solve x²-24x+14=0 by completing the square. what are the solutions​

Answers

Answer 1

Answer:

x=±√130+12

I believe :-)


Related Questions

X − (5 − 3x) ≤ 2x − 1 Group of answer choices Number line with a filled circle at -1 and shading to the left Number line with a filled circle at -1 and shading to the right Number line with a filled circle at 2 and shading to the right Number line with a filled circle at 2 and shading to the left

Answers

Given:

The inequality is

[tex]x-(5-3x)\leq 2x-1[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]x-(5-3x)\leq 2x-1[/tex]

[tex]x-5+3x\leq 2x-1[/tex]

[tex]4x-5\leq 2x-1[/tex]

Subtract 2x from both sides.

[tex]4x-5-2x\leq 2x-1-2x[/tex]

[tex]2x-5\leq -1[/tex]

Add 5 on both sides.

[tex]2x-5+5\leq -1+5[/tex]

[tex]2x\leq 4[/tex]

Divide both sides by 2.

[tex]x\leq 2[/tex]

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.

Jeremy is saving up to buy a new video game system. Two weeks ago, Jeremy only had $14.75. He has worked for 26 hours at the local grocery store, where he earns $10.15 per hour. If the video game system costs $400.00, how many more hours must Jeremy work before he can purchase the system?

Answers

Answer:

12 more hours

Step-by-step explanation:

$400 is the cost (LESS) $14.75 that he has already

Total needed is now $385.25

He worked 26 hours at 10.15 = $263.90 that he already has

$385.25-$263.90 = $121.35

$121.35 Divided by his hourly wage of $10.15 = 11.95 (or 12 hours)

why is it better to use the metric system rather than the English system in scientific measurement.
A. the English system uses one unit for each category of measurement

B.the metric system uses one unit for each category of measurement

C. the English system uses consistent fractions that are multiples of 10

D. the metric system utilizes a variety of number conversions ​

Answers

Answer:

B

Step-by-step explanation:

The metric system uses one unit for each category of measurement.

Which set contains the value below?

50


A.irrational B.Natural C. rational D.Integers

Answers

Answer:

A or d

Step-by-step explanation:a or d

A or d

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

We need to find which set contains the value 50.

What are real numbers?

Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers.

Here, 50 is not an irrational number.

Rational numbers: A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Here, 50=50/1 is a rational number.

Natural numbers: Natural numbers are the numbers that start from 1 and end at infinity.

So, 50 is a natural number.

Integers: An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

So, 50 is an integer.

The set of natural numbers, rational numbers and integers contain 50. Therefore, options B, C and D are the correct answer.

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(2x−6)+4(x−3) i need this answer

Answers

Answer:

(2x-6)+4(x-3)

2x-6+4x-12

6x-18

6(x-3)

The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.

Answers

Answer:

349.02 / 42 = answer

Step-by-step explanation:

method used is dividing total cost by number of goods used gives the exact cost of each plant

Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. What is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.

Answers

Answer:

n = 5

Step-by-step explanation:

100,000 = 10^n

Take the log of both sides

log 100,000 = log 10^n

log 100,000 = n * log 10

Dividing both sides by log 10

log 100,000 / log 10 = n * log 10 / log 10

n = log 100,000 / log 10

= 5 / 1

n = 5

write 4.9 × 10^5 in standard form

Answers

Answer:

30.7

Step-by-step explanation:

Please help me with this question

Answers

Answer:

3n + 3

Step-by-step explanation:

Mia is correct

When n= 1 ,  3n + 3 = 3*1 + 3 = 3 + 3 = 6

When n =2, 3n + 3 = 3*2 + 3 = 6 + 3 = 9

When n = 3 , 3n +3 = 3*3 + 3 = 9 + 3 = 12

When n = 4, 3n + 3 = 3*4 + 3 = 12 +3 = 15

plz help im biog help

Answers

Answer:

1.06 = 19.08

x = $5.75

The cost of the cat food is $5.75.

Step-by-step explanation:

12x - 7 = -3x + 8

Uhhh answer plsss

Answers

Answer:

x = 1

Step-by-step explanation:

Rearrange

12x + 3x = 8 + 7

Simplify

15x = 15

x = 1

One company buys a new bulldozer for $130800. The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800. Express the value of the Bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation

Answers

Given :

One company buys a new bulldozer for $130800.

The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.

To Find :

The value of the Bulldozer, V, as a function of how many years old it is, t.

Solution :

Let, the equation is :

V = mt + c     .....1)

For, t = 0 years

V = m(0) +c  = $130800.00

c = $130800.00

For, t = 20 years

V = 20m + c = $19800.00

Putting value of c in above equation, we get :

20m +  $130800.00 = $19800.00

m = (19800.00-130800.00 )÷20

m = -5550

Putting value of m and c in equation 1, we get :

V = -5550t + 130800

Hence, this is the required solution.

Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10. 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145.

Answers

Answer:

D. He multiplied the divisor by 100 and the dividend by 10.

Step-by-step explanation:

From the question: The following steps are given:

754 divided by 0.52.

754 = Dividend

0.52 = Divisor

Step 1

7540 ÷ 52

This is where he made his error,

He multiplied the divisor by 100 and the dividend by 10.

The correct step would be

To Multiply both the Divisor and the Dividend by 100

= 75400 ÷ 52

Option D is the correct option

Answer:

The answer is D

Step-by-step explanation:

Hope this helped! :)

The perimeter of a rectangular field is 358 m.
If the width of the field is 84 m, what is its length?

Answers

Answer:

95m

Step-by-step explanation:

So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)

(84+84+95+95=358)

(1,6) (3,4) what’s the slope?

Answers

Answer: m = -1

The slope is -1

Plz mark brainliest:)

Slope is -1

Have a great day

PLS HELP ME ASAP!!!!!!!!

Answers

Answer:

All of the above

Step-by-step explanation:

because all are correct

Which sequence of transformations will generate triangle A'B'C' from triangle ABC?

Answers

Answer:

C !!

when u reflect it the point "C" will be on -1,-1 and when u move it to the right two units it'll end up at point 1,1 matching it with point C'

the answer is C
explation

Can anyone help me out with this Algebra 2 question?

Answers

Answer:

i was taught it would be answer D

Step-by-step explanation:

Answer:

The right answer is C

and this how it looks like on the graph

Ashley has 6,452 buttons that need to be sorted equally into 25 jars. How many buttons will be in each jar? How many buttons will be leftover??? Pls answer.

Answers

161,300 because it says “each” and that means u have to multiply

What equation could represent the situation shown in this model? What is the value of `x`?
Select one:

9x+4=24+x; x=2.5

9x=24+x; x=3

4x=24; x=6

9x=28+x; x=3.5
Assessment question image

Answers

Answer:

what>???????????????????/

Step-by-step explanation:

Answer:

9x+4=24+x; x=2.5

Step-by-step explanation:

Find the midpoint of a line segment whose endpoints are (-14, 4) & (6,12)
(-1,5)
(-4,4)
none of these
(1/2,2)
(5,1)

Answers

None of these is the answer

You are baking muffins for your class. There are 17 total students in your class and you have baked 5 muffins. Write and solve an equation to find the additional number x of muffins you need to bake in order to have 2 muffins for each student. Write your equation so that the units on each side of the equation are muffins per student.

Answers

For your first answer 2=x+5/17 your second answer is 29. This is because "x" is the number that you need to bake which is 29. Therefore, 31/17=2

THESE FRKN TEACHERS MAKE NO SENSE THEIR CLUELESS SOMEONE HELP AND JUST WRITE THE ANSWER ​ILL BRAINLLIST

Answers

Answer:

Whats F five is that a point or something???

Step-by-step explanation:

Answer:

OK here:

Step-by-step explanation:

I assume the teacher is saying that you have (d) dollar coins and (f) five cent coins where d and f are unknown numbers numbers. So:

I also assume when the teacher asks how many coins the person has, it is the number of coins total where both a dollar coin and five cent coin count as 1.

a) d + f

b) 3d + f - 7

c) d + f + 25

An aquarium is being filled at a rate of 2.5 inches per second. The equationLaTeX: y=2.5xy = 2.5 x is used to determine the height of the water after LaTeX: xx seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium.

Answers

Answer:

Step-by-step explanation:

Given the equation y = 2,5x

y is the height of the water

x is the time.

To get the range of values of the height at t = 60s, we will substitute x = 60 into the function

y = 2.5(60)

y = 150 in

Hence the range of the situation is [0, 150].

The domain will be all positive integers i.e xEZ

A department store buys 200 shirts at a cost of $1,600 and sells them at a selling price of $10
each, Find the percent markup.

Answers

It would be 160% I think

If there are 300 boys
enrolled in the school,
how many girls are
enrolled in the school?
(Ratio 5 girls for every 6 boys.)

Answers

300 / 6 = 50
50 x 5 = 250 girls


Joe is making a recipe that calls for 4 teaspoon of cinnamon. His only measuring spoon only holds 8 teaspoon. How many times will he need to fill his
measuring spoon to get enough cinnamon for the recipe?

Answers

Answer:

1/2

Step-by-step explanation:

because he will need to fill the 8 teaspoon half way

A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for

Answers

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = [tex]\pi[/tex]

Plug in 3.14 as pi, and plug in the radius:

A = [tex]\pi[/tex]r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

Points C, D, and E are collinear. You are given CD = 18 and CE = 27. What is a possible measure of DE?
0 A 6
B. 7
C. 8
D. 9
HELP PLS

Answers

Answer:

9

Step-by-step explanation:

The measure of DE is 9 units. Therefore, option D is the correct answer.

Given that, points C, D, and E are collinear, CD = 18 and CE = 27.

What are collinear points?

Collinear points are the points that lie on the same straight line or in a single line.

Now, points C, D, and E are collinear.

CE = CD+DE

⇒ 27 = 18 + DE

⇒ DE = 27-18

⇒ DE = 9

The measure of DE is 9 units. Therefore, option D is the correct answer.

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HAVING BAD DAY

Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?

In terms of t, how long did Stanley bike yesterday?

Answers

Answer:

16

Step-by-step explanation:

(2(t3+0.5))=16(2t3+t1)

Answer:

1+2*t

Step-by-step explanation:

I checked it and it seemed right. I think it is. Test it and tell me if wrong. if it is wrong I WILL EDIT THIS

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