: 48 oz is the best buy

Step-by-step explanation:

You can get way more for cheaper considering 24oz costs $19.12 and if you do 24x2 you get 48 so if you buy 2 of the 24oz ones you have to pay $18.24

HOPE THIS HELPS ^^

Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?

Answers

Answer:

Quincy's claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval decreases is the sample size increases, that is, if the sample size increases, the width of the interval decreases.

In this question:

Sample size of increases to 30 from 24, which means that the width of the interval will decrease.

Quincy's claim is correct.

Dawn is baking an Apple pie she has a European recipe that calls for 1500 decigrams of sugar. how many cups of sugar will she need?​

Answers

Answer:

she needs exactly 3 cups

Step-by-step explanation:

whoever gets this correct first gets brainlest

Answers

20 sides is the answer


It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.

Answers

Answer: 120.

Step-by-step explanation: $30 divided by $0.25

29.50-30=.50 .50/.25=2 you can ride 2 rides

Does 30, 20, and 16 make a right triangle?

Answers

Answer:

no I don't think it does make a right triangle

Answer:

No i don't think it does..

Step-by-step explanation:

um trust me?

what is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?

Answers

Answer:

y = -6/5x - 5

Step-by-step explanation:

Use rise over run to find the slope of the line, and the -5 comes from the y-intercept

3.65 is greater than or less than 3and1/5​

Answers

3.65 is greater than 3 1/5 since if you put 1/5 in decimals, it would be 3.20.

Answer:

Greater

Step-by-step explanation:

It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!

PLEASE HELP!
Find the area and circumference of the following. Leave in terms of pi. * 2 poir
16
Area = 100pi and Circumference = 50 pi
Area = 256pi and Circumference = 32 pi
Area = 100 pi and Circumference = 55 pi

Answers

Answer:

B. Area = 256pi & Circumference = 32pi

Step-by-step explanation:

Area = pi r^2

A = pi (16)^2

A = 256pi

Circumference = 2pi r

C = 2(pi)(16)

C = 32pi

Fill in the blank to complete the identity.
sin x =_____(COS X)

A) sec x

B) cot x

C) tan x

D) csc x

Answers

Answer:

answer will be option c tan x

pls Mark as brainliest

Helppppppp plZ I’ll mark you brainlist

Answers

Answer:

the picture isnt loading. it says error.

Step-by-step explanation:

Answer:

Ummm Don't know

Step-by-step explanation:

What is the solution set of x2 – 10 = 30x?

{–220, 250}
{–250, 220}
{15 – StartRoot 235 EndRoot, 15 + StartRoot 235 EndRoot}
{–15 – StartRoot 235 EndRoot, –15 + StartRoot 235 EndRoot}

Answers

9514 1404 393

Answer:

  (c)  {15 -√235, 15 +√235}

Step-by-step explanation:

For solutions p and q, the trinomial is ...

  (x -p)(x -q) = x² -(p+q)x +pq

That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.

The sums of roots in the answer choices are ...

  a) 30

  b) -30

  c) 30

  d) -30

We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.

The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.

_____

The product of the roots of C is ...

  (15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required

Answer:

C

Step-by-step explanation:

A rectangular plaza measures 3/8 mile by 4/5 mile. What is its area?​

Answers

Answer:

3/10

Step-by-step explanation:

then after reducing you get 3/10

                 

The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have a rectangular plaza that measures 3/8 mile by 4/5 mile.

Here the length L = 3/8

And width W = 4/5

Area of rectangular plaza = L×W = (3/8)×(4/5)

= 12/40 square miles or

= 0.3 square miles

Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

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Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!

Answers

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]

Answer:

the second option is correct

Step-by-step explanation:

The drawing below shows the dimensions of Kim’s kite.

What is the are of Kim’s
kite?
F 32 square inches
G 48 square inches
H 96 square inches
J 120Square inches

Answers

I believe it is choice G.

it's that one

Step-by-step explanation:

okayyy so uhh

QUICK 20 POINTS !!
Use the equation machine to solve this equation.

x = __

Answers

Answer:

x=2 (-7 , then -5 for the drag part)

Answer:

2

Step-by-step explanation:

Find the equation of the line specified.
The slope is -7, and it passes through ( 5, -3).
a.
y = -7x - 3
c.
y = -14x + 32
b.
y = -7x + 32
d.
y = -7x - 38

Answers

Answer and working out attached below. Hope it helps

-3y-5=10 Show your work please, thank you.

Answers

Answer:

-5

Step-by-step explanation:

-3y = 10 + 5

-3y = 15

y = - 5

Answer:

hi

Step-by-step explanation:

-3y-5=10

-3y=10+5

-3y=15

y=15/ -3

y= -5

hope it helps

have a nice day

Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour. Determine the following: a) Probability of no orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement b) Probability of 3 or more orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item b) of the question statement c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001. Round your answer to two decimal places (e.g. 98.76).

Answers

Answer:

a) 0.39984 = 39.984% probability of no orders in five minutes.

b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) The length of time is 0.63 hours

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.

This means that [tex]\mu = 11h[/tex], in which h is the number of hours.

a) Probability of no orders in five minutes.

Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]

This probability is P(X = 0). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

0.39984 = 39.984% probability of no orders in five minutes.

b) Probability of 3 or more orders in five minutes.

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]

[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]

0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.

This is h for which:

[tex]P(X = 0) = 0.001[/tex]

We have that:

[tex]P(X = 0) = e^{-\mu}[/tex]

And

[tex]\mu = 11h[/tex]

So

[tex]P(X = 0) = 0.001[/tex]

[tex]e^{-11h} = 0.001[/tex]

[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]

[tex]-11h = \ln{0.001}[/tex]

[tex]h =-\frac{\ln{0.001}}{11}[/tex]

[tex]h = 0.63[/tex]

The length of time is 0.63 hours

What number should be added to both sides of the equation to complete the square? x^2-40x=0

Answers

Answer:

+40

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

When completing the square, all you need to do is take half the coefficient of x, and square it.

In this case the coefficient of x is -40, and half of that is -20.  -20 squared is 400, and that is what you need to add to both sides.

Note that when completing the square, you'll always be adding a positive number unless coefficient you're working with is an imaginary or complex number.

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