Answer:
Hope this answers the question.
Step-by-step explanation:
Factoring a number: If you use the number 10, for example, you have to find all the factors to factor it. 1, 2, 5, 10.
Factoring a trinomial: If you use the trinomial x^2 + 16 + 64, for example, to factor it you need to first find what numbers multiply up to 64 and also add up to 16. In this case, those numbers are 8, and so you get (x + 8)^2.
Final answer:
Factoring a number involves breaking it down into its prime factors, a straightforward process within the real number system. Factoring a trinomial, particularly in algebra, requires finding binomials that, when multiplied, return the original trinomial and can extend to complex numbers, guided by the fundamental theorem of algebra.
Explanation:
Factoring a trinomial and factoring a number are two very different processes within the realm of mathematics. When we talk about factoring a number, we refer to breaking it down into its prime factors, which are the prime numbers that multiply together to give the original number. For instance, factoring the number 10 would give us 2 and 5, since 2 x 5 = 10. This process is straightforward and applies to the number system.
On the other hand, factoring a trinomial involves finding two binomials that, when multiplied together, result in the original trinomial. This is more commonly encountered in algebra, especially when dealing with second-order polynomials (quadratics). For example, factoring the trinomial x² + 5x + 6 involves finding two binomials (x + 2) and (x + 3), since (x + 2)(x + 3) = x² + 5x + 6. Furthermore, factoring trinomials can extend into complex numbers where every nth-order polynomial can be factored into n linear factors in the complex number system, according to the fundamental theorem of algebra.
In summary, factoring a number focuses on prime factorization within the real number system, while factoring a trinomial involves algebraic manipulation that can extend into handling complex numbers and requires an understanding of both real and complex number systems.
What are the vertices of the hyperbola whose equation is (x+3)^2/4-(y-5)^2/16=1
Answer:
(-5,5) and (-1,5)
Step-by-step explanation:
second option on edge
Answer:
Provided below. Hope this helps:))
Step-by-step explanation:
Find the exact value of cot( sin-'(-1)).
O A. Undefined
O B. O
O C. -1
O D. 1
The value of the trigonometric relation cot ( sin⁻¹ ( -1 ) ) = 0
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
A = cot ( sin⁻¹ ( -1 ) ) be equation (1)
On simplifying , we get
The value of ( sin⁻¹ ( -1 ) ) = -π/2
where sin (-θ) = -sin (θ)
So , A = cot ( -π/2 )
From the trigonometric relations ,
cot (-θ) = -cot (θ)
cot ( -π/2 ) = 0
Hence , the trigonometric relation is solved
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ7
If 2c + 1 = 11, what is the value of 2c?
A. 4
B. 5
C. 10
D. 12
Answer:
2c =10
Explanation:
2c+1-1=11-1 - Subtract 1 from both sides
2c=10 - Simplify
If you want the value of x you would divide 2 on both sides and you would get 5. But you asked for 2c that's why I gave you 2c.
Hoped this helped! :)
Answer:
2c =10
Step-by-step explanation:
~Inosuke Hashibria~
Please help me with the problem attached.
Answer:
c
Step-by-step explanation:
Which other expression has the same value as (-14) - 8?
An expression that has the same value as (-14) - 8 is (-14) + (-8), both of which equal -22.
Explanation:The question is about finding an expression that is equivalent to (-14) - 8. When we subtract a positive number from a negative number, we move further to the left on the number line, making the number more negative. Therefore, (-14) - 8 is the same as adding the opposite of 8, which is -8, to -14, giving us -22. Another way to see it is moving 8 units to the left from -14 on a number line.
Thus, an equivalent expression might be the subtraction of the negative of 8, which is (-14) + (-8). We add the two negative numbers together following the rule that adding two negative numbers results in a negative sum. In this case, (-14) + (-8) is also -22.
Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
800, 400, 200, 100, O, O
1) Every number in the pattern will have a 0 in its ones place.
)) Every number in the pattern will have a 0 or a 5 in its tens place.
) Every number in the pattern will have a 0 or a 5 in its ones place.
)) Every number in the pattern will have a 0 in its tens place.
Answer:
C)
Step-by-step explanation:
100/2 = 50 goes in the fifth position of the list
50/2 = 25 goes in the sixth position of the list
And the complete pattern is: 800, 400, 200, 100, 50, 25
Then, every number in the pattern will have a 0 or a 5 in its ones place.
Solve 2x = 3.
Round to the nearest ten-thousandth.
divide by 2 on both sides.
3/2
x=1.5
Answer:
1.5850
Step-by-step explanation:
It was simple really
PLEASE HELP FAST!
Dustin is the manager at the local coffee shop. He is trying to decide which of two employees should get a raise. Both are great with customers and are hard workers. Below are the number of hours of sick time (each month) that the employees have taken over the last year.
Maria: 2, 2, 1, 1, 3, 4, 8, 2, 1, 0, 2, 1
Paul: 6, 6, 2, 4, 6, 3, 8, 14, 8, 0, 3, 4
Based on the hours of sick time taken, who do you think should get the raise? Think about who is the more dependable employee. Support your answer with data!
Answer:
Maria
Step-by-step explanation:
If you add all the sick days, Paul is 64 and Maria is 27
What is the equation of the vertical line through (2, 3)?
Answer:
x=2 or y=3
Step-by-step explanation:
x=2 is a vertical line at the x-value of 2
y=3 is a horizontal line at the y-value of 3
The dot plot shows the number of magazines sold. Determine the median of the data set.
A) 17
B) 19
C) 20
D) 23
Answer:
C) 20
Step-by-step explanation:
The median is the middle most number of the dataset.
17 18 18 19 20 20 20 20 20 23 23 23 24 25 25
20 is the middle most number. The median is 20.
Answer:
20
Step-by-step explanation:
Median is the middle value
Median position: (15+1)/2 = 16/2
= 8th value
Read in ascending or descending order, 8th value is 20
Factor completely 2x^2+4x-2
Answer:
2x^2+4x-2 = 2 * (x - 1 -[tex]\sqrt{2}[/tex]) * (x - 1 + [tex]\sqrt{2}[/tex])
Step-by-step explanation:
Factor completely 2x^2+4x-2
2x^2+4x-2 = 2* (x^2 + 2x - 1)
x = 1 + root( 4 - 4*(-1))/2
x = 1 + root(2)
and x = 1 - root(2)
What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth
Answer:
The volume of the square pyramid is 766.3 in³ approximately.
Step-by-step explanation:
To find the volume of the square pyramid whose perimeter of the base is 44 in and a height of 19 in, we will follow the steps below:
Write down the formula for calculating volume of the square pyramid
v=A(h/3)
where v is the volume, A is the area of the base and h is the height.
From the question given, the perimeter of the base is 44.
If the perimeter of the base is 44, then we can say;
4l = 44
Dividing both-side by 4
l = 11
The length of the base = 11
Area of the base = l² =11² = 121 in²
Als from the question given, height is 19 in.
we can now proceed to plug in our values into the formula
v=A(h/3)
v = 121 (19/3)
v≈766.3 in³ to the nearest tenth.
Therefore, the volume of the square pyramid is 766.3 in³ approximately.
What is the probability of spinning green on the first spinner and blue on the second spinner?
The probability of spinning 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities assuming that they are independent events.
Explanation:The probability of getting 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities if the two events are independent. If the first spinner has 'g' green out of 't' total possible outcomes and the second spinner has 'b' blue out of 's' total outcomes, the first probability would be 'g/t' and the second one 'b/s'. Hence, the probability of spinning 'green' on the first and 'blue' on the second would be (g/t) * (b/s).
For instance, if the first spinner has 2 green areas out of 10 total (2/10=0.2) and the second spinner has 3 blue areas out of 10 (3/10=0.3), then the probability of spinning 'green' first and 'blue' second would be 0.2*0.3=0.06 or 6%. Remember that the aforementioned explanation assumes that the outcomes from the two spinners are independent, that is, the result from the first does not affect the result from the second.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ12
The probability of spinning green on the first spinner and blue on the second spinner is 1/9.
To calculate the probability of independent events, we need to multiply the probabilities of each event occurring separately.
Assume the first spinner has equal sections for each color: red, blue, and green.
Thus, the probability of spinning green is 1/3.
Similarly, assume the second spinner has equal sections for each color: red, blue, and green.
Thus, the probability of spinning blue is 1/3.
Since the spins are independent events, the overall probability is calculated by multiplying these probabilities:
P(Green on first) * P(Blue on second) = 1/3 * 1/3 = 1/9
Does anyone knows this ?
Answer:
The answer to this question is B
Step-by-step explanation:
Answer:
I think its b) y=2x-3
Step-by-step explanation:
The answers are all in slope-intercept form: y= mx+b. In slope-intercept form m represents the slope and b represents the y-intercept. (Its confusing, I know).
The slope here is 2/1 or 2. Considering rise/run we can see that the line goes up (rise) two (2) points and over (run) one (1).
Now we have y= 2x+b, we just need the y-intercept.
Looking at the y-axis, the line crosses at (0, -3). So the y-intercept is -3!
That gives us y=2x-3
I really hope this helps
Help please quick it's for my grades
I think it is 14, I’m not sure tho
The trapezoids are similar. The area of the smaller trapezoid is 709 m2. Find the area of the larger trapezoid to the nearest whole number.
Answer:
564 (57/24)2
= 564 · 5.64
= 3,181
Step-by-step explanation:
i think i dont know
Answer:
1479
Step-by-step explanation:
A skating rink charges a group rate of $9 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a total of $30. What does "X" represent?
In the problem, 'X' denotes the cost to rent each pair of skates. Setting up and solving the equation, 9 + 7X = 30, we find 'X', the cost per pair, is $3.
Explanation:In this problem, 'X' represents the cost to rent each pair of skates. The problem refers to a situation where a skating rink charges $9 for a group rate and an additional fee for every pair of skates rented. According to the provided information, a family who rents 7 pairs of skates pays a total of $30. We can set up an equation to solve for 'X.'
The equation is 9 + 7X = 30, where X is the cost per pair of skates.
To solve this equation, you have to subtract 9 from both sides, getting 7X = 21. Afterward, you divide both sides by 7, and you get X = 3. Therefore, 'X' corresponds to $3, the cost per pair of skates.
Learn more about Variables in Math here:https://brainly.com/question/34153333
#SPJ12
How can a scientific investigation be an adventure?
Answer: Because you do many tasks and activities to find your goal/answer. Therefore, similar to an adventure hunt
Step-by-step explanation:
Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –16t2 + 20t. After how many seconds does the ball return to the ground? Round to the hundredths place as needed. seconds
Answer:
The ball will return to the ground after 1.25 seconds
Step-by-step explanation:
Given
f(t) = -16t² + 20t
Required
After what time (in seconds) does the ball return to the ground?
Function f(t) is a function of time and it represents the displacement of the ball.
For the ball to return to the ground, it means the displacement is 0.
So, we have f(t) = 0.
Substitute 0 for f(t) in the above, we have
0 = -16t² + 20t ---- Factorize
0 = -4t(4t - 5) ---- Reorder
-4t(4t - 5) = 0
This above expression can be splitted to;
-4t = 0 or 4t - 5 = 0
For -4t = 0,
divide through by -4
This will give t = 0
For 4t - 5 = 0,
Collect like terms
4t = 5 + 0
4t = 5
Divide through by 4
t = 5/4
t = 1.25
So, we have that
t = 0 or t = 1.25
But t can't be 0 because the ball has already traveled some distance.
So, t = 1.25
Hence, the ball will return to the ground after 1.25 seconds
Answer:
its 1.25....
Step-by-step explanation:
on edge, thank me later
Joe saved most of his allowance every week since his 7th birthday.If joe saves $4 per week, how much money would he have on his 15th birthday?
Answer:
He will have $1,664 on his 15th birthday.
Step-by-step explanation:
If he is saving $4 per week for 8 years(15-7=8), and there are 52 weeks in a year, then 8x52=416 weeks. Then 416x4=1,664. Therefore, he will have $1248 dollars by his 15th birthday.
Answer:
1664 Hope this is right
Step-by-step explanation:
You first need to find how many weeks is in a year.
Then multiply how many weeks that are in a year 52 by amount of money per week 4.
You get 208
Before the last step you need to subtract 15-7=8
Multiply 208 times 8 and that's your answer
Which label on the cone below represents the radius?
A
В
С
D
D
The answer for the label on the cone below that represents the radius is A
Step-by-step explanation:
the answer should be B cause the radius is the line that goes threw the middle
Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid
Answer:
Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster
Step-by-step explanation:
EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.
Answer:When Gianna placed the two cups in the refrigerators, the liquid placed in refrigerator A was WARMER than the liquid placed in refrigerator B.
The END BEHAVIOR of the two functions implies that refrigerator A is set to a HIGHER temperature than refrigerator B.
Step-by-step explanation:
trust me bro
Which statements can be interpreted from the equation for a real estate value, V(t)=228,000(1.03)t where V(t) represents the value of the real estate and t represents the time in years?
Helppp plzz!! Will mark you as brainliest!! A semi–circle with points A and B is shown below.
When the semi–circle is rotated about the side AB, which of the following three–dimensional figures is created?
A. cone
B. cylinder
C. cube
D. sphere
From sea level, a submarine descends 40 feet per
minute. Where is the submarine in relation to sea level 5
minutes after it starts descending?
feet [Seleccionar
sea level
(Seleccionar ]
Answer:
200 ft below sea level
Step-by-step explanation:
40•5= 200
Ok so I need to evaluate three questions without a calculator
a.) log2 32
b.) log7 1
c.) log5 625
I did them but can someone check my work(I didn’t put down answers yet)? I put:
a.) log2 32= log32/log2 =?
b.) log7 1= log1/log7 =?
c.) log5 625= log625/log5 =?
Step-by-step explanation:
log2 32= log32/log2= log 2^5/log2=5log2/log2=5 (log2=0.3)
log7 1= log1/log7= 0 (log1=0)
log5 625= log625/log5= log5^4/log5= 4log5/log5= 4 (log5=0.69)
Which is the equation for the graph of the limacon curve below? [- 5, 5] by [- 5, 5) r=3-2sin theta r=2-3 sin theta r=2-2 sin theta r=4- sin theta
Answer:
D
Step-by-step explanation: On Edge
Answer:
A
Step-by-step explanation:
i know its late for the original post but for people coming after to get the answers its definitely A. i graphed it on desmos
clara read 2/3 of a book. which fraction is equivalent to what clara read?
Answer:
1/3 of the book she needs to read
Step-by-step explanation:
Find the equation of the line
use exact numbers
Answer:
b
Step-by-step explanation:
What is the volume of the prism?
An oblique prism has a square base and height of 3
centimeters.
30 cm
O 45 cm
60 cm
75 cm
Answer:
75 cm³
Step-by-step explanation:
Edge 2020
The volume of the given prism is equivalent to V = a².
What is volume?Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is to find the volume of the prism that has a square base and height of 3 centimeters.
The volume of a square pyramid is -
V = a²h/3
Now, the base edge length is not given. Assume it to be {a} units. So, we can write -
V = 3a²/3
V = a²
Therefore, the volume of the given prism is equivalent to V = a².
To solve more questions on Prisms, visit the link-
https://brainly.com/question/22147194
#SPJ7