Solve the equation by completing the
square. Enter the smallest solution first
and round to the nearest tenth.
s2 - 10s - 23 = 0
-
s = [?]
=

Solve The Equation By Completing Thesquare. Enter The Smallest Solution Firstand Round To The Nearest

Answers

Answer 1

Answer:

s ≈ - 1.9 , s ≈ 11.9

Step-by-step explanation:

s² - 10s - 23 = 0 ( add 23 to both sides )

s² - 10s = 23

To complete the square

add ( half the coefficient of the s- term )² to both sides

s² + 2(- 5)s + 25 = 23 + 25

(s - 5)² = 48 ( take square root of both sides )

s - 5 = ± [tex]\sqrt{48}[/tex] ( add 5 to both sides )

s = 5 ± [tex]\sqrt{48}[/tex]

Then

s = 5 - [tex]\sqrt{48}[/tex] ≈ - 1.9 ( to the nearest tenth ) ← smaller solution

s = 5 + [tex]\sqrt{48}[/tex] ≈ 11.9 ( to the nearest tenth ) ← larger solution


Related Questions

Solve for the variable in the following proportion.

1/4 is to 1 1/4 as 2 is to b
B =

Can someone give an explanation?

Answers

Answer:  b = 10

Step-by-step explanation:

We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).

Ratio of (1/4)/(5/4):

(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2

We want 2/b = 1/5 or 0.20

2/b = 0.20

b = 2/0.20

b = 10

--

Check:  Does 10/2 = (1/4)/(5/4)?

Yes

b is 10

You have a savings bank account, you have $35.30 in the account to start.
You deposit $17.50. Then you add in another $25 from your birthday.
Then you have to spend $6.99. But then you saved up another $14.75 that
you want to deposit, after all of those transactions what is your current
BALANCE?

Answers

Answer: $85.56

Step-by-step explanation:

$35.30 +$17.50= $52.80

$52.80+$25 = $77.80

$77.80-$6.99  = $70.81

$70.81+$14.75 = $85.56

Business Math I need help with fraction word problems.

Answers

Answer:

which kind?

Step-by-step explanation:

solve for x, find the measure of all angles. ​

Answers

Answer:

x = 14

angles are 96, 42, 42

Step-by-step explanation:

sum of all angles in a triangle is 180

3x + 3x + 96 = 180

6x + 96 = 180

6x = 180 - 96

6x = 84

x = 14

angles are 96, 3x, 3x

96, 3*14, 3*14

96, 42, 42

Answer:

x=14

Step-by-step explanation:

3x + 3x + 96 = 180º    

6x +96º = 180º

6x = 180º - 96º

6x= 84

x = 14

arsene wenger pushes a box with a force of 60N over a distance 10m calculate the work done

Answers

Answer:

600J

Step-by-step explanation:

work done = force x distance

                  = 60 x 10

                  = 600J

The workdone by arsene wenger in joules is 600J

What is workdone?

Work doneis defined as product of the force and the distance over which the force is applied. It is a scalar quantity and it is measured in Joules.(J)

Workdone is expressed as;

Workdone = f × d

where do is the force and d is the distance.

The force he uses on the box is 60N and the distance he pushes the box is 10m. All quantities in their SI unit.

Therefore, the workdone by arsene wernger is

W = 60 × 10

W = 600J

learn more about workdone from

https://brainly.com/question/25573309

#SPJ3

What is meant by Sets ?

Answers

Answer:

In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.


Audrey and her sister found 9 dimes and 8 pennies. If they share the money equally, how much
money will each sister get?




Answers

Answer:

49 cents that is the answer

Tony has 2/3 gallon of milk.
He wants to equally share the milk between 3 milkshakes.

Which expression represents the amount of milk that will be in each milkshake?

Answers

Answer:  2/9 gallon per shake

Step-by-step explanation:

(2/3)/3

2/9 gallon per shake

(2/9)*(3) = 6/9 or 2/3

Which represents the solution set of 5(x+5) <85?
X<12
Χ> 12
X< 16
Χ<16

Answers

Answer:

[tex]x<12[/tex]

Step-by-step explanation:

[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]

Option A is correct, x<12 represents the solution set of 5(x+5) <85

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5(x+5) <85

We have to find the solution set of the given inequality

Five times of x plus five less than eight five.

Apply distributive property

5x+25<85

Subtract 25 from both sides

5x<85-25

5x<60

Divide both sides by 5

x<12

Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85

To learn more on Inequality click:

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find the common denominator
7/8
3/10
7/10
2/3

Answers

Answer:

240

Step-by-step explanation:

To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.

What is the length of the major axis of 7(x+2)^2+2(y-2)^2=49?

Answers

Answer:

2a=7[tex]\sqrt{2}[/tex] or 7/2

Step-by-step explanation:

hope thats right

Adam has some marbles.
Bradley has twice as many marbles are Adam.
Chris has 5 more marbles than Bradley.
In total they have 55 marbles.
How many marbles does Chris have?

Answers

Answer:

Chris has 25 Marbles

Step-by-step explanation:

If Adam starts with 10, Bradley will have twice as many, meaning Bradley's amount is 20. Making the new total, 30 Marbles. Chris has 5 More Marbles than Bradley, making Chris have 25 Marbles. If you add the total's up, you get 55 Marbles in total.

Hope this helps!!

Graph the function
g(x)=10×3/5​

Answers

Answer:

It is a horizontal line through y-coordinate 6.

Step-by-step explanation:

Because 10*3/5=6.

Name the congruent triangles.

Answers

Answer:

ΔFOX ≅ΔBXO

Step-by-step explanation:

Triangles that has the Same size and shape

Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.

Answers

Answer:

All these statements are true.  See explanations, below.

Step-by-step explanation:

A Line 4y = -16 is horizontal.  TRUE.  Note that y = -4 here.

B. Line 3x = 27 is vertical.  TRUE.  Note that x = 9, which is a vertical line.  

C. For both lines, all points on the line have an x- and a y-coordinate.  TRUE.  But for 4y = -16, the y-coordinate is always the same:  -4; for x = 9, the x-coordinate is always the same.

D. For either line, one of the coordinates of all the points is always the same value.  TRUE (See C above)

Find the distance between the points

a. 4
b. 5
c. 6
d. 7

Answers

Answer:

b. 5

Step-by-step explanation:

Answer: 5
You can use the points to draw a triangle with a length of 3 and a height of 4

We can now use Pythagoras theory: a squared + b squared = c squared:
3 squared + 4 squared = 9 + 16 which is 25. The square root of 25 is 5.

Hope this helps!

10, 18, 26, 34, 42, ...

What is the 15th term of this Arithmetic Sequence

Answers

Answer:

a₁₅ = 122

Step-by-step explanation:

Arithmetic sequence formula:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.

For your given sequence:

[tex]10, 18, 26,34,42,...[/tex]

a₁ is 10

n is 15 (15th term)

d is 8 (each term increases by 8 over the last)

Plug those 3 variables in, and solve for a₁₅:

[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]

what number is 5 times greater then 6

Answers

Answer:

if you are talking about 5x6 then the answer would be 30 but if not please clarify :)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

6x5=30 so I believe the answer to your question to be 30

Q4
The original price of a doll is $36. It is discounted in a sale by 15%.
What is the sale price of the doll?
$

Answers

Answer:

The sale price of the doll is $30.6

Step-by-step explanation:

The original price of the doll

= $36

Discount:-

= 15% of 36

= 15%×36

= 15/100×36

= 5.4

Sale price of the doll

= original price - discount

= $(36 - 5.4)

= $30.6

Please find x and y... I will mark you brainliest

Answers

Answer:

x.=6 y=7

Step-by-step explanation:

glad glad I could help

Answer:

x = 6

y = 7

Step-by-step explanation:

Side AB and side DC is equal so let's put it in a equation.

2y - 8 = y - 1

Use APE or Additive Property of Equality\

2y - y = 8 - 1

y = 7

So the value of y is 7.

Now substitute it to line BC.

y + 6

7 + 6

= 13

Since line BC and line AD has equal sides, let's put it in a equation.

2x + 1 = 13

2x = 13 - 1

2x = 12

Use DPE or Division Property of Equality

2x/2 = 12/2

x = 6

16. Colton has a $6 credit balance on his credit card. He uses the credit card to
pay $9 for lunch. Use the number line to subtract $9 from Colton's credit
balance, and complete the equation.
ucation
6
8
10
12
14
text: Oppo...
16

Answers

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
5x2 + 14x-3

Answers

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.

Answers

Answer:

You need more information for this question to be solved.

Step-by-step explanation:

Are any of the variables given?

(12a-9b+7)+(2a-3b-14)

Answers

Answer:

14a - 12b - 7

Step-by-step explanation:

remove the parentheses

12a - 9b + 7 + (2a - 3b - 14)

collect like terms

14a - 9b + 7 - 3b - 14


solution

14a - 12b - 7

SOMEONE PLS HELP ME!!!

Answers

Answer:

refer to the picture attached for steps

Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.​

Answers

Answer:

You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.

Step-by-step explanation:

Answer:

she got 5049$ back in profit

Step-by-step explanation:

First count how much numbers are away from 413 to 600 you get 187

Next you Multiply 187 x 27 = 5049$

Write the equation in point slope form

Answers

Answer:

5<6 so tbh I have no idea what this is I just need point

Solve the absolute inequality: |4x-5| >3

Answers

Answer:

x > 2 or  x < 1/2  

Step-by-step explanation:

|4x - 5| > 3

         Case 1                         Case 2

  4x - 5 > 3                           - (4x - 5) > 3

  4x > 5 + 3                          - 4x + 5 > 3

   4x > 8                               -4x > - 5 + 3

      x > 2                               -4 x  > - 2

                                               -x > -2/4   multiply by -1  to make "x" positive and

                                                                this action with change all signs :  

                                                                 any negative becomes positive and

                                                                 > becomes <

                                               x < 2/4

                                                x < 1/2              

   

What is the y-intercept of the graph of the equation y =(2x−3)^2+7

Answers

Answer:

(0,16)

Step-by-step explanation:

Hi there!

The y intercept is the value in which the parabola passes through the y axis

Therefore, the value of x at the y intercept is 0

So to find the value of the y intercept, substitute x as 0 in the equation.

y=(2x-3)^2 + 7

If x=0, then:

y=(2(0)-3)^2 + 7

Multiply

y=(0-3)^2 + 7

Subtract 3 from 0

y=(-3)^2 + 7

Raise -3 to the second power

y= 9 + 7

Add 9 and 7 together

y = 16

So the y intercept is the point (0,16)

Hope this helps!

GIVING BRAINLIEST!!!!!!!!

Answers

[tex]\red{\bold{Answer:}}[/tex]

The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.

#BrainlyFast

#CarryOnLearning

(≡^∇^≡)

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