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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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.
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
A store pays $98 for a winter coat and marks the price up 10%.What is the price?
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
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)
The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.
Linear EquationThe 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.
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SOMEONE PLEASE HELP ME I NEED IT
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
ok, this is the last question I need help with(I think) please answer. I give Brainliest for best answer
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
two questions in 1 more points added
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
help please fast
thanks
Answer:
please send clear pic or canr help but make me brillantist
4/7x + 5/14x=36. What is the value of x (both X's must be the same number)
Answer: x= 38 10/13 ?
Step-by-step explanation:
simplify both sides of the equation, then isolate the variable.
Plz help do questions 9 and 10 I will give brainlest
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
Select the graph that represents the solution of the compound inequality
Answer:
Its D
Step-by-step explanation:
Took on Ed
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
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
Find the perimeter of the figure. Write your answer in simplest form.
Answer:
Where is the figure ????
Step-by-step explanation:
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?
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.
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:
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)
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
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
Evaluate
p
+
(
−
q
)
−
2
p
HELP QUICK, WILL GIVE BRAINLIST!!!
Answer:
The flag pole is 12.8 feet tall.
Step-by-step explanation:
doing the second one hold up
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
Reflection across the x-axis
Step-by-step explanation:
9. If g(x) = x2 +
+ 3x - 2, find g(-2).
A. -12
B. -4
C. 8
D. 4
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 ^^
Which diagram shows a pair of angle measures that prove lines a and b are parallel ?
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.
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1 mile= 1.6 kilometers
Answer:
D
Step-by-step explanation:
60 x 1.6 = 96 kilometers
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?
Answer:
12
Step-by-step explanation:
24/2=12
How many $4.30 packets of sugar can be bought for $24.00?
Answer:
About 5 and a half
Step-by-step explanation:
Write the given equation in STANDARD FORM (slope standard form)
y = 2x + 3/7
Answer:
7y=14x+3 is your answer
i need help with this
Answer:
x1=-1/97/12xx2=1 1=/97/12
Step-by-step explanation:
2
X=6x^2+4=0
-6x2^-x+4=0
rrange the numbers in decreasing order.
a.
8.508
8.58
7.5
7.058
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.
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+
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.
1/2 (8x-2) + (-2x + 1/4)
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.
Answer:
(8x/2)-6=5
Step-by-step explanation: