find the solutions of 4s²-12s = -9 by factoring​

Answers

Answer 1

Steps Using Factoring By Grouping

[tex]4 {s}^{2} - 12s = - 9[/tex]

[tex]4 {s}^{2} - 12s + 9 = 0[/tex]

[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]

[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]

[tex](2s - 3)(2s - 3) = 0[/tex]

[tex](2s - 3) {}^{2} = 0[/tex]

 ‍ 

[tex]2 s - 3 = 0[/tex]

[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]

[tex] \: \: \: \: \: \: \: 2s = 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]

[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]

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Related Questions

4/7x + 5/14x=36. What is the value of x (both X's must be the same number)

Answers

Answer: x= 38 10/13 ?

Step-by-step explanation:

simplify both sides of the equation, then isolate the variable.

Answer: x=38 10/13

Explanation:
4/7x+5/14x=36 rewrite fraction lol
8/14x+5/14x=36
add add
13/14x=36
multiply both side by 14/13
x=38 10/13

i need help with this​

Answers

Answer:

x1=-1/97/12xx2=1 1=/97/12

Step-by-step explanation:

       2

X=6x^2+4=0

-6x2^-x+4=0

ok, this is the last question I need help with(I think) please answer. I give Brainliest for best answer

Answers

Answer:

D) 132.67 (this seems to be the closest to the answer, I hope it helps)

Step-by-step explanation:

First, have the area of circle formula: A = π r²

Then, you need to find the radius to be able to complete the area formula. So, since you have the circumference, you will need to use it to find the radius:

C = 2 π r

40.82 = 2 π r

20.41 = π r

r = 6.496704777 . . . Do not round! Rounding will not give an exact answer!

Now that you have the radius, plug in:

A = π r²

   = π (6.49 . . .)²

   = π  (42.20717296 . . .) Do not round! Rounding will not be exact!

   = 132.5977445 . . .

   ≈ 132.6

9. If g(x) = x2 +
+ 3x - 2, find g(-2).
A. -12
B. -4
C. 8
D. 4

Answers

Answer:

I think the answer is -12

Step-by-step explanation:

g(x) = x^2 +  3x - 2, If g(-2)

Plug the value for x into the equation

g(x)= -2^2+3(-2)-2

Simplify

g(x)= -4+(-6)-2

g(x)= -10-2

g(x)= -12

Hope this helps ^^

1 mile= 1.6 kilometers ​

Answers

Answer:

D

Step-by-step explanation:

60 x 1.6 = 96 kilometers

Review the graph of y = sin(x). Based on the graph, what are the domain and range of the sine function? Y 3+ 2+ domain: [0, 2TT); range: [-1, 1] O domain: (-1, 1); range: [0, 2TT) domain: (-1, 1); range: (-0, 0) domain:(-0, 0); range: [-1, 1] I JT 57 Зл 4 Зл 7л 2 2 4 -1+ -2+ -3+​

Answers

Answer:

The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D

Step-by-step explanation:

In any function,

Domain is the values of x

Range is the values of y corresponding to x

In the function y = sin(x),

∵ The graph ends with arrows

→ That means there is many cycle not 1 cycle

x ∈ R

→ That means x can be any value from -∞ to ∞

∵ x is the domain of the function

∵ R is the set of real numbers

Domain = {x : x ∈ R} = (-∞, ∞)

∵ sin([tex]\frac{\pi}{2}[/tex]) = 1

∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]

∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1

∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]

-1 ≤ y ≤ 1

∵ y is the range of the function

Range = {y : -1 ≤ y ≤ 1} = [-1, 1]

The right answer is domain: (-∞, ∞); range: [-1, 1]

Answer:

D: domain: (–ꝏ, ꝏ); range: [–1, 1]

Step-by-step explanation:

Hope this helps whoever needs more clarification.

Gente pelo amor de Deus, qual é a responsta dessa questão: "Sendo a área de um retângulo fixado em 36cm2. Observa-se na tabela a seguir, algumas possibilidades de medidas para o comprimento e sua respectiva largura. Têm-se a que, neste caso, a sentença algébrica que relaciona o comprimento (c), em centímetros, com a largura (I) é:

Answers

Esta questão está completa

Pergunta completa

Gente pelo amor de Deus, qual é a responsta dessa questão: "Sendo a área de um retângulo fixado em 36cm². Observa-se na tabela a seguir, algumas possibilidades de medidas para o comprimento e sua respectiva largura.

Comprimento(c) | Largura (l)

18 | 2

12 | 3

9 | 4

6 | 6

Têm-se a que, neste caso, a sentença algébrica que relaciona o comprimento (c), em centímetros, com a largura (I) é:

A) c = 36/l

B) c = 45 + 15l

C) 36 = 2c + 2I

D) I = 36 - c

Answer:

A) c = 36/l

Step-by-step explanation:

A fórmula para a área de um retângulo é dada como Comprimento × Largura ou Comprimento × Respiração

A área do retângulo acima é fornecida como 36cm²

= 36cm² = Comprimento × Largura

36cm² = c × l

Portanto, a sentença algébrica que relaciona o comprimento (c), em correspondência, com a largura (I) é

c = 36 / l

Portanto, a resposta correta = opção A)

The side lengths of a triangle are 11.3 centimeters, 14.7 centimeters, and x centimeters. The perimeter of the
triangle is less than 44 centimeters. Write and solve an inequality to find the possible values of x.

Answers

The perimeter of a triangle is the sum of all its side lengths

11.3 + 14.7 + x < 44

Combine like terms

26 + x < 44

Subtract 26 from both sides.

x < 18

Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points) 8 more than half the difference of 2 and 1, and then subtract 6 Add 8 to half the difference of 6 and 2, then subtract 1 The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1 1 less than half of 6 plus the sum of 8 and 2

Answers

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

1/2 (8x-2) + (-2x + 1/4)

Answers

1/2(8x -2) + ( -2x + 1/4)

(4x -1) + (-2x + 1/4)

=

(2x - 3/4) or (2x - 0.75)

HELP QUICK, WILL GIVE BRAINLIST!!!

Answers

Answer:

The flag pole is 12.8 feet tall.

Step-by-step explanation:

doing the second one hold up

Select the graph that represents the solution of the compound inequality

Answers

It’s b or the 2nd one I think I’m not sure about inequality and stuff but yeah..

Answer:

Its D

Step-by-step explanation:

Took on Ed

How many $4.30 packets of sugar can be bought for $24.00?

Answers

Answer:

About 5 and a half

Step-by-step explanation:

The answer would be because 4 times 5 is 20 and 5 times .30 would be 21.50

Plz help do questions 9 and 10 I will give brainlest

Answers

Answer:

9. B.) c=28h

10. C.) 5x=45y

Step-by-step explanation:

1. 84 cards in three hours 84/3 = 28 cards per hour

2. 2x=18y which means x=9y, x 5 = 5x = 45y

Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis

Answers

Answer:

Reflection across the x-axis

Step-by-step explanation:

SOMEONE PLEASE HELP ME I NEED IT

Answers

Answer: m=-5/11

Step-by-step explanation:

To find the slope of two points use the formula m=y2-y1/x2-x1

Answer:

-5/11

Step-by-step explanation:

(21,-4) & (10, 1)

x1, y1 x2,y2

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

= (1 - (-4))/(10 - 21)

= -5/11

Evaluate
p
+
(

q
)

2
p

Answers

Can you put it more bettet in the comments!

Find the perimeter of the figure. Write your answer in simplest form.

Answers

Answer:

Where is the figure ????

Step-by-step explanation:

I WILL GIVE BRAINLIEST! Rectangle A is a rectangle with area 24. Rectangle B is a scaled copy of Rectangle A with a scale factor of 2. What is the area of Rectangle B?

Answers

Answer:

12

Step-by-step explanation:

24/2=12

Sam is looking at cell phone plans.A local company offers a monthly plan for 58.95dollars . The company is having a sale and offering a discount of 4.75 off the monthly plan. Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost

Answers

Given :

A local company offers a monthly plan for 58.95 dollars.

The company is having a sale and offering a discount of 4.75 off the monthly plan.

To Find :

Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost.

Solution :

Correct cost = Original price - Discount offered

Correct cost = $( 58.95 - 4.75 )

Correct cost = $54.2 .

Now, Sam's cost is $11.45 because he took $4.75 as $47.5 .

Hence, this is the required solution.

If the domain is 1,2,3,4 what is the range

Answers

The range is 3. To find the range you subtract the smallest number from the largest number. Hope this helps :)
The range is 3
Explanation:

rrange the numbers in decreasing order.



a.

8.508

8.58

7.5

7.058

Answers

Answer:

8.58

8.508

7.5

7.058

Step-by-step explanation:

Answer:

8.58, 8.508, 7.5, 7.058

Step-by-step explanation:

Um, I think this means greatest to least.

8.58, 8.508, 7.5, 7.058

Look at the place values.

Write the given equation in STANDARD FORM (slope standard form)

y = 2x + 3/7

Answers

Answer:

7y=14x+3 is your answer

Which diagram shows a pair of angle measures that prove lines a and b are parallel ?

Answers

Answer:

B would be the answer because line c goes through a and b. line c would the 180 line. if you subtract 180 with the numbers on lines a and b, they would equal the same.

Option B is right.

What are corresponding angles?

Corresponding angles are those angles formed in the same relative position on different intersections when a pair of lines are crossed by a third line.

Here, if we see the 60° angle, then the opposite angle must be = (180° - 60°) = 120°.

This equal to the given corresponding angle , which is also 120°.

We know, if the corresponding angles of a pair of lines are equal, then the pair of lines must be parallel.

Hence, Option B is correct.

Learn more about corresponding angle here: https://brainly.com/question/1597341

#Tag #SPJ2

McKenzie told her friend, “If you increase my age by 8, multiply that quantity by 1/2 , and then subtract 6, you get 5.” Write an equation that matches McKenzie’s description using x as the variable.

Answers

Answer:

(8x/2)-6=5

Step-by-step explanation:

two questions in 1 more points added​

Answers

Answer:

13

Step-by-step explanation:

The square root of 169 is 13

Answer:

The first one is 64

and for the second one i cant really see it, but it should be 4 radical 10

A store pays $98 for a winter coat and marks the price up 10%.What is the price?

Answers

Answer:

107.8

Step-by-step explanation:

convert 10% into decimal

1.1

then calculate

98 × 1.1

107.8

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

$107.80

Step-by-step explanation:

10% of $98 is $9.80.

9.80 + 98 = 107.80

help please fast

thanks​

Answers

Answer:

please send clear pic or canr help but make me brillantist

1. -1/32 2. n^11/m^2 3. -5h^3 4. 2c^3/7

If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)

Answers

The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.

Linear Equation

The equation whose variables have the highest power as 1 is known as a linear equation.

How to write the linear equation for the given situation?

First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.

The cost of Ryegrass lawn seeds is $0.70 per pound.

So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.

The amount of Fescue lawn seeds purchased is 25 pounds.

And the cost of Fescue lawn seeds is $1.15 per pound.

So, the cost of all the Fescue lawn seeds purchased is,

= $1.15 x 25

= $28.75

And the total cost of buying the two types of lawn seeds is $48.

So, we can write the linear equation as,

0.70x + 28.75 = 48

Solving the linear equation for x, we get

0.70x = 48 - 28.75

0.70x = 19.25

x = 19.25/0.70

x = 27.5

Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.

Learn more about solving linear equations here - https://brainly.com/question/1682776

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During tax-free weekend, you bought some spiral notebooks for $1.00 each and one set of colored pencils for $2. If you spent $5, how many spiral notebooks did you buy?

Answers

Answer:

3

Step-by-step explanation:

Answer:

You bought 3 spiral notebooks.

Step-by-step explanation:

This can be represented as 1x + 2 = 5. To solve this, first subtract 2 from both sides. You are left with 1x = 3. Divide by 1 to both sides, and your answer is x = 3.

Hope this helped.

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