Use the quadratic formula to find the solution to the quadratic equation given
below.
X^2-x+1/4=0

Answers

Answer 1

Answer:

[tex]\displaystyle x=\frac{-1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

x² + x + 1/4 = 0

↓ Compare to Standard Form

a = 1, b = 1, c = 1/4

Step 2: Solve for x

Substitute in variables [Quadratic Formula]:                                                  [tex]\displaystyle x=\frac{-1 \pm \sqrt{1^2 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 4(1)(\frac{1}{4})}}{2(1)}[/tex][√Radical] Multiply:                                                                                           [tex]\displaystyle x=\frac{-1 \pm \sqrt{1 - 1}}{2(1)}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle x=\frac{-1 \pm \sqrt{0}}{2(1)}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle x=\frac{-1 \pm 0}{2(1)}[/tex]Simplify:                                                                                                             [tex]\displaystyle x=\frac{-1}{2(1)}[/tex]Multiply:                                                                                                             [tex]\displaystyle x=\frac{-1}{2}[/tex]

Related Questions

A loan on an investment property closed on July 1st for $765,000 at 5.5% interest amortized over 25 years at $4,697.77 per month. Using a 360-day year, what would the principal amount be after the monthly payment was made August 1st

Answers

Answer:

$763,808.48

Step-by-step explanation:

765,000 - (4,697.77 - (765,000 * .055/12)) =

$763,808.48

Can someone please help me out with this its really urgent Ill mark brainliest

Answers

Answer:

smart dot company c=.50t+12

communication plus c=2.50t

Step-by-step explanation:

smart dot has the starting point of $12 per month already so that would be your y-intercept with the equation being y=mx+b , y being the cost m being the amount of money per hour, x being the time spent, and b being the starting cost.

So with that smart dot would be c=.50t+12

with communication plus not having that starting point it would just be c=2.50t

Given the proportion (a/b) = (c/d), solve for c.

Answers

Answer:

c = da/b

Step-by-step explanation:

a/b = c/d

a/b x d = c

c = da/b

in how many ways can 7 people line if A needs to be first or last and B needs to be in the middle

Answers

Answer:

Assuming person A and person B are part of the 7 people, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.

Step-by-step explanation:

There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.

x²-2x=8
x² - 2x - 8 = 0
x² - 2x - 4x = 0
(x - 2) (x - 4)=0

x - 2 =0 therefore x = 2
or
x - 4 =0 therefore x = 4​

Answers

Answer:

x=4   x = -2

Step-by-step explanation:

x²-2x=8

Subtract 8 from each side

x^2 -2x-8 = 8-8

x^2 -2x  -8=0

What two numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

(x-4) (x+2) =0

Using the zero product property

x-4 =0   x+2 =0

x=4   x = -2

kx - c = 9 solve for x

Answers

Answer:

x = [tex]\frac{9+c}{k}[/tex]

Step-by-step explanation:

Given

kx - c = 9 ( add c to both sides )

kx = 9 + c ( isolate x by dividing both sides by k )

x = [tex]\frac{9+c}{k}[/tex]

you start by isolating the variable by dividing each side by factors that don’t contain the variables
therefore your answer would be x = 9/k + c/k

homework 3 distance and midpoint formulas
find the distance between each pair of points
-6' -5 and 2' 0

Answers

Step-by-step explanation:

-6-2=-8

-5-0=-5

-8^2+-5^2=64+25=89

square root of 89=9.4

can i get some help on this question please? ASAP!!

Answers

Answer:

left is a very good approximately .9 POSITIVE correlation

right is a very good approximately -.9 NEGATIVE correlation

Step-by-step explanation:

There are 3 red marbles and 2 black marbles in a bag. What is the probability of drawing a black marble from the bag two times in a row if the marbles are replaced after each draw?

Answers

Answer:

4/25

Step-by-step explanation:

3 red marbles and 2 black marbles in a bag = 5 marbles

P(black) = black/total = 2/5

Replace marble

3 red marbles and 2 black marbles in a bag = 5 marbles

P(black) = black/total = 2/5

P(black, replace, black) = 2/5 * 2/5 = 4/25

(18x²+11x+1) divided by (x+2)​

Answers

Answer:

It's not divisible

Step-by-step explanation:

18x²+11x+1

= 18x²+9x+2x+1

= (9x+1)(2x+1)

So, you see there's no terms (x+2) so it's not divisible

Although if you simplify it, it'll look like,

18x+51/(x+2)-25

So you can't remove the (x+2)

what is bigger 35% or 2/5

Answers

Answer:

35% = .35

2/5 = 4/10 = .4

.4 >.35

Step-by-step explanation:

At the mall you spent a total of $170.86. You bought 2 pairs pf jeans for $39.95 each, a jacket for
$45.99, and shirts for $14.99 each. How many shirts did you buy?


Answers

Answer:

3

Step-by-step explanation:

Total Money Spent = $170.86

Cost of each jeans = $39.95x2 = 79.9

Cost of each Jacket  = $45.99

Cost of each shirt = $14.99

=79.9 + 45.99

=125.89

=170.86 - 125.89

=44.97

=44.97 / 14.99

=3

Answer From Gauth Math

Tìm nghiệm của đa thức sau:2x mũ 2-5x-3

Answers

bạn tham khảo cách này nha

List the coordinates for the plotted points A, B, C, and D.

Answers

Answer:

A= (3,1) ; B=(-2,-1) ; C=(-4,1) ; D=(-4,0)

Step-by-step explanation:

Plotted points are expressed by (x,y) , where the x is equal to the value that you read on the x plot and y is equal to the value that you read on the y plot.

Use a calculator to find the mean of the data. {21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Answers

Answer:

22.8

Step-by-step explanation:

I just did the math :)

The mean of a given set of data is 22.8.

What is the arithmetic mean?

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}

Here, n = 21

⇒ ∑x = Sum of Observations

⇒ ∑x = 478.8

Mean = ∑x/n

Mean = 478.8/21

Mean = 22.8

Hence, the mean of the given data is 22.8.

Learn more about what Arithmetic means here:

https://brainly.com/question/13000783

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find the unknown anagels in the following figure

Answers

Answer:

ABC=BCD

so, X=60'

Z= 70'

Y=50'

What is the value of 1/4 {38-14} + 3^3 divided by 9

Answers

Answer:

9

Step-by-step explanation:

See the picture for steps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]

[tex]\mathsf{38-14=\bf 24}[/tex]

[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]

[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]

[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]

[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]

[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]

[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]

[tex]\mathsf{= \ 6 + 3}[/tex]

[tex]\mathsf{= \bf 9}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Số hạng đầu và số hạng thứ 2 của một cấp số nhân lần lượt là x+2 và x^2 -4 số hạng thứ 3 của cấp số nhân này là

Answers

Answer:

x³-2x²-4x+8

Step-by-step explanation:

a1=x+2

a2=x²-4⇒q=a2/a1=x-2

⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8

Every year the Lee family has a big family dinner, and everyone brings a mug to exchange. The mugs are put on wooden hangers on the wall, and each wooden hanger can hold 12 mugs. Last year the family had 15 mugs to hang up. This year the Lee family filled three wooden hangers. How many more mugs were brought to the Lee family dinner this year compared to the previous year? *

Answers

Answer:

21 more mugs were brought this year than last year.

Step-by-step explanation:

We can solve by subtracting the initial amount of mugs from the final amount of mugs.

To find the amount of mugs hung up this year, we will use the equation: m = 12w where m = the number of mugs & w = the number of wooden hangers. The 12 represents the amount of mugs per wooden hanger.

We can plug in 3 for w since 3 wooden hangers were filled up and we would get 12(3) = m = 36 mugs

Now we subtract last year's total mugs hung up from this year's total mugs hung up.

We end up with 36 - 15 = 21

Round 2.12747677748 to the nearest ten-thousandth.

Answers

Answer:

2.1275 is 2.12747677748 rounded to the nearest ten-thousandth.

Step-by-step explanation:

Since the hundred-thousandth place is 5 or above, we would round the ten-thousandths place up. THis makes the number 2.1275.

Could someone plz help

Answers

Answer:

The Answer would be 166

Step-by-step explanation:

From 115 to 132 is + 17

From 132 to 149 is + 17

So 149 + 17 = 166

Therefor your answer is 166

Emma is making posters by hand to advertise her school play, but her posters are not the same
length as a standard sheet of paper (the width is the same, though). She has 3 1/2 sheets of paper
left over, which she says is enough to make 2 1/3 posters. How many sheets of paper (and parts of
a sheet) does each poster use?

Answers

Answer:

1 1/2 sheets

Step-by-step explanation:

7/3 x = 7/2

x=3/2

At the scene of an accident on a country road, police find skid marks stretching for 50 m.
Tests on the road surface show that a skidding car decelerates at 6.5 ms-2. Was the car which
skidded exceeding the speed limit of 25 ms-1 (90 kmh-1) on this road?
A. Yes B. No C. The information given is not sufficient.

Answers

Answer:

h and the rest are the best for me 7-Eleven you have to go for your

Step-by-step explanation:

happy new years and hope you have not forgotten you and have been busy happy weekend to your the as is have weekend lot here well the there is you idom not you big very for hard while and there can't a help night get be to good in the world of the world and the world is a doctor that is a good friend and is not a good person .

[(63 ÷ 18)2 − 8] * 5 pls help meee

Answers

Answer:

-5

Step-by-step explanation:

use PEMDAS. In this problem, solve 63 divided by 18 first, the prcoeed from there.

[(63/18)2-8]*5

[(3.5)2-8]*5

3.5*2 is 7

[7-8]*5

[-1]*5 = -5

Prove that angle ADC is congruent to angle CBA

with solution!

Answers

Step-by-step explanation:

< i'll use this too represent angle

this is only presuming that this is a parallelogram and i also don't know what those numbers mean

< ACB = < CAD         (alt <s of DA II CB)             A

< ACD = < CAB        (alt <s of DC II AB)              A

AB is common                                                     S

therefore, ∆ADC is congruent to ∆CBA

if ∆ADC is congruent to ∆CBA

then < ADC = < CBA

Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?

Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.

Answers

To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, getting that it will take 7.6 years for for 21 of the trees to become infected.

Model:

The exponential model for the number of infected trees after t years is given by:

[tex]f(t) = e^{0.4t}[/tex]

How many years will it take for 21 of the trees to become infected?

This is t for which:

[tex]f(t) = 21[/tex]

Thus

[tex]e^{0.4t} = 21[/tex]

Applying the natural logarithm to both sides:

[tex]\ln{e^{0.4t}} = \ln{21}[/tex]

[tex]0.4t = \ln{21}[/tex]

[tex]t = \frac{\ln{21}}{0.4}[/tex]

[tex]t = 7.6[/tex]

It will take 7.6 years for for 21 of the trees to become infected.

For another example of a problem in which an exponential equation is solved, you can check brainly.com/question/24290183.

Please do this ASAP, it’s due in 30 minutes!
Thank you!
No links<3

Answers

Answer:

I think it is -24t+20 if you want to simplify

Step-by-step explanation:

Answer:

-24t + 20

Step-by-step explanation:

First, remove the parentheses

Then, multiply 6 by 5

Then expand 3(2t+4) - 30t + 8

Finally simplify 6t + 12 - 30t + 8

-24t + 20

Hope this helps!

factorise 1000a^2+27b^2​

Answers

1000a+27b with 2 on top of the number

find the indicated functional value for the floor function: f(-3/2)

a. -2
b. 0
c. -1
d. 1

Answers

Answer:

find the indicated functional value for the floor function: f(-3/2)

B. 0

Step-by-step explanation:

hope it helped.

° ° °

The indicated functional value for the floor function is option (C) -1 is the correct answer.

What is floor function?

The floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted floor(x) or f(x). It gives the largest nearest integer of the specified value.

For the givens situation,

The floor function is f(-3/2).

The indicated functional value for the floor function is

⇒ [tex]f(-3/2)= f(-1.5)[/tex]

Here x = -1.5, the indicated functional value should be a greatest integer less than or equal to x.

Thus the indicated functional value of [tex]f(-1.5)[/tex] is [tex]-1[/tex].

Hence we can conclude that the indicated functional value for the floor function is option (C) -1 is the correct answer.

Learn more about floor function here

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Write a linear equation that goes through the points (-8,-1) and (-6,5) with a
y-intercept of 23.

Answers

Answer:

y = 3x + 23

Step-by-step explanation:

Since y-intercept is given, find the slope

m = slope

m = (y2 - y1)/(x2 - x1)

Points: (-8, -1) & (-6, 5)

m = 5 - -1/-6 - -8

m = 6/2

m = 3

Slope-intercept form will be written as y = 3x + 23
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