The product of (x + 3)² demonstrates the closure property of multiplication. [tex]\rm x^{2} + 6x + 9[/tex] is a polynomial. Option D is correct.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
What is the closure property of multiplication?A set is closed under an operation when we do that operation on the member of the set and we always get a set member.
Given
An expression is (x + 3)²
On simplifying, we have
[tex]\rm (x + 3)(x + 3)\\\\x (x + 3) + 3 (x + 3)\\\\x^{2} +3x +3x +3^2\\\\x^{2} +6x + 9[/tex]
Thus, [tex]\rm x^{2} + 6x + 9[/tex] is a polynomial.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Answer:
Option D
Step-by-step explanation:
Find the measures of each numbered angles
Answer:
∠ 1 = 109° , ∠ 2 = 29° , ∠ 3 = 71°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
∠ 1 + 35° + 36° = 180°
∠ 1 + 71° = 180° ( subtract 71° from both sides )
∠ 1 = 109°
-------------------
∠ RVU and ∠ 1 are adjacent angles on a straight line and sum to 180° , then
∠ RVU + ∠ 1 = 180°
∠ RVU + 109° = 180° ( subtract 109° from both sides )
∠ RVU = 71°
In Δ RVU
∠ 2 + 80° + 71° = 180° ( sum of angles in triangle )
∠ 2 + 151° = 180° ( subtract 151° from both sides )
∠ 2 = 29°
-------------------------
∠ 3 and ∠ RVU are vertically opposite angles and are congruent , then
∠ 3 = 71°
Δ UVT has: ∠V₁ = 180⁰ - ∠TUV - ∠VTU = 180⁰ - 35⁰ - 36⁰ = 109⁰
We have: ∠RVU = ∠V₃ = 180⁰ - ∠V₁ = 180⁰ - 109⁰ = 71⁰
ΔRVU has: ∠U₂ = 180⁰ - ∠URV - ∠ RVU = 180⁰ - 80⁰ - 71⁰ = 29⁰
Answer:
∠V₁ = 109⁰∠U₂ = 29⁰∠V₃ = 71⁰Ok done. Thank to me :>
Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet. If a countertop in the kitchen is 22 inches long in the drawing, how long is the actual counter?
Joe used a total of 4 and 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving?
Write your answer as a mixed number in simplest form.
Answer: 5 & 7/10 hours
Work Shown:
4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75
total gas used = (gas used per hour)*(number of hours)
4.75 = (5/6)x
(5/6)*x = 4.75
x = (6/5)*4.75
x = 5.7
x = 57/10
x = (50+7)/10
x = 50/10 + 7/10
x = 5 + 7/10
x = 5 & 7/10
Help please how do i do this problem
Answer:
Choose any number to be the variable x, then multiply it by 13.2 for your answer.
Step-by-step explanation:
Choose a number for the variable x, and put it in the box with parentheses.
Then, multiply it by 13.2 for your final answer, and put it in the open box.
Hope this helps. Btw, can I have Brainliest? PLEASE PLEASE PLEASE?!
3,108 + 5,468 6987 +907
Answer:16470
Step-by-step explanation: I don’t know if there all adding together cause there’s not much information
Answer:
54,691,002
Step-by-step explanation:
96 stickers on 8 pages = _____ stickers per page.
[tex] \tt \to \dfrac{96}{8} [/tex]
[tex] \\ \\ [/tex]
[tex] \tt \to \: 12 \: stickers[/tex]
Verify:-
12 × 8 = 96
hope it helped u!
Answer:
96/8
I promise you that it os
This relationship is not a function. Choose the sentence or
sentences that explain why.
10
х
1
у
2
8
6
N7000
x=1
6
8
10
2
0
N
4
The graph is a line.
The graph intersects
the x-axis.
The input x-1 has
many outputs.
The graph is a
vertical line.
Answer:
The input x = 1 has many outputs.
The graph is a vertical line.
Step-by-step explanation:
Hi there!
A function is defined as a relation that only gives one output for every given input. For every x-value, there is only one y-value.
Because the x-value of 1 gives us an infinite number of y-values, this is therefore not a function.
More generally, no vertical line is a function for this reason.
I hope this helps!
Piper invested $4,700 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, , would be in the account after 19 years?
Answer:
$ 11699.69
Step-by-step explanation:
Reginald and his friends are going on a road trip that is 32.75 miles long. If they have 12.5 miles until their destination, how far have they already traveled? Answer in decimal form.
Answer:
They have already traveled 20.25 miles.
Step-by-step explanation:
To find out how far they've already traveled, we need to subtract the length of the road trip and the distance until their final destination.
32.75-12.5=20.25
Answer:20.25
Step-by-step explanation:
just subtract the length of the road trip and the distance to their final destination.
Can someone help solve this equation?
Answer:
(3x+2) + (2x-2) = 2*15
....
how do you find a scale factor of 15 inches /20 ft.?
Answer:
x^2 - 1 = 0
3x^2 - 15x = 0
x^2 - 3x = 0
Step-by-step explanation:
Sorry if I am wrong.
QUICK!! I need help on this Equation. I will make you Brainlist!!!
12. Arithmetic
xn = a + (n-1) d
n = 5 (three aritmetic, 4 and 12)
Input the value:
12 = 4 + 4d
8 = 4d
d = 2
the value: 4, 6 , 8 , 10 , 12
13. Arithmetic
xn = a + (n-1) d
n = 4 (two aritmetic, 4 and 19)
Input the value:
19 = 4 + 3d
15 = 3d
d = 5
the value: 4, 9 , 14 , 19
14. geometric
[tex]\tt a_n=ar^{n-1}[/tex]
n = 4 (two geometric, 2 and 54)
input the value:
52 = 2r³
r = 3
the value: 2, 6, 18, 54
15. geometric
[tex]\tt a_n=ar^{n-1}[/tex]
n = 4 (two geometric, 5 and 40)
input the value:
40 = 5r³
r = 2
the value: 5, 10, 20, 40
24 as the product of 2 factors
Answer:
1 × 24 = 24 1, 24
2 × 12 = 24 2, 12
3 × 8 = 24 3, 8
4 × 6 = 24 4, 6
6 × 4 = 24 6, 4
8 × 3 = 24 8, 3
12 × 2 = 24 12, 2
24 × 1 = 24 24,1
Step-by-step explanation:
Hi!
I can help you with joy!
Remember, the product of means we multiply 2 numbers.
There are lots of ways we can write 24 as a product of 2 factors:
1×24
2×12
3×8
4×6
And the other way around as well:
6×4
8×3
12×2
24×1
Hope it helps!
Enjoy your day!
~Misty~
The sum of the measures of three adjacent angles is 150∘. The measures of the angles are in the ratio of 1:2:3. What is the measure, in degrees, of the largest angle?
Answer:
75°
Step-by-step explanation:
1:2:3
so there are a total of 6 parts. Then, each part would be:
=) 150÷6= 25
The largest angle is 3 parts. so, if 1 part is 25, 3 parts is 25×3= 75
The largest angle is is 75°
Hope this helps!
In an arithmetic sequence, the first term,
a1, is equal to 9, and the sixth term, a6, is
equal to 34. Which number represents the
common difference of the arithmetic
sequence?
Answer:
See below
Step-by-step explanation:
Add 5 to each preceding number
[tex]a_{n}[/tex] = ([tex]a_{n-1}[/tex])+5
1 9 9
2 14 [9+5]
3 19 [14+5]
4 24 [19+5]
5 29 [24+5]
6 34 34 [29+5]
Can somebody please help and try to answer this word problem and showing your work while doing it, thank you!!!
WILL MARK BRAINLIEST FOR ANYONE WHO CAN ANSWER THIS QUICKLY AND CORRECTLY!! :DDD
Answer:
Do you understand?
Step-by-step explanation:
you gained 23 (14+9)
and lost 7 yards(23-7=16)
so you will still have gained 16yds in total
16 yards was the overall gain.
What is the equation of the line through (4, 2) and (0, -2)?
3 of 5 QUESTIONS
O y=x+2
O y=-x-2
O y=x-2
O y=-x+2
SUBMIT
Answer:
y=x-2
Step-by-step explanation:
set up in y1-y2/x1-x2
2 - (-2)/4 - 0
4/4 = 1
so x=1 and the y intercept is -2
so the answer is C
You rent an apartment that costs $1200 per month during the first year, but
the rent is set to go up $90 per year. What would be the monthly rent during
the 6th year of living in the apartment?
Answer:
In year 6 monthly rent would cost you $1650 and it would cost $19,800 for the whole year of year 6
Step-by-step explanation:
1200x12=14,400 = year 1
1290x12=15,480=year 2
1380x12=16,560=year 3
1470x12=17,640=year 4
1560x12=18,720=year 5
1650x12=19,800=year 6
The monthly rent during the 6th year of apartment is A = $ 1,650
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
After each year, the rent goes up by $90, so in the second year the rent would be $1200 + $90 = $1290 per month, in the third year it would be $1290 + $90 = $1380 per month, and so on
On simplifying the equation , we get
Therefore, during the 6th year of living in the apartment, the monthly rent would be:
A = $1200 + ($90 x 5)
A = $1200 + $450
A = $ 1,650
Hence , the monthly rent is A = $ 1,650
To learn more about equations click :
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can someone step by step explain the answer to me please and thank u
First
angle in front of c is 30°, so hypotenuse is equal to 2c
it's right triangle, so let's use Pythagorean theorem\
[tex](2c)^2=c^2+4^2\\4c^2=c^2+16\\3c^2=16\\\\c^2=\dfrac{16}{3} \\\\c=\dfrac{4}{\sqrt{3} } =\dfrac{4\sqrt{3} }{3 }[/tex]
Second
b - the base of the triangle, angles at the base are equal ⇒ cathets are equal
it's right triangle, so let's use Pythagorean theorem
[tex]b^2=7^2+7^2\\b^2=49+49\\b=\sqrt{2\times49} =7\sqrt{2}[/tex]
Need help solving for X
Answer:
x = 9
Step-by-step explanation:
1: Make an equation
[tex]180 = 54 + 6x + 8 + 180 - (11x + 17)[/tex]
2: factor the -1
[tex]180 = 54 + 6x + 8 + 180 -11x - 17[/tex]
2: move x to one side
[tex]11x - 6x = 54 + 8 + 180 - 17 - 180[/tex]
3: simplify
[tex]5x = 45[/tex]
4: solve for x
[tex]x=9[/tex]
Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What percent of students scored above 75 points?.
Using the normal distribution, it is found that 59.09% of students scored above 75 points.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is [tex]\mu = 76.4[/tex].The standard deviation is [tex]\sigma = 6.1[/tex].The proportion of students who scored above 75 points is 1 subtracted by the p-value of Z when X = 75, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{75 - 76.4}{6.1}[/tex]
[tex]Z = -0.23[/tex]
[tex]Z = -0.23[/tex] has a p-value of 0.4091.
1 - 0.4091 = 0.5909
0.5909 = 59.09% of students scored above 75 points.
You can learn more about the normal distribution at https://brainly.com/question/24663213
Name the three different types of proofs you saw in this lesson. Give a description of each.
One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof.
You already have the answer. It is "One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof." which looks correct to me.
2 km
Find the volume of the sphere. Show
your work.
Answer:
See answer below
Step-by-step explanation:
[tex]V = \frac{4}{3} \pi r^3[/tex] 2km = radius
[tex]V=\frac{4}{3}\pi (2)^3[/tex]
[tex]V = \frac{4}{3}\pi (8)[/tex]
[tex]V = \frac{4}{3}(8)\pi[/tex]
[tex]V =\frac{32}{3}\pi[/tex] [tex]\pi =3.14[/tex]
[tex]V = \frac{32}{3}(3.14)[/tex]
[tex]V = 33.493[/tex]
V≈ 33.49
Using π on the calculator
[tex]V = \frac{32}{3} \pi[/tex]
[tex]V = 33.510[/tex]
V ≈ 33.51
PLS HELP CAN’T FIGURE OUT HOW TO FIND b OR c ASAPPPPPPPPP
Answer:
b = 0.35 ; c = 2.03
Step-by-step explanation:
tan = opposite/hypotenuse
Therefore, tan (10) = b/2
b = 2 tan (10) = about 0.35
Use the Pythagorean theorem to find that c = 2.03
The values StartRoot 12 EndRoot and StartRoot 15 EndRoot are plotted on the number line. A number line going from 0 to 4. StartRoot 12 EndRoot is to the right of 3, and StartRoot 15 EndRoot is to the right of StartRoot 12 EndRoot. What is the approximate difference in tenths between StartRoot 12 EndRoot and StartRoot 15 EndRoot? 0. 2 0. 4 1. 5 1. 7.
Approximate difference between √12 and √15 on plotted number line is 0.4. Option B is the correct option.
What is the number line?The number line is the way of representation of number and digits in an arranged form to understand the data batter.
The number line going from 0 to 4. √12 is to the right of 3, and √15 is to the right of √12. Therefore, the arranged value on the number line appears as,
3, √12, √15
In the number line given, the value of √12 is near 3.4 and the value of √15 is near 3.8. The difference between both the values is,
[tex]d=3.8-3.4\\d=0.4[/tex]
The approximate difference in tenths between √12 and √15 on the plotted number line is 0.4. Option B is the correct option.
Learn more about the number line here;
https://brainly.com/question/24644930
Answer:
its c 28
Step-by-step explanation:
Help! Please answer quickly and accurately or I'll report your answer.
Nora rings up an item that costs $86.25. After sales tax, the total is $91.08. What is the sales tax percentage?
Write your answer as a decimal using a percent sign (%). For example, 0.5% or 12.7%
Answer:
The sales tax is equal to 5.6%
Step-by-step explanation:
To solve first we have to subtract the item's cost before sales tax from the total due. 91.08 - 86.25 = 4.83.
Next we take the amount we payed as tax and divide it by the pre-tax price. 4.83/86.25 = 0.056
Lastly we take 0.056 and convert it to a percentage. This can be accomplished by moving the decimal sign to 2 times to the left or multiplying the tax rate by 100.
The sales tax percentage is equal to 5.6%
Hope this helps you out :)
Rewrite x1/2 in radical form.
A. √x
B. √x2
C. 1/√x
D. -√x
Answer:
we can write [tex]x^{\frac{1}{2} }[/tex] as [tex]\sqrt{x}[/tex] in radical form. { fact }
3 Claudia draws four cards with integers on them.
She must choose two of the integers to multiply.
The cards that should be chosen by Claudia from the integers in order to make the greatest product will be 0 and 3.
How to solve the integersFrom the complete question, it should noted that the number on the cards are -3, -2, 3, and 0.
In this case, she needs the card that will give her the greatest product. Therefore, the cards that should be chosen will be 0 and 3 which gives 0 unlike others that will give a negative value.
Learn more about integers on:
https://brainly.com/question/17695139
HELP ME what is the slope of a line y=20x
Answer:
20
Step-by-step explanation:
This equation is in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. Therefore, the slope is 20
I really need some help
Answer:
CEFA
Step-by-step explanation:
1. [tex]p=2(2x)+2(3x+2)=4x+6x+4=10x+4[/tex]
2. [tex]p=2(x)+2(4x+1)=2x+8x+2=10x+2[/tex]
3. [tex]p=2(7)+2(x+5)=14+2x+10=2x+24[/tex]
4. [tex]p=2(5)+2(4x-3)=10+8x-6=8x+4[/tex]
Hope this helps