2x² +10x=
2²
10x
Problem 3: Identify the GCF
Identify the factor pairs of the terms 22+ 10x that
share the greatest common factor.
Enter the factor pairs in the table.
Expression
Common Factor
x
X
Check Answers
Other Factor
3
Answers
As per the given data, the greatest common factor of 22 + 10x is 2.
To find the greatest common factor (GCF) of the terms in the expression 22 + 10x, we need to factorize each term and identify the common factors.
Let's start with 22. The prime factorization of 22 is 2 * 11.
Now let's factorize 10x. The GCF of 10x is 10, which can be further factored as 2 * 5. Since there is an 'x' attached to 10, we include 'x' as a factor as well.
Now, let's identify the factor pairs that share the greatest common factor:
Factor pairs of 22:
1 * 22
2 * 11
Factor pairs of 10x:
1 * 10x
2 * 5x
From the factor pairs, we can see that the common factor between the two terms is 2.
Therefore, the GCF of 22 + 10x is 2.
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Related Questions
if a:b=5:6and b:c=3:8 find a:b:c?
Answers
Answer:
(a x b ) : (b x b ) : (b x c)
5x3 : 6x3 : 6 x 8
Step-by-step explanation:
15:18:48
which statement is true?
A. 6n+16=6(n+10)
B. 6n+16=4(2n+4)
C. 6n+16=5n+12+n+4
D. 6n+16=8n+14-2n+2-n
Answers
Answer:
i think the correct answer is the third one
have a nice day! (^o^)
Question Write a polynomial, P(x) . in factored form given the following requirements. Degree: = Leading coefficient Zeros = (5.0), (3.0). (-2,0),and (4,0) y-intercept at (0, ~120) D Provide your answer below:
Answers
This is the required polynomial function of degree 4 with leading coefficient as 1 and zeros are given as (5, 0), (3, 0), (-2, 0), and (4, 0) and y-intercept at (0, 120)
The polynomial function can be written in factored form by multiplying the factors which give the zeros of the function and the leading coefficient. The polynomial function of degree 4 with leading coefficient is 1, and zeros are given as (5, 0), (3, 0), (-2, 0), and (4, 0).
The factors are (x - 5), (x - 3), (x + 2), and (x - 4) since they produce the zeros of the polynomial function.
These factors can be multiplied as shown below:$$ P(x) = a(x - 5)(x - 3)(x + 2)(x - 4) $$The value of a is equal to 3/2 which is obtained from the given y-intercept at (0, 120).$$ P(x) = \frac{3}{2}(x - 5)(x - 3)(x + 2)(x - 4) $$.
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Calculate the quotient below and give your answer in scientific notation.
3.8 x 10^9
400
= ?
Answers
Answer:
If your adding the 400 then it will be 3800000400
if your subtracting 400 it will be 3799999600
If your dividing 400 it will be 76000000000
If you multiplying 400 it will be 152000000000
Hope i helped
What is (1, -7) Translated 3 units to the Left, and 5 Units up?
Answers
Answer:
The point after translation is: (-2, -2)
Step-by-step explanation:
Given point is:
(1, -7) => A(1,-7)
There are four cases for a point's translation:
Up: The y-coordinate increases a units where a is a constant.Down: The y-coordinate decreases a units where a is a constant.Right: The x-coordinate increases a units where a is a constant.Left: The x-coordinate decreases a units where a is a constant.Now we have to translate the given point 3 units to the left which means 3 will be subtracted from x coordinate.
Similarly, The point has to be translated 5 units up which means 5 will be added to the y-coordinate of point.
\(A(1,-7) ---> (1-3, -7+5) ---> A'(-2,-2)\)
Hence,
The point after translation is: (-2, -2)
A 2-liter container holds more than a 3,000-milliliter container. True or false?
Answers
To consider whether this statement is true or not
⇒ must determine the number of milliliters in a liter
⇒ 1 Liter = 1000 milliliter
To compare both containers, lets set both containers in terms of milliliters
Container 1 --> 2 Liter Capacity --> 2000 milliliterContainer 2 --> 3000 milliliterBy looking at the data
⇒ the 3000-milliliter container holds more than the2-liter container
Thus, the statement: A 2-liter container holds more than a 3,000-milliliter container
⇒ False
Answer: False
Hope that helps!
Answer:
False because 2 liters = 2,000 milliliters. Therefore that is not possible.
please help me with this problem!
Answers
Answer:
The choice A ;
\( \frac{1}{ {7}^{8} } \)
Step-by-step explanation:
\( \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } \)
Hii!
Answer:
Step-by-step explanation:
Use the rule of exponents.
If we divide two numbers with the same bases, we subtract the exponents.
7^-6/7^2=7^-6-2=7^-8
Now, if we have a negative exponent, we flip over the number.
7^-8=1/7^8
Great job!
—
Hope that this helped.
Help me with this please
Answers
The two pairs of Adjacent angles in the figure are:
∠1 and ∠3, ∠3 and ∠7.
The correct option is c.
In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:
Adjacent angles to ∠1:
∠1 and ∠5
∠1 and ∠3
Adjacent angles to ∠3:
∠3 and ∠1
∠3 and ∠7
Adjacent angles to ∠5:
∠5 and ∠1
∠5 and ∠7
Adjacent angles to ∠7:
∠7 and ∠3
∠7 and ∠5
Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.
from the given choices,
∠1 and ∠3, ∠3 and ∠7
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Will give brainlest and 50 points!!!
Answers
Answer:
2x=60
x=30
Step-by-step explanation:
Answer:
They are vertically opposite angles and x = 30
What are vertically opposite angles?
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.
How do we get the value of x?
60 = 2x
2x = 60
x = 60/2
x = 30
Hope this helps :)
Pls brainliest...
Solve for w.6+17w= -15+14w Simplify your answer as much as possible
Answers
Given:
\(6+17w=-15+14w\)To solve the expression, follow the steps below.
Step 01: Subtract 14w from both sides.
\(\begin{gathered} 6+17w-14w=-15+14w-14w \\ 6+3w=-15 \end{gathered}\)Step 02: Subtract 6 from both sides.
\(\begin{gathered} 6+3w-6=-15-6 \\ 3w=-21 \end{gathered}\)Step 03: Divide both sides by 3.
\(\begin{gathered} \frac{3w}{3}=\frac{-21}{3} \\ w=-7 \end{gathered}\)Answer: w = -7.
Write the phrase as an expression
the quotient of 22 and a number a
Answers
Answer:
22/a
Step-by-step explanation:
The quotient of 22 and a number = 22/a
6x-2=8x-8 please i forgot how you do this
Answers
Answer:
x = 3
Step-by-step explanation:
6x - 2 = 8x - 8 ( subtract 8x from both sides )
- 2x - 2 = - 8 ( add 2 to both sides )
- 2x = - 6 ( divide both sides by - 2 )
x = 3
Answer:
x=3
Step-by-step explanation:
what are the prime factors of 24 and 42
Answers
Answer:
the prime factors of 24 and 42 is 6
Step-by-step explanation:
Answer:
2,3
Step-by-step explanation:
Both 24 and 42 have two of the same prime factors which is 2 and 3. The prime factors of 24 are 2 and 3. Some of the prime factors of 42 is 2,3, and 7. 2 and 3 are prime numbers and 24 and 42 both have them as factors.
The Greatest Common Factor of 24 and 42 is 6.
Hope this helps.
Solve And Graph 12 + 6 _> 42
Answers
Answer:
Steps
12+6>42
simplify
18>42
There for the solution us FALSE
Find the vectors t, n, and b at the given point. r(t) = 3 cos t, 3 sin t, 3 ln cos t , (3, 0, 0)
Answers
Here are the vectors **t**, **n**, and **b** at the given point:
* **t** = (-3 sin t, 3 cos t, 0)
* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)
* **b** = (3 cos^2 t, -3 sin^2 t, -3)
The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.
To find the vectors **t**, **n**, and **b**, we can use the following formulas:
```
t(t) = r'(t) / |r'(t)|
n(t) = (t(t) x r(t)) / |t(t) x r(t)|
b(t) = t(t) x n(t)
```
In this case, we have:
```
r(t) = (3 cos t, 3 sin t, 3 ln cos t)
r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)
```
Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.
The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.
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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
= (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
= (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.
The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.
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equations is the inverse of y = x^2-5?
Answers
Answer:
Step-by-step explanation:
1. Interchange x and y. We get: x = y^2 - 5
2. Solve for y: y^2 = x + 5, so that y = ±√(x + 5)
What is (-7, -3) reflected over the y-axis
Answers
Answer:
(7, 3)
Explanation:
(-7, -3) are reflected to positives over the y-axis
Answer:
(-7, -3) reflected over the y-axis = (7, -3)
Step-by-step explanation:
[y]
|
______|_____[x]
(-7, -3) |
|
_________
[y]
|
______|_____[x]
(-7, -3) →|
|
__________
[y]
(-x,+y) | (+x,+y)
______|_____[x]
(-7, -3) → |
(-x, -y) | (+x,-y)
____________
[y]
(-x,+y) | (+x,+y)
______|_____[x]
(-7, -3) → | (7, -3)
(-x, -y) | (+x,-y)
Does this set of ordered pairs form a function?
{(60, reading), (62, camping), (64, skiing), (65, hiking), (66, hiking), (67, camping), (69, reading), (70, reading), (71, camping), (73, swimming), (74, camping)}
A. yes
B. no
Answers
Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:
A. yes.
When does a relation represent a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
The input is a number.The output is an activity.There are no repeated inputs, hence the relation is a function and option A is correct.
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If f(x) = 3^x + 10x and g(x) = 2x - 4, find (f + g)(x)
Answers
Answer:
3^x + 10x+2x-4
Step-by-step explanation:
f(x) = 3^x + 10x and g(x) = 2x - 4
(f + g)(x)= 3^x + 10x+2x-4
Answer:
(f + g) x = 3 ^x + 10 x + 2 x - 4
Step-by-step explanation:
f (x) = 3^x + 10 x and g(x) = 2x - 4,
sum of f (x ) and g ( x ) =
(f + g) x = 3 ^x + 10 x + 2 x - 4
2. Given that (ab - c) + d = e
Solve for a
Answers
Ab=e-d+c
A=e-d+c/b
Current Attempt in Progress Crane Co. has the following transactions related to notes receivable during the last 2 months of the year. The company does not make entries to accrue interest except at December 31. Nov. 1 Loaned $52,800 cash to C. Bohr on a 12-month, 8% note. Dec. 11 Sold goods to K. R. Pine, Inc., receiving a $3,600, 90-day, 9% note. 16 Received a $7,200, 180-day, 9% note to settle an open account from A. Murdock. 31 Accrued interest revenue on all notes receivable. Journalize the transactions for Crane Co. (Omit cost of goods sold entries.) (Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem. Use 360 days for calculation.) Date Account Titles and Explanation Debit Credit Choose a transaction date Enter an account title Enter a debit amount Enter a credit amount Enter an account title Enter a debit amount Enter a credit amount Choose a transaction date Enter an account title Enter a debit amount Enter a credit amount Enter an account title Enter a debit amount Enter a credit amount Choose a transaction date Enter an account title Enter a debit amount Enter a credit amount Enter an account title Enter a debit amount Enter a credit amount Choose a transaction date Enter an account title Enter a debit amount Enter a credit amount Enter an account title Enter a debit amount Enter a credit amount
Answers
Crane Co. journalized the transactions by recording debits and credits to the appropriate accounts, such as Notes Receivable, Cash, Sales Revenue, and Accounts Receivable. Interest revenue on the notes receivable was accrued at the end of the year.
Here are the journal entries for the transactions of Crane Co. related to notes receivable:
Nov. 1:
Cash 52,800
Notes Receivable 52,800
Dec. 11:
Notes Receivable 3,600
Sales Revenue 3,600
Dec. 16:
Notes Receivable 7,200
Accounts Receivable 7,200
Dec. 31:
Interest Receivable [Calculate interest for each note]
Interest Revenue [Calculate interest for each note]
Note: Since the problem does not provide specific dates for the last transaction (Dec. 31) and interest accrual, it's not possible to provide the exact amounts for the Interest Receivable and Interest Revenue accounts.
You'll need to calculate the interest for each note based on the given information (principal, interest rate, and time) and record the appropriate amounts in the journal entries.
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16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the above information in Venn diagram. b) Find the number of students who drink only one drink.
Answers
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
PLEASE HELP ME... ANYONE.... i am begging you. i will mark brainiest, whatever you want. please help...
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
plz make the answer in this format: x - y = z ( a number minus a number equals a number) thank you so much guys!!
Answers
Answer:
5m - 6 = 19Step-by-step explanation:
We are given:Monday x 2 = Tuesday
Tuesday - 6 = Wednesday
Lets say
Monday = m
Tuesday = t
Wednesday = w
m = m
2m = t
2m - 6 = w
Combine like terms: 5m - 6 = 19
Add 6 to both sides
5m = 25
Divide both sides by 5
m = 5
Plug it in the equations.
Monday = 5
Tuesday = 10
Wednesday = 4
Answer:
5x - 6 = 19
Step-by-step explanation:
John was 40" tall in 2008 and 46" tall in 2010. Dave was 53" tall in 2003 and 70" tall in 2007. Who is growing at
a faster rate? If each person keeps growing at the same rate, how tall can we expect each to be in 2011? Is this
a reasonable expectation?
Answers
Answer:
John is growing at a faster rate.
Step-by-step explanation:
John grew 6 inches in 2 years, while Dave grew 7 inches in 4 years. We can expect John to grow another 3 inches by 2011, making John 49 inches tall in 2011. We can expect Dave to grow about another 7 inches by 2011, since another 4 years has passed. This seems reasonable enough...
Solve for the indicated variable
x=3y for y
Answers
Answer:
\(y = \frac{x}{3} \)
Step-by-step explanation:
divide both sides by 3 to get the answer
what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
Answers
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
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how many 7 letter words can be made from mathisfun if each word must have 4 consonants and 3 vowels?
Answers
There are 5040 possible combination of 7 letter words using 3 vowels and 4 consonants.
We know that the word must have 4 consonants and 3 vowels. We have the following vowels in "mathisfun" : i, a, and u.
We have 7 letters that can be used as consonants: m,t,h,s,f,n.
First we need to find the number of ways to choose the 4 consonants out of 7 possible letters, which is 7C4 = 35.
Then we need to find the number of ways to arrange the 4 consonants and 3 vowels, which is 4!*3! = 144
Finally, we multiply those two values together: 35 * 144 = 5040.
So there are 5040 7 letter words that can be made from "mathisfun" if each word must have 4 consonants and 3 vowels.
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3 metal cubes that sit next to each other have sides of 5 yards are next to each other. How much total stuff can fit into the cubes?
Answers
Answer:
375\(yd^{2}\)
Step-by-step explanation:
A square has a diagonal that is 36 mm long. What is the area of the square?
If necessary, round your answer to the nearest whole number.
Answers
Answer:
18mm
Step-by-step explanation:
in the triangle we will say:
36=x^2 +x^2
36=2x^2
so x will be = root 18
as the area = x*x
so root 18 * root18=18mm^2
5(x-2)=x+1
Pls help
(No spam)
Pls show work
Answers
Answer:
\(5(x - 2) = x + 1 \\ 5x - 10 = x + 1 \\ 5x - x = 1 0+ 1 \\ 4x = 11 \\ x = \frac{11}{4} \)