Which shows the equation below written in the form ax^2+bx+c=0 ? x^2+8x+10=3

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]

Step-by-step explanation:

We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.

We are given the equation:

[tex]x^2+8x+10=3[/tex]

We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.

It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.

[tex]x^2+8x+10-3=3-3[/tex]

[tex]x^2+8x+(10-3)=0[/tex]

[tex]x^2+8x+7=0[/tex]

The equation in standard form is x²+8x+7=0


Related Questions

Find (f/g)(x)
f(x)=√ x^2-1
g(x)√ x-1

A. √ x+1
B. √ x-1
C.√ -x^2/-x+1
D.√ 1/x+1

Answers

Answer:

option A is the Answer

Step-by-step explanation:

hope it helps

What is 820 milliliters equal to in liters?

Answers

Answer:

0.82 L

Step-by-step explanation:

Answer: 0.82 liters

Step-by-step explanation:

A social researcher is interested in the number of children in the households of City A that receive welfare. He does not have funding for a census nor access to official city records. How can the researcher accomplish his task using descriptive statistics tools?

Answers

Answer:

Descriptive Statistics is used to   collect, organize and  summarize sample data.

Step-by-step explanation:

Descriptive Statistics is used to   collect, organize and  summarize sample data.

First of all he will collect a sample or maybe samples. A sample is a subset of the data drawn from the population. Here it will be the number of children from different households.

Populations can be described by parameters . These parameters can be inferred on the sample parameters. For example the population mean ,  population variance can be estimated by sample mean and sample mean.

These variables can be further categorized as discrete.

Now he will apply various test to check whether the inferences drawn about the population are true or not.

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examining the records for all the students, the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid. Calculate the standard error of your estimate. 3.7061

Answers

Answer:

 Standard error (S.E) =  0.048  ≅ 0.05

Step-by-step explanation:

Explanation:-

Given  sample size 'n'=76

Given the dean who randomly selects 76 students and finds that 58 out of 76 are receiving financial aid.

Sample proportion

                         [tex]p = \frac{x}{n} = \frac{58}{76} = 0.7631[/tex]

The standard error is determined by

                     [tex]S.E = \sqrt{\frac{p(1-p)}{n} }[/tex]

                     [tex]S.E = \sqrt{\frac{0.763(0.2369}{76} }[/tex]

  Standard error is 0.048  ≅ 0.05

A rectangle has a length of x+ 4 centimeters and a width of x centamentere the perimeter of the rectangle is 28cm what is the value of x

Answers

Answer: The perimeter of the rectangle is 28 centimeters.

Step-by-step explanation: I hope this helps-

Answer:

x=10

Step-by-step explanation:

x+4+x=24

2x=20

x=10

Jacob went to the movie theater. The movie ticket cost him $8.00. He spent twice the amount of the movie ticket at the concession stand. How much did he spend at the movie theater in all?

Answers

$24.00 brainest pls

Answer:

24$

Step-by-step explanation:

pls ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR

Answers

Hi there!

[tex]\large\boxed{ 9.4m}[/tex]

Find the perimeter using the formula:

P = 2l + 2w

It is given that the dimensions are 2.8 × 1.9 so plug these number into the equation:

P = 2(2.8) + 2(1.9)

P = 5.6 + 3.8

P = 9.4m

Help with quadratic! Really struggling with this

Answers

Answer:

Step-by-step explanation:

The equation

[tex]G(h)=-3h^2+24h+47[/tex]

represents the grade you are going to earn which is represented by G(h) where h in the equation is the hours you study the week before.

Part A) Is totally up to you because in the question it asks What's the best possible grade you can earn with your current study habits lets say if you study around 4 hours the week before the test. Which means the value of h should be 4 because h represents hours in the equation.

so ,

[tex]G(h)=-3h^2+24h+47\\G(4)=-3(4)^2+24(4)+47\\G(4)=-48+96+47\\G(4)=95\\[/tex]

So if you studied for 4 hours the week before the test you are going to score 95 marks which would be an A* grade.

Part B) In this part it asks you the maximum amount of study time you will need to have to earn that grade which means how many maximum hours you would need to earn a total of 95 marks which is 4.

Part C) The y-intercept is the constant in the equation in this case +47 is y-intercept and in the context of the problem it denotes that if you studied for 0 hours you would still earn 47 marks on the test, which would result you failing the test.

Part D) How many hours would you need to complete and still earn a zero would be:

[tex]G(h)=-3h^2+24h+47\\-3h^2+24h+47=0[/tex]

because it says still earn a zero which means the grade is zero so now we solve the equation.

[tex]-3h^2+24h+47=0\\3h^2-24h-47=0\\[/tex]

using the quadratic formula we get two values for h which are

h = 9.627 and h = -1.627 so eventually hours can never be in negative its impossible you can't study for -1.627 so our answer is 9.627 hours and you would still earn a zero after studying approximately 9.6 hours.

Part E) The grade that you will earn if you studied for 5 hours is:

[tex]G(h)=-3h^2+24h+47\\G(5)=-3(5)^2+24(5)+47\\G(5)= -75+120+47\\G(5)=92\\[/tex]

You would earn 92 marks which would result in an A* grade

Answer:

(A) 95

(B) h=4

(C) 47, represents 0 hours of study

(D) h=9.63

(E) 92

Step-by-step explanation:

(A) They are asking for the maximum of the graph of the equation which can be found using the vertex formula:

[tex]max= c-\frac{b^2}{4a}[/tex]

where 'a' is the coefficient of the first term, 'b' is the coefficient of the second term and 'c' is the third term.

So we have:

[tex]max=47-\frac{(24)^2}{4(-3)} = 95[/tex]

(B) To find the hours of study required to get 95 we need to set the equation equal to 95:

[tex]-3h^2+24h+47=95[/tex]

which can be rewritten as:

[tex]-3h^2+24h+47-95=0[/tex]

or

[tex]-3h^2+24h-48=0[/tex]

When we solve for 'h' we get h = 4

Therefore, studying 4 hours gives us a grade of 95, which is the maximum score from the equation.

(C) The function G(h) is our y and h is our x values. To find the y intercept, x (which is h in the equation) must be set to 0 and solved for y. This is because the y intercept is at the point where x =0.

So we have:

[tex]G(h)=-3(0)+24(0)+47\\ =0+0+47\\ =47[/tex]

This is when h=0 and therefore is represents the grade when 0 hours of studying is done.

(D) To find how many hours of study can still produce a grade of 0, we need to set the function equal to 0 and solve for h.

[tex]-3h^2+24h+47=0\\[/tex]

This gives us two results when solved quadratically:

[tex]h=-1.63[/tex] and [tex]h=9.63[/tex]

Obviously, time cannot be negative so the answer is 9.63 hours.

(E) If we study for 5 hours, h should be equal to 5.

So substituting 5 for h we get:

[tex]-3(5)^2+24(5)+47=92[/tex]

So 5 hours of study affords us a grade of 92.

Hope that explains it.

helpppp????



please .

Answers

should be the second one

Answer:

x = -4

Step-by-step explanation:

[tex]6x + 29 = 5 \\ 6x = 5 - 29 \\ 6x = - 24 \\ x = \frac{ - 24}{6} \\ x = - 4[/tex]

Jacob is going on a vacation to Australia. His flight leaves at 1:15 P.M. It takes 1 hour to get to the airport, and Jacob wants to be at the airport 1 hour and 15 minutes before his flight leaves. What is the latest time that Jacob can leave for the airport?


Plzzzz help

Answers

Answer:

The latest time is 12:00

Step-by-step explanation:

take an hour away for 1:15 which is gonna be 12:15 then take the 15 minutes away and you get 12:00

Answer:

11:00

Step-by-step explanation:

if he leaves at 11:00 it’s takes an hour to get there. So when he gets there it’s 12:00 Add an hour 15 and you get 1:15

Here are the numbers of children in 15 elementary school classes. 17, 17, 18, 16, 16, 17, 17, 16, 19, 17, 20, 16, 18, 18, 18 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode.' JI​

Answers

Answer:

mode = 17

Step-by-step explanation:

mode is the most common appearance of numbers in a dataset.

17 has 5 appearances

please click the heart button to give thanks :)

Which quantity is proportional 12/4

Answers

3/4 is the answer to your question

Answer:

3/4

Step-by-step explanation:

What is the root of the polynomial equation x (x minus 2) (x + 3) = 18? Use a graphing calculator and a system of equations. –3 0 2 3

Answers

Answer:

D) 3

Step-by-step explanation:

Using the graphing calculator, the roots of the polynomial equation are 3

What are polynomial functions?

They are functions that has a degree of 3 and above. Given the expression

x(x-2)(x+3) = 18

Expand

(x²-2x)(x+3) = 18
x³+3x²-2x² -6x-18 = 0
x³+x² -6x-18 = 0

Using the graphing calculator, the roots of the polynomial equation are 3

Learn more on factoring here: https://brainly.com/question/24734894

#SPJ2


In the figure above, the circle with center O is inscribed in square ABC
Line segment AO intersects the circle at P. What is the length of AP?​

Answers

Step-by-step explanation:

Line AP = Line AO - Line PO = sqrt2 - 1.

How to write the slope intercept for of
y = -1/2 (x-4)

Answers

Answer:

y=-1/2 +2

Step-by-step explanation:

Will give brailyest!!!!

what makes farming possible in Central Asia's dry climate?

a. annual floods.
b. irritation systems
c. seasonal droughts
d. tropical storms​

Answers

Answer:

I think its a

Step-by-step explanation:

Answer: B

Step-by-step explanation: EDGE 2021

QUICK HELP HURRY MAKRIMG PIEPLE AS BRIANLDIT

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Toy shop purchases 125 identical stuffed animals for total cost of 312.50 thousand for seven dollars each what is the percent markup

Answers

Answer:

0.4

Step-by-step explanation:

por que tienes que aser una division

a house worth $350,000 when purchased was worth 335,000 after the first year and $320,000 after the second year. if the economy does not pick up and his trend continues, what will be the value of the house after 6 years? ( process step by step)

Answers

Answer:

260,000

15,000*6 = 90,000

350,000 - 90,000 = 260,000

Step-by-step explanation:

mark brainliest

Match each set of numbers with their least common multiple.

Answers

Answer:

25 and 8) = 200

(32,24 and 18) =288

(22 and 4)=44

(14 and 12) = 84

(9,8 and 7)= 504

(27,12 and 36) =108

Answer:

  top down: 200, 288, 44, 84, 504, 108

Step-by-step explanation:

The least common multiple (LCM) can be figured a couple of ways.

a) factor the numbers, then form the product of unique factors (to their highest powers)

b) divide the product of the numbers by their greatest common factor (GCF). Factoring or Euclid's method can be used to find the GCF.

When there are more than two numbers, the LCM can be figured for two of them, then for that result and the next number, and so on.

__

25 and 8 have no common factors, so their LCM is their product: 200

__

32 and 24 have 8 as their GCF, so their LCM is 32·24/8 = 96. 96 and 18 have 6 as their GCF, so their LCM is 96·18/6 = 288

__

22 and 4 have 2 as their GCF, so their LCM is 22·4/2 = 44

__

14 and 12 have 2 as their GCF, so their LCM is 14·12/2 = 84

__

9, 8, 7 have no common factors, so their LCM is their product: 9·8·7 = 504

__

27 and 12 have 3 as their GCF, so their LCM is 27·12/3 = 108. 108 is a multiple of 36, so their LCM is 108.

Need help Do today please

Answers

Answer:

Step-by-step explanation:

OKay

Just use

slope formula

(y2-y1)/(x2-x1)

Dr. Graves placed the Venn Diagram and list of numbers on the board.
-0.24, 5/17, 287, 1.3, -91, -2 2/5
She asked her students to determine the label for each set of numbers and place each number in the Venn diagram. Which Venn diagram shows the labels and numbers accurately displayed?

Answers

Answer:

J

Step-by-step explanation:

List of numbers on the board:

-0.24, 5/17, 287, 1.3, -91, -2 2/5

We can split the numbers as following

Rational numbers:

All listed

Integers:

287 and -91

Whole numbers:

287

Correct diagram is J

which type of plate boundary is illustrated in each of the following figures below​

Answers

Answer:

SEXXXXXXXZZZZZz

Step-by-step explanation:

AJ is writing a report about Calvin Coolidge. He's including information about the former president's early days. Should he quote directly from a biography of Coolidge or paraphrase the information? Why?️

For the following equation, complete the given ordered pairs.



3x + y = 10 (__, 1), (2, __)





A.
(10, 1), (2, 12)

B.
(0, 1), (2, 3)

C.
(3, 1), (2, 4)

D.
(2, 1), (2, 5)

Answers

Its C
3x3=9+1=10
3x2=6+4=10

Tim worked 23 hours and earned $6.50 per hour. Round the number of hours Tim worked to the nearest ten and round his hourly pay to the nearest dollar to estimate how much he will be paid.

Answers

Step-by-step explanation:

23=20. $6.50=$7

20x7=$140

Answer:

first step is 20. Second step is 7.00$. He will make 140.00$ an hour.

Step-by-step explanation:

Is it SSS or SAS. Please helpp

Answers

I always had trouble with these too.

The correct answer is: SSS

-6•f(-3) - 5.9(-7) khan academy

Answers

-18f - 2.1 Im not sure if this is right
In decimal its 59.3
And in fraction its 593
——
10

Please help me with this problem will give branlyiest.

Mr. Thompson, a retiree, looks at his check register. What is Mr. Thompson's yearly rent (using 12 months)? $______ What was the average grocery expense in this time period? $_________ Knowing that he buys groceries weekly, Mr. Thompson estimates his yearly expense for groceries to be (4*12* $______ or $_____ Then, Mr. Thompson realizes there are more than 48 weeks in a year. He revises his estimate using (52 x $______ to get $_______ for his estimate. Based on the calculations above, how much money should Mr. Thompson budget annually for food and rent? $______ If Mr. Thompson receives $1,006.28 twelve (12) times a year, what is his yearly income? $_______ Expressed as a percent of income, enter an estimate for rent (to the nearest tenth) and food expenses. Rent: ______%; Food: _____%​

Answers

Answer:

$2459.04

$32.31

$33.45 or $34.92

$32.31

$1680.12

$4139.16

$12075.36

20.4% and 3.2%

Step-by-step explanation:

Monthly rent is 204.92, so yearly rent is 204.92 * 12 = 2459.04

His average grocery expenses is the sum of all the grocery expenses, divided by the number of times he did them

33.45 + 34.92 + 28.56 = 96.93

96.93 / 3 = 32.31

33.45 or 34.92

Since he's revising the calculation, and he does groceries once a week, we will multiply the average he spent on grocery by the 52 weeks he's using in calculations. So, 32.31

The estimate for grocery in a year is,

52 * 32.31 = 1680.12

His annual budget for food and rent would be adding the estimated amount he's to spend on grocery together with the estimated amount he's to spend on rent

2459.04 + 1680.12 = 4139.16

If he receives 1006.28 in a month, multiplying by 12 would give us the estimate he's to receive in a year.

1006.28 * 12 = 12075.36

Percentage

Rent = 204.92 / 1006.28 * 100%

Rent = 20.4%

Food = 32.31 / 1006.28 * 100%

Food = 3.2%

Don't forget the brainliest :)

Solve the system.
2x + 3y -
2z =
-7
2
x – 2y + 4z = 15
2y + z = = 1
Enter your answer as an ordered triple.
([?],[ ], [ ]
Enter

Answers

Answer:

(1, -1, 3)

Step-by-step explanation:

Given system of linear equations is,

2x + 3y - 2z = -7 ---------- (1)

x - 2y + 4z = 15 ------- (2)

2y + z = 1 ------------ (3)

Equation (2) multiplied by 2 then subtracted from equation (1),

(2x + 3y - 2z) - 2(x - 2y + 4z) = -7 - 30

(2x - 2x) + (3y + 4y) + (-2z - 8z) = -37

7y - 10z = -37 ------ (4)

Equation (3) multiplied by 10 then added to equation (4),

(20y + 10z) + (7y - 10z) = 10 - 37

27y = -27

y = -1

From equation (3),

2(-1) + z = 1

-2 + z = 1

z = 3

From equation (2),

x - 2(-1) + 4(3) = 15

x + 2 + 12 = 15

x + 14 = 15

x = 1

What is 31/26 simplified?

Answers

Answer:

it cant be simplified

Step-by-step explanation:

Answer:

1 5/26 i used a calculator

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