how can you solve quadratic equation in one variable using quadratic formula?

Answers

Answer 1

Answer:

Step-by-step explanation:

Here are the steps required to solve a quadratic using the quadratic formula:

Example 1 – Solve: x²-8x+14=0

Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.

Step 2: Use the order of operations to simplify the quadratic formula.

Step 3: Simplify the radical, if you can. In this case you can simply the radical into:

Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.


Related Questions

Select all true statements about the \large \sqrt{36}

Answers

√36 can be taken out of the root as 6. So it's a rational number.

About the perfect square, if we (√36)² then we get 36. and √36 is just 6.

For non-repeating decimal, √36 is already an integer.

After w weeks, a student has saved 25 + 8w dollars. How much money has the student saved after 15 weeks?

Answers

Answer:

145

Step-by-step explanation:

plugin 15 for w then solve it

Which set of three numbers could be the side lengths of a right triangle?
A. 5, 12, 17
B. 6, 12, 24
C. 12, 16, 25
D. 14, 48, 50

Answers

Answer:

if my calculations are correct the answer should be B!!

Step-by-step explanation:

The set of three numbers could be the side lengths of a right triangle is to be considered as the option d. 14,48,50.

What is Pythagoras theorem?

It is a theorem that should be attributed to Pythagoras where the square of the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides.

So based on this we can say that

[tex]50^2 = 48^2 + 14^2\\\\[/tex]

2500 = 2,304 + 196

2,500 = 2,500

Hence, the option d is correct.

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what is a real number​

Answers

Answer:

pi, 7, and 8

Step-by-step explanation:

Nearly any number you can think of is a Real Number

What is the area of the triangle?

Answers

area of the triangle above is 45

HELP!!!! PLZ!!!!!!!!!!!!!!!!!

Answers

Answer: A

Cause 10 divided by 1 is 10

Solve the following equation for x:
x8=9

Answers

Answer: x=9/8

Let's solve your equation step-by-step.

x(8)=9

Step 1: Simplify both sides of the equation.

8x=9

Step 2: Divide both sides by 8.

8x/8=9/8

x=9/8

Answer is x=9/8 and you are welcome

A grocery store advertised a detergent today for $7.99. Why did the store choose to advertise the detergent this way?

A. It is trying to differentiate it from other brands.
B. The store has a shortage of that detergent.
C. Customers' brains tend to notice the first digit first.
D. It wants to encourage customers to donate an extra penny to charity.

Answers

Answer:

C. Customers' brains tend to notice the first digit first

Hope this helps!

Today, a detergent was promoted at $7.99 in a supermarket shop. Because customers' brains tend to notice the first digit first, the business decided to market the detergent in this way.

What is brand promotion?

Brand promotion uses a variety of tools and techniques to sell your brand while showcasing a company's character, values, and objectives.

It may not necessarily entail outright advertising for the goods or services provided, but it always works to get people to support the brand.

The store chooses to advertise the detergent this way so that customers' brains tend to notice the first digit first.

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Which equation justifies why nine to the one third power equals the cube root of nine?

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine

nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine

nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine

Answers

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

In the number 543.872, what digit is in the hundreds place?

Answers

Answer:

7

it's too short. Write at least 20 characters to explain it well.

<B is a complement of <A and m<A = 65.2° find m<B​

Answers

Answer:

Step-by-step explanation:

<B is a complement of <A

=> m<A + m<B = 180°

65.2° + m<B = 180°

m<B = 180° - 65.2° =114.8°

Answer:

24.8

Step-by-step explanation:

Complementary means they add u to 90°. So to find the  measurement of ∠B you must subtract ∠A from 90°. ∠A = 65.2. 90 - 65.2 = ∠B.   90 - 65.2 = 24.80°

Tell whether −0.4848... is terminating or repeating.

Answers

Answer:

repeating.

Step-by-step explanation:

0.4848.......  as you can see, the 48 keeps repeating

Answer:

repeating

Step-by-step explanation:

- 0.48484848.. = - 0.(48) = repeating decimal (periodic)

Good luck !

PLEASE HELP TIMED
In the figure shown, t || x and k || w and m∠3 = 20°. Choose the list which includes all of the other angles that measure 20°.

Answers

Answer:

D. 1, 5, 7, 9, 11, 14, 16

Step-by-step explanation:

Your welcome ;)

The angles whose measurement are same as that of ∠3 are -

∠1 ,  ∠5 ,  ∠7 , ∠9 , ∠11 , ∠14 , ∠16.

What area parallel lines?

Two or more lines that lie in the same plane, equidistant from each other and never intersect each other are known as parallel lines.

Given is a figure in which - t || x and k || w and m∠3 = 20°.

The angles whose measurement are same as that of ∠3 are -

∠3 = ∠1             (Vertically opposite angles)

∠3 = ∠5            (Alternate interior angles)                     ... [1]

∠5 = ∠7            (Vertically opposite angles)

∠3 = ∠7             ( from [1] )

∠4 = 180 - ∠3                     (Straight angle)

∠4 = ∠10                             (opposite angles of a parallelogram are equal)

∠10 = 180 - ∠9                    (Straight angle)

We can write -

∠4 = ∠10

180 - ∠3 = 180 - ∠9

180 - 180 - ∠3 = - ∠9

∠3 = ∠9                                                        .... [2]

∠9 = ∠11

∠3 = ∠11                ( from [2] )                                           .... [3]

∠11 = ∠14              (Alternate interior angles)

∠3 = ∠14               ( from [3] )                                               .... [4]

∠14 = ∠16                  (Vertically opposite angles)

∠3 = ∠16                    ( from [4] )    

Therefore, the angles whose measurement are same as that of ∠3 are -

∠1 ,  ∠5 ,  ∠7 , ∠9 , ∠11 , ∠14 , ∠16

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[The given question is not complete. Refer to the image attached for complete question]

help me can you explain the answer for this question ​

Answers

Answer: Brand C because...

Step-by-step explanation:

Brand A= 0.23 for 1 ounce

Brand B=0.225for 1 ounce

Brand C= 0.21 for 1 ounce

Brand D= 0.25 for 1 ounce

Maxwell used the diagram below to help determine 75% of 24. Which expression could Maxwell have used to find 75% of 24?

Answers

Answer:

you would  divide 24 by 4. and you should get 6. multiply 6 by 3 and 18 is your anwser.

Step-by-step explanation:

Answer:

C (3/4)(24)

Step-by-step explanation:

Which expression is equivalent to -3(x+ 4)?

A. x (-3+4)
B. x+4(-3)
C. -3x+1
D. -3x - 3(4)

Answers

Answer:

-3 ( x + 4) = -3x-3 (4) it's option D

D is the correct answer

Allison works in a department store selling
clothing. She makes a guaranteed salary of $350
per week, but is paid a commission on top of her
base salary equal to 15% of her total sales for the
week. How much would Allison make in a week in
which she made $300 in sales? How much would
Allison make in a week if she made xx dollars in
sales?

Answers

Answer:

a. $395

b. $(350 + 0.15x)

Step-by-step explanation:

Her income in a week can be written as;

$350 + 15% of sales

a. In the case of $300 sales in a week

Mathematically, that would be;

$350 + 15% of $300

$350 + (15/100 * 300)

$350 + $45 = $395

b. In the case of $x in sales

= $350 + 15% of x

= $350 + (15/100 * x)

= $350 + 0.15x

= $(350 + 0.15x)

h. Four businessman invested a sum of Rs.
250000 in the ratio of 3:5:7:10 to start
a new bushess
i) Find the sum invested by each of them
i At the end of the year, if they gained
Rs 50,000 divide the profit among them in the ratio of their shapes
.​

Answers

Answer:

The answers are in solutions.

Step-by-step explanation:

Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

1^st businessman invested:

[tex]\frac{3}{25} * 250,000 =[/tex] Rs. 30,000

2^nd businessman invested:

[tex]\frac{5}{25} * 250,000[/tex] = Rs. 50,000

3^rd businessman invested:

[tex]\frac{7}{25} *250,000[/tex] = Rs. 70,000

4^th businessman invested:

[tex]\frac{10}{25} *250,000[/tex] = Rs. 100,000

If they gained Rs. 50,000

(ii) The profit each one of them got is;

1^st businessman got:

[tex]\frac{3}{25} * 50,000[/tex] = Rs. 6,000

2^nd businessman got:

[tex]\frac{5}{25} *50,000[/tex] = Rs. 10,000

3^rd businessman got:

[tex]\frac{7}{25} *50,000[/tex] = Rs. 14,000

4^th businessman got:

[tex]\frac{10}{25} *50,000[/tex] = Rs. 20,000

Is 3x - 4 = 12 a literal equation? *

Answers

Answer:

x = 16/15

Step-by-step explanation:

3x - 4 = 12

~Add 4 to both sides

3x = 16

~Divide 3 to both sides

x = 16/15

Best of Luck!

Divide up to two decimal places.
12427 by 349
explanation please! thankyou.​

Answers

12427÷349

35.60744985673352

= 35.61(2d.p)

Explanation:

When you divide it you get 35.60744985673352

To leave it in to 2 decimal place, you are to consider the the third number after the point which in this case is 7. So you check if it is greater than or equal to or less than 5. If it is greater than or equal to 5 you carry forward 1 to the next digit to the left which is 0 in this case which will give you 1, then you retrieve the number plus the first two decimals after the point to get 35.61(2d.p).

A) During February, Kevin will water his ivy every third day and water his cactus every fifth day. On which date will Kevin first water both plants together? (Enter just the number, not the month)
B) During February, Kevin will water his ivy every third day and water his cactus every fifth day. After the first time he waters them together, will Kevin water both plants together again in February?
It’s ok if you answer one. Thank you

Answers

Answer:

A. 5th day                   B. Yes

Step-by-step explanation:

Ivy:             3,6,9,12,15

Cactus:      5,10,15,20,25

Right now that would be the 5th day. So yes, he will water them again in February.

what is the answer to 10 x p + 7 x t

Answers

Answer:

10p +7t

Step-by-step explanation:

Hope this helps.

If DM = 60, what is the value of r?

Answers

Answer:

it’s 11.

Step-by-step explanation:

The value of r if DM = 60 according to the question is; 11

According to the diagram given;

The line DM = DG + GM

where DG = 4r and GM = r + 5

The line DM is therefore;

60 = 4r + r + 5

5r = 55

r = 55/5

r = 11.

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Given the function: f (x) = StartRoot 3 x + 6 EndRoot What is the inverse function of f(x)? f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2 f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ 0 f –1(x) = – 6x2 – 3, x ≥ –2 f –1(x) = – 3x2 – 6, x ≥ 0

Answers

Answer:

f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2

Step-by-step explanation:

answer is A on edge

The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].

Here,

A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]

We have to find the inverse of given function.

What is Inverse function?

An inverse function is a function that undoes the action of the another function.

Now,

A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]

To find inverse function,

Replace f(x) by y in the equation,

[tex]y = \sqrt{3x + 6}[/tex]

[tex]y^{2} = 3x + 6\\y^{2} -6 = 3x \\x = \frac{y^{2} - 6\\}{3}[/tex]

Replace every x by a y and solve for y, we get;

[tex]y = \frac{x^{2} - 6\\}{3}[/tex]

Replace y by [tex]f^{-1} (x)[/tex], we get,

[tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex]

Hence, The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].

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Find the term between 21 and 153

Answers

Answer:

22,23,24... 152

Step-by-step explanation:

term= between the given

4y−7+2y=3(y−1)−1 answer for y

Answers

the answer to your question is y=1

Answer:

y = 1

Step-by-step explanation:

4y−7+2y=3(y−1)−1

6y −7 = 3y - 3 - 1

6y −7 = 3y - 4

6y = 3y + 3

3y = 3

y = 1

Several properties are used to evaluate this expression. Identify the property used in each step.
21 + (36 + 0 + 19)
21 + (36 + 19)
21 + (19 + 36)
(21 +19) + 36:
40 + 36
76

Answers

addition propertyyyy

Answer:

step one is the identitey  property step 2 is the communative property step 3 is the associative property

Step-by-step explanation:


Question 2
Find the slope of the line that passes through (-3,-1) and (2,1).

Answers

Answer: 2/5

Step-by-step explanation:

1--1         2            2

-------  = ------ =   -----

2--3       5            5

I'm 100% sure this time

The formula a=1w gives the area A of a rectangle with length I. What is the area in square feet of a rug with a length of 13 feet and a width of 6 feet

Answers

Answer:

78

Step-by-step explanation:

Multiply 13 by 6

The denominator of a fraction is one more than the numerator. If 3 is subtracted to
the numerator and to the denominator, the resulting fraction is equivalent to 1 . What is the 2
original fraction?

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

let the original fraction be

[tex]\frac{n}{n+1}[/tex] ( with denominator 1 more than numerator )

Subtracting 3 from numerator/ denominator gives

[tex]\frac{n-3}{n+1-3}[/tex] = [tex]\frac{n-3}{n-2}[/tex]

Given that the fraction is now equivalent to [tex]\frac{1}{2}[/tex] , then

[tex]\frac{n-3}{n-2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2(n - 3) = n - 2, distribute left side

2n - 6 = n - 2 ( subtract n from both sides )

n - 6 = - 2 ( add 6 to both sides )

n = 4

and n + 1 = 4 + 1 = 5

Thus original fraction is [tex]\frac{4}{5}[/tex]

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