Answer:
x^2+8x +16 >> (x+4)^2
x^3-64 >> (x-4)(x^2+4x+16)
x^2-16 >> (x-4)(x+4)
Step-by-step explanation:
Each polynomial is matched to its factored form. These are the correct answers. I did this on EDGE!
Polynomial is an expression that consists of indeterminates(variable) and coefficients.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
To know which polynomial to match, solve the factors.
A.) (x-4)(x²+4x+16)
[tex](x-4)(x^2+4x+16)\\\\=x(x^2+4x+16)-4(x^2+4x+16)\\\\= x^3 + 4x^2 + 16x - 4x^2-16x-64\\\\=x^3 -64[/tex]
Hence, (x-4)(x²+4x+16) will match x³-64.
B.) (x+4)²
[tex](x+4)^2\\\\= x^2+8x+16\\[/tex]
Hence, (x+4)² will match x²+8x+16.
C.) (x-4)(x+4)
[tex](x-4)(x+4)\\\\ = x^2-16[/tex]
Hence, (x-4)(x+4) will match x²-16.
Learn more about Polynomial:
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Can someone tell me the answer Plz I’m struggling I’ll give brainlist and points
Answer:
4. 3
5. 5
Step-by-step explanation:
Let x = number of blocks in a bag.
4.
Left side = 2 bags & 7 blocks
Right side = 1 bag & 10 blocks
The beam is balanced, so the weights of the two sides are equal.
2x + 7 = x + 10
x = 3
There are 3 blocks in a bag.
5.
Left side = 3 bags & 6 blocks
Right side = 4 bags & 1 block
The beam is balanced, so the weights of the two sides are equal.
3x + 6 = 4x + 1
-x = -5
x = 5
There are 5 blocks in a bag.
Answer: 4. x+3x=x+1x
5. x+3=4+3x
Solve the equation: 3(x - 5) = x + 21*
12
7
18
-22
5/3+b=3/7b +1
please answer ASAP :(
Trevor is training for a race. He swims 12 lap in 45 minute. At that rate, how many minutes does it take Trevor to swim each lap?
Which pair of quantities form a proportional relationship? Select all that apply
Answer:
Yes
Step-by-step explanation:
First you gotta add the yes, and ten you multiply it by the no so yesXno but then you are left with a negative answer so then you wanna add an extra Yes to even it out and then it becomes YesXno+Yes and then you get your answer which is yes. I learned this from the man down the street that lives near the gas station
At that rate, the time taken to finish each lap will be 3.75 minutes each lap. The pair of quantities that form a proportional relationship will be 15: 4.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Trevor is training for a race. He swims 12 laps in 45 minutes.
At that rate, the time taken to finish each lap will be
⇒ 45 / 12
⇒ 3.75 minutes each lap
At that rate, the time taken to finish each lap will be 3.75 minutes each lap.
The pair of quantities that form a proportional relationship will be 15: 4.
More about the speed link is given below.
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A builder wants to create a rectangular room in a house she wants it to have a total area of 375 square feet, and it should be 10 feet longer than it is wide
Answer:
Width = 15 ft
Length = 25ft
Step-by-step explanation:
Given that:
Total area = 375 ft²
Length = 10 + width
Let ;
Width = x
Length = x + 10
Area of a rectangle = Length * Width
Area of rectangle = 375 ft²
375 = x * (x + 10)
375 = X² + 10x
x² + 10x - 375 = 0
X² + 25x - 15x - 375 =. 0
x(x + 25) - 15(x + 25) = 0
x +. 25 = 0
x - 15 = 0
Hence,
x = - 25 or x = 15
X cannot be negative
Hence, x = 15
Width = 15 ft
Length = x + 10 = 15 + 10 = 25 ft
Order the following numbers from greatest to least: 2.07, 2.7, 2.67, -2.66
2.07, 2.7, 2.67 - 2.66
о O
2.7, 2.67, 2.07, - 2.66
- 2.66, 2.67, 2.07, 2.7
Answer:
For the first on, (2.7, 2.67, 2.07) Second,( 2.7, 2.67, 2.66, 2.07)
Step-by-step explanation:
The overall least to greatest is going to be (2.7, 2.67, 2.66, 2.07)
and, (2.7, 2.7, 2.7, 2.7, 2.7, 2.67, 2.67, 2.67, 2.67, 2.67, 2.66, 2.66, 2.66, 2.66, 2.07, 2.07, 2.07, 2.07)
hope this helps
brainliest? (○’ω’○)
Answer:
a
Step-by-step explanation:
sorry im really new so i dont know lol
Plot each value on a number line
Step-by-step explanation:
hope it helps
for any question comment me❤❤
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help fast
Answer:
Length: 40ft
Width: 15ft
Step-by-step explanation:
Since we're comparing the two and we know they equal the same perimeter I would write it out like so,
(x+25) + x = 2x + (x + 10)
Combine like terms to end up with...
2x + 25 = 3x + 10
-10 -10
2x + 15 = 3x
Subtract 2x from both sides which you get 15 = 1x (1x is the same as x)
x = 15
One side of Cat's driveway is x so that means it is 15ft and the other side (x+25) you replace the x with 15 and add. (15 + 25) which equals 40ft.
Hope that helps and have a great day!
Answer:
Length is 40ftWidth is 15ftStep-by-step explanation:
Since the perimeter of both driveways are the same, we can write an equation comparing the two.
(x + 25) + (x) = (2x) + (x + 10)
Now, we can solve for x.
(x + 25) + (x) = (2x) + (x + 10)
~Remove parenthesis and combine like terms
2x + 25 = 3x + 10
~Subtract 25 to both sides
2x = 3x - 15
~Subtract 3x to both sides
-x = -15
~Divide -1 to both sides
x = 15
Now that we know what x equals, we can find the length and width of Cats driveway.
Length:
x + 25
15 + 25
40
Width:
x
15
40 + 15 = 55ft
Therefore, the length is 40ft and the width is 15ft.
Best of Luck!
What is the solution: –9x + 4 –12 = 64
Answer:
Simplifying
-9x + 4 + -12 = 64
Reorder the terms:
4 + -12 + -9x = 64
Combine like terms: 4 + -12 = -8
-8 + -9x = 64
Solving
-8 + -9x = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + -9x = 64 + 8
Combine like terms: -8 + 8 = 0
0 + -9x = 64 + 8
-9x = 64 + 8
Combine like terms: 64 + 8 = 72
-9x = 72
Divide each side by '-9'.
x = -8
Simplifying
x = -8
Answer:
-8
Step-by-step explanation:
-9x + 4 - 12 = 64
-9x = 64 - 4 + 12
-9x = 72
x = -8
I NEED HELPS!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1)
Answer:
y = 4x + 1
Step-by-step explanation:
slope intercept form is written as y = mx + b. m represents slope, and b represents y intercept. plug in the slope and y intercept (replace the variables) and you get y = 4x + 1. hope this helps :)
The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 18 seconds?
a.
4536 ft
b.
5832 ft
c.
5184 ft
d.
288 ft
Answer:
5184ft
Step-by-step explanation:
d= distance an object falls when dropped from a tower
t= time it takes to fall
According to the first sentence,
d(sign of proportionality) t^2
Introducing a constant k:
d =kt^2
when d=144ft ,t=3sec
Substitute the values to find k
144 =k(3^2)
144 = 9k
k = 144/9
k =16
Substitute k =16 and t =18sec
d =kt^2
d =16×(18^2)
d =16× 324
d = 5184ft
what is this can y’all help I’ll give thanks even 5 stars
Answer:
no
Step-by-step explanation:
486×8=3888 so its not enough
Answer:
No they wont
Step-by-step explanation:
they will not reach their goal of 4,000 they will only have 3,888 cans of food.
486 x 8 = 3,888
I need this done by October 29th.
Use properties of operations to write two equivalent expressions for 13(4 + x).
1. Explain how to distribute the 13 to the terms inside the parentheses, then do the distribution. Use multiplication to simplify the result.
Answer:
i need answer too plz help
Step-by-step explanation:
Answer:
you have to shuffel the numbers up utill you find the divisor
Step-by-step explanation:
first you pu 10 10↑⇔
what is the value of 8+2 to the third power times 5
Answer:
48
Step-by-step explanation:
use pemdas. first you do the exponents so you now have 8+8x5
then multiplication so now you get 8+40
then add to get your answer: 48
hope this helps :))
round 16.928 to the nearest hundredth
Answer:
16.93
Step-by-step explanation:
Trevor was reading a book for a book report. Last week, he read 35 pages of the book. This week, he read 2.5 times as many pages as he read last week.
How many pages of the book has Trevor read this week? Complete the explanation.
35
X 2.5
Trevor read _______ pages this week.
Answer:
87.5 pages
Step-by-step explanation:
number of pages he read last week = 35
number of pages he read this week = 2.5 * number of pages he read last week
number of pages he read this week = 2.5 * 35
= 87.5 pages
What is x? −5(−x−4)−3x−5= 13
Answer:
-1
Step-by-step explanation:
-5(-x-4)-3x-5=13
5x+20-3x-5=13
2x+15=13
2x=-2
x=-1
En una piscina hay 1500 litros y el desagüe bota en el despiche medio litro por minuto. La función que describe la cantidad de litros (lt) que habrá en la piscina a las x horas después de abrir el despiche del desagüe es
Answer:
1500 - 30x
Step-by-step explanation:
Aquí, queremos obtener una función que describa la cantidad de litros que quedan en la piscina a las x horas después de abrir la salida de drenaje.
De la pregunta, la capacidad total de la piscina. es de 1.500 litros.
La tasa de goteo es de 0,5 litros por minuto.
x horas es lo mismo que 60 * x = 60x minutos
La cantidad de litros caídos en 60x minutos será 60x * 0,5 litros = 30x litros.
Entonces el número de litros que quedan será; 1500 - 30x
Suzie's Snakes and Salamanders Pet Shop has 38 snakes and 22
salamanders. If Suzie sells 9 snakes, what is the ratio of the remaining
unsold snakes to sold snakes?
Answer:
38 - 9 = 29 unsold snakes.
ratio of unsold to sold = 29÷9 = 3.2 : 1
On a hot summers day, 613 people used the public swimming pool. The daily prices are 1.75 dollars for children and 2 dollars fir adults. The recipts for admission totaled 1127 dollars. How many children and how many adults swam at the public pool that day?
Answer:396 children and 217 adults swam at the pool.
Step-by-step explanation:
Step 1
let Children be represented as x
and Adults be represented as y
therefore
Step 2
x + y = 613.........equation 1 -----represents the 613 people (children and adults) that used the public swimming pool.
And
1.75x + 2.00y = 1127... equation 2------represents the daily prices which totaled 1127 dollars
Making x subject formulae in equation 1 and substituting in equation 2
x= 613-y
1.75(613-y) + 2.00y = 1127
1072.75 -1.75y+ 2y=1127
1127-1072.5 = -1.75y +2y
54.25=0.25y
y=54.25/0.25
y=217
Substitute y = 218 in (1)
x + 217= 613
x = 613-217
x = 396
396 children and 217 adults swam at the pool.
Answer: 396 children and 217 adults tickets were sold at the pool.
Step-by-step explanation:
Given data:
Number of people who used the pool = 613
Total sum on the receipt = 1127.
Price of adult tickets = $2
Price for children tickets = 1.75
Solution:
Let
Children = x
Adults = y
x + y = 613......... equation 1
1.75x + 2y = 1127..... equation 2
Multiply equation (1) by 2
2x + 2y = 1226........ equation 3
1.75x + 2y= 1127
Subtract (2) from (3)
0.25x = 99
x = 396
Substitute x = 396 in equation (1)
x + y = 613
396 + y = 613
y = 217
396 children and 217 adults tickets were sold at the pool.
please help asap!!!!
Step-by-step explanation:
Lets plug in the numbers for each equations:
1. 4 x 3 + -5 = 7
and 4 times 3 equals 12. minus 5 is 7.
2. 4^3 is just 64
3. -5--5
we can just change the double negative to a plus:
-5 + 5 = 0
Finding Equivalent Ratios
Which of these tables is a ratio table?
A
B
B
А
A
B
B
T
A
2
5
1
1
3
7
4.
12
о
o
o
+
o
1
3
6
4
7
3
Il
8
13
17
5
11
.6
24
3
9
9
Note: it is not the second answer.
Answer:
the answer is a or b and i think a
Step-by-step explanation:
Answer:
fourth option
Step-by-step explanation:
In a right triangle with legs x ( horizontal leg) and y ( vertical leg) and hypotenuse r, then
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{r}[/tex]
Which one?
A. B. C. or D.
Safara wants to rent a bicycle. The
graph shows the cost
for renting a bicycle for different lengths of time.
a. What is the slope of the line? Show your work.
Answer:
30
Step-by-step explanation:
We can use the points (0,0) and (2,60) to determine the slope using the formula y2-y1/x2-x1.
Plug in values: (60-0) / (2-0)
=60/2
=30
Is there anyone that can always help with my algebra 2 because this class confusing
Answer:
Step-by-step explanation:
I bet we can help each other I would like to be ur friend.:)
The whale swims down 150 more feet more. What is the whale’s elevation now?
0.5 divided by 4.25, 2.4 divided by 16.8, 38.5 divided by 0.5, 107.25 divided by 2.5
Answer: thats the answer
Step-by-step explanation:
0.5 divided by 4.25 is 0.11,
2.4 divided by 16.8 is 0.14
38.5 divided by 0.5 is 77
107.25 divided by 2.5 is 42.9
Answer:
Step-by-step explanation:
0.5 divided by 4.25 is 0.11,
2.4 divided by 16.8 is 0.14
38.5 divided by 0.5 is 77
107.25 divided by 2.5 is 42.9
A box is dragged across 202020 meters with a force of 606060 Newtons, which are\dfrac{\text{kg}\cdot\text{m}}{\text{s}^2} s 2 kg⋅m start fraction, start text, k, g, end text, dot, start text, m, end text, divided by, start text, s, end text, squared, end fraction. What calculation will give us the work done, in Joules (which are \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2} s 2 kg⋅m 2 start fraction, start text, k, g, end text, dot, start text, m, end text, squared, divided by, start text, s, end text, squared, end fraction)? Choose 1 answer:
Answer: 1200 Joules
Step-by-step explanation:
Given that:
Distance (d) across which bag is dragged = 20 meters
Applied force (F) = 60 N
The workdone is the product of the applied force and the distance through which the force is applied ;
Hence,
Workdone = Force * Distance
Workdone = 60 N * 20 m
Workdone = 1200Nm
OR 1200 Joules
The work done required to drag box is 1200 Joule.
Work done is defined as the energy transfer that occurs when an object is moved over a distance by an external force .
[tex]Workdone=force*displacement+cos\theta[/tex]
Where [tex]\theta[/tex] is angle between direction of force and displacement.
Here given that force F = 60 N and Displacement = 20 meters
Since, Displacement of box is in the direction of force.
Therefore, [tex]\theta=0[/tex] degree.
Substituting all the values.
[tex]W=60*20*cos0\\\\W=1200*1\\\\W=1200joule[/tex]
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Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation fits this situation if he spends $165.
Answer:
22.50 + 9.50x = 165
*** x represents the number of shirts he's buying***