The factors are (x + 1)(x + 2)(x + 10)
What is Factorization?The process of breaking down an entity—for instance, a number, a matrix, or a polynomial—into a product of another entity—or factors—that, when multiplied together, yield the original number, matrix, or other entity is referred to as factorization or factoring.
Given Equation x³ + 13x² + 32x + 20
so The value of x³ + 13x² + 32x + 20 is
x³ + x² + 12x² + 12x + 20x + 20
=x² (x+1) + 12x (x+1) + 20(x+1)
=(x + 1)(x² + 12x + 20)
=(x + 1)(x² + 10x + 2x + 20)
=(x + 1)[x(x + 10) + 2(x + 10)]
=(x + 1)(x + 2)(x + 10)
Hence the factors are (x + 1)(x + 2)(x + 10).
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The correct question is
Factorize x³ + 13x² + 32x + 20
What is the geometric mean of 6 and 8?
Answer:
16 square root 6
Step-by-step explanation:
The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
What is geometric mean?The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:
[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
The two given numbers are 6 and 8
That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]
Substitute [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
[tex]GM=\sqrt{6 \times 8}[/tex]
Simplifying further:
[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]
Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
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Please, nobody answered it!!! :C
Answer:
C. 59
Step-by-step explanation:
Hello There!
Remember the angles in a triangle add up to equal 180
So if we want to find a missing angle we subtract the given angles ( in this case 65 and 56) from 180
So missing angle = 180 - 65 - 56
180 - 65 = 115
115 - 56 = 59
So we can conclude that the missing angle has a measure of 59 degrees
Answer:
C: 59
Step-by-step explanation: His explanation is correct, I did it myself.
HELP FAST I'LL MARK YOU BRAINLIEST
Which below is not always true about a Rhombus?
1. All side are equal
2. Opposite sides are equal and congruent
3. Consecutive angles are supplementary
4. Diagonals are congruent
Answer:
#4 is not always true, only when it's a square.
identify the equation whose graph is a vertical line.
a) y=x/3-1
b) y=0
c) x=0
What Is the difference between the number of students who earned a score 90 or greater In class 2 and the number of students who earned a 90 or greater in class 1
Answer:
1
Step-by-step explanation:
1/2 of 12 students scored a 90 or above in class 2, which is 6
1/4 of 20 students scored a 90 or above in class 2, which is 5
6 - 5 = 1
You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible average amounts of money that you can save per week in order to have a total of at least $1800 saved?
Answer:
$92.86
Step-by-step explanation:
Since it's AT LEAST 1800, the inequality sign would be ≥ 1800
Equation:
500 + 14x ≥ 1800
14x ≥ 1800 - 500
14x ≥ 1300
x ≥ 92.86
7) The ratio of lipsticks to eye shadow in my makeup bag is 1:9. The ratio of eye shadow to mascara is 3:2. Given that I have 3 more eye shadows than mascaras, how many lipsticks do I have?
Answer:
1
Step-by-step explanation:
If you have 1 lipstick, then you have 9 eye shadows, at the same time, if you have 3 eye shadows, you have 2 mascaras. Since it's stated from the first part that you have 9 eye shadows, then going by the ratio, you must have 6 mascaras.
Final part says if there are 3 more eye shadows than mascaras, how many lipsticks have you.
This is quite straightforward, because from the relation I've established up ahead, we have 9 eye shadows and 6 mascaras. And 9 is 3 more than 6. Essentially, this means that the number of lipsticks will remain 1
PLEASE HELP WILL MARK BRAINLIEST HELP QUICK
Answer:
first one is 16,956m^2 second one is 6 in
Jason and Pam recently bought a house. They financed the house with a $250,000, 30-year mortgage with a nominal interest rate of 77% compounded monthly. Mortgage payments are made at the end of each month. What would be their house payment?
Answer:
Annual payument (PMT)= $1,663.19
Step-by-step explanation:
Giving the following information:
Loan (PV)= $250,000
Monthly interest rate (i)= 0.07/12= 0.005833
Number of periods (n)= 12*30= 360 months
To calculate the monthly payment, we need to use the following formula:
Annual payument (PMT)= (PV*i) / [1 - (1+i)^(-n)]
Annual payument (PMT)= (250,000*0.005833) / [1 - (1.005833^-360)]
Annual payument (PMT)= $1,663.19
find the surface area of the pyramid
Answer:
864cm squared
Step-by-step explanation:
The base is 16 x 16
The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}
42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0
Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Which is the opposite of -5?
Answer: 5
Step-by-step explanation: 5*-1=-5
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three
loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework Help!
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread.
Answer:
a) For Khalil's purchase
4x + 3y = 11.67.....Equation 1
For Ronda's purchase
8x + y = 12.89......Equation 2
b) A can of soup = x = $2.09
Loaf of bread = y = $1.35
Step-by-step explanation:
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three
loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework Help!
Let us represent:
a can of soup = x
Loaf of bread = y
a. Write equations for both Khalil's and Ronda's purchases.
For Khalil's purchase
= Khalil buys four cans of soup and three loaves of bread for $11.67.
4x + 3y = 11.67.....Equation 1
Ronda buys eight cans of soup and one loaf of bread for $12.89.
8x + y = 12.89......Equation 2
b. Solve the system to find the price of one can of soup and the price of one loaf of bread.
We have:
4x + 3y = 11.67.....Equation 1
8x + y = 12.89......Equation 2
y = 12.89 - 8x
We substitute 12.89 - 8x for y in Equation 1
4x + 3(12.89 - 8x) = 11.67
4x + 38.67 - 24x = 11.67
38.67 - 11.67 = 24x - 4x
27 = 20x
x = 27/20
x = 1.35
y = 12.89 - 8x
y = 12.89 - 8 × 1.35
y = 12.89 - 10.8
y = 2.09
Therefore,
Solving for y
a can of soup = x = $2.09
Loaf of bread = y = $1.35
The area of a rectangle is equal to its length times its width. If the area of a rectangle
is 14x + 42 square feet, which option(s) could be the length and width of that rectangle?
Answer:
d
Step-by-step explanation:
14
km
Find the area of the triangle.
A)
52 km2
B)
84 km2
C)
168 km2
D)
336 km2
Answer:
its D
336 km2
Step-by-step explanation:
Please answer the question bellow
No solution
because delta ( b^2 - 4ac ) is lower than 0(zero) .
Help this is due in 2 minutes
First, convert R as a percent to r as a decimal
r = R/100
r = 8.4/100
r = 0.084 rate per year,
Then solve the equation for A
[tex] A = P(1 + \frac{r} {n})^{nt} \\\\ A = 10,000.00(1 + \frac{0.084}{12})^{(12)(30)} \\\\ A = 10,000.00(1 + 0.007)^{(360)} \\\\ A = \$ 123,199.63[/tex]
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 8.4% per year compounded 12 times per year over 30 years is $123,199.63.
Please help me out with this
Answer:
Step-by-step explanation:
surface area = 3^2 : 11^2
volume = 3^3 : 11^3
width = 3: 11
hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal. But I like the exponential form better.
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks
Answer:
lk
Step-by-step explanation:
on
⚠️ ⚠️ ⚠️ PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?
A. States had to pay taxes set by Congress and provide soldiers during war time.
B. States had to provide representatives to Congress but soldiers were sent only to state militaries.
C. States sent representatives to Congress and provided soldiers and some officers to protect the country.
D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.
Answer:
i think the answer would be b
Step-by-step explanation:
sorry if i am wrong
Which expression is not a polynomial?
Please help pleaseeee I really need answers only
☁️ Answer ☁️
5. IS E (none of these)
Because I got:
-125y^5/162x
6. X = 5/3
Hope it helps.
Have a nice day noona/hyung.
Answer:
5. C. (250xy⁴)/2436. C. x = 5/3
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a side of 15. If the volumd of the two prisms are equal, what is the height of the second prism?
Answer:
6cm
Step-by-step explanation:
correct for 100 points i swear
Help me grade 9! Thankyou
Answer:
got ya
Step-by-step explanation:
QUADRATIC EQUATIONS HELP
Answer:
[tex](x-12)^2[/tex] & [tex] 144[/tex]
Step-by-step explanation:
The Equation given to us is ,
[tex]\implies x^2 -24x + \cdots [/tex]
Here we need to find the value of the blank such that it is a perfect square.
This can be in the form of ,
[tex]\implies (a-b)^2 = a^2+b^2-2ab [/tex]
On looking at equation ,
[tex]\implies x^2 -2(12)x + \cdots [/tex]
For the whole equation to be whole square , the number that should replace the blank is 12² .
[tex]\implies x^2 -2(12)x + 12^2\\\\\implies (x-12)^2[/tex]
Therefore 144 should be added .
Dwayne is having a birthday party with a total of 37 people (including himself). He needs to buy enough cases of soda to have 2 cans for each person. If a case of
soda contains 12 cans, how many cases will he need to buy?
Answer:
I do not know
Step-by-step explanation:
10. Mason earns $10 for each lawn he mows. How much will he earn if he mows 6 lawns?
A. Write and solve an equation to solve the problem. Show your
work.
Answer:
60
Step-by-step explanation:
just multiply 10 by 6 why is this in highschool math though.
348.562 in expanded form:
Answer:
300 plus 40 plus 8 plus 0.5 plus 0.06 plus 0.002
A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length BD.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ AD² + CD² = AC²
The value of AD is 54 and the value of AC is 90:
54² + CD² = 90²
Solve for CD:
54² + CD² = 90²
CD² = 90² - 54²
CD² = 5184
CD = √5184
CD = 72
ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ BD² + CD² = BC²
The value of CD is 72 and the value of BC is 97:
BD² + 72² = 97²
Solve for BD:
BD² = 97² - 72²
BD² = 4225
BD = √4225
BD = 65
Answer: The length of BD is 65 units.
What is the scale factor from Figure A to Figure B?