Factor x2 + 3x + 2 A) (x + 3)(x + 1) B) (x + 2)(x + 1) C) (x + 2)(x - 1) D) (x - 2)(x + 1) E) (x - 2)(x - 1)
Answer:
(x + 1) (x + 2)
Step-by-step explanation:
x² + 3x + 2
We can Split the Middle Term of this expression to factorise it
In this technique, if we have to factorise an expression like ax² + bx + c,
we need to think of 2 numbers such that:
N₁ · N₂ = a · c = 1 · 2 = 2
And,
N₁ + N₂ = b = 3
After trying out a few numbers we get N₁ = 2 and N₂ = 1
2 · 1 = 2 and 2 + 1 = 3
x² + 3x + 2 = x² + 2x + x + 2
x (x + 2) + 1 (x + 2)
(x + 1) (x + 2) , is the factorized form.
Answer:
(x+2)(x+1)
Step-by-step explanation:
[tex]x^{2} +3x+2[/tex]
→Multiply the first and last term's coefficient =1×2=2
Now,
→Factors of 2=2,1
→Using 2 and 1 we must add up to 3
Now we get,
[tex]\hookrightarrow x^{2} +3x+2\\\\\hookrightarrow x^{2} +2x+x+2[/tex]
Here when we add 2x and x we get 3x.
Now,
Take common x from x²+2x as well as 1 from x+2
Then we get,
[tex]\hookrightarrow x^{2} +2x+x+2\\\\\hookrightarrow x(x+2)+1(x+2)\\\\[/tex]
Here, x+2 is common. So we can write both of them as one.
[tex]\hookrightarrow (x+2)(x+1)[/tex]
And it is our final answer.
Hence, the final factors are (x+2)(x+1)
The sum of two numbers is 55. Their difference is −1. Find the numbers.
Step-by-step explanation:
lets say the first is x and the second is y then we can say
x+y=55 ......1
x-y= -1 .......2
by adding 1 with 2 then
x+y+x-y=55+(-1)
==> 2x= 55-1=54
==> x= 54/2=28
if we put x=28 in the 2nd equation then
28-y= -1
==> y=29
Choose which statements are true:
I. Every parallelogram is a rhombus.
II. Every rhombus is a parallelogram.
III. Every quadrilateral has 4 sides.
Answer:
II. Every rhombus is a parallelogram.
III. Every quadrilateral has 4 sides.
Step-by-step explanation:
Not all parallelograms are rhombuses because a rhombus needs to have equal sides, but a parallelogram does not.
The definition of a rhombus is "a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides" so all rhombuses are parallelograms.
The definition of a quadrilateral is having four sides, so all quadrilaterals will have four sides.
|x+3/4|= 5 6/7 please help with this question from 6.2 russian mathemetics school
Answer:
143/28 or -185/28
Step-by-step explanation:
Negative case
-(x+3/4))=(41/7)
-x-(3/4)=(41/7)
-x=(185/28)
x=-(185/28)
Positive case
(x+(3/4))=(41/7)
x=(143/28)
lol this was easy r u sure its 6 grade?
Answer:
143/28 or -185/28
Natasha cut a round pizza into 8 equal slices .What is the angle measure of each slice?Write and solve an equation.
Help 4 easy math questions
Answer:
31.5
Step-by-step explanation:
bxh/2
so 9x7=63 and divided by 2 is 31.5
Answer:
31.5
Step-by-step explanation:
use the formula base times high divided by 2
9x7=63
63/2=31.5
Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).
Equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 36x+9
Thirty six times of x plus nine.
In the expression x is the variable and plus is the operator.
Equivalent expressions are expressions that work the same even though they look different.
The equivalent expression of 36x+9 are 9(4x+1)
and 9.4x +(9.1) we get this factoring the expression.
Now the other expression is 36x-9
Thirty six times of x minus nine.
Minus is the operator in the expression.
The equivalent expressions are 9(4x-1) and 9.4x-(9.1)
Hence, equivalent expressions of 36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)
To learn more on Expressions click:
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Find two integers whose sum is 11 and whose product is 30.
Which of the following options have the same value as 10% of 33?
Choose 3 answers:
A. 0.1 • 0.33
B. 10 • 33
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
(Please help I need this answer fast)
Answer:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Step-by-step explanation:
Knowing that
10% = 0.1 in decimal form
10% = 1/10 or 10/100 in fraction form
of = multiply
Thus, the following is correct:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
We can also solve to find the answer:
10% of 33 = 3.3
0.1 x 0.33 = 0.033
10 x 33 = 330
1/10 x 33 = 3.3
0.1 x 33 = 3.3
10/100 x 33 = 3.3
Hence answer =
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
[RevyBreeze]
Answer:
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Step-by-step explanation:
Before finding the solutions let's first note the following:
Notes :
Of = Multiply
10% ⇒ 0.1 ⇒ 1/10 ⇒ 10/100
Thus, substitute;
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
Therefore,
C. 1/10 • 33
D. 0.1 • 33
E. 10/100 • 33
are the correct answer.
As well as if you multiply/divide all you will all get 3.3
~lenvy~
I WILL GIVE BRAINLY
Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.
mark as brainliest please :)
4. A pet store has 11 lizards, with these lengths in inches:
5 1/2, 5 3/4, 5 3/4, 5 7/8, 5 7/8, 6, 6 1/8, 6 1/8, 6 1/8, 6 1/4, 6 3/8
Draw a line plot for this data
Answer/Step-by-step explanation:
Before we draw a line plot for this data we first need to put then from least to greatest. As well as how many number are each.
Given the following data:
5 1/2
5 3/4
5 3/4
5 7/8
5 7/8
6
6 1/8
6 1/8
6 1/8
6 1/4
6 3/8
We can see that we have:
5 1/2 {1}
5 3/4 {2}
5 7/8 {2}
6 {1}
6 1/8{3}
6 1/4 {1}
6 3/8 {1}
Now put the following from least to greatest:
5 1/2 {1}
5 3/4 {2}
5 7/8 {2}
6 {1}
6 1/8{3}
6 1/4 {1}
6 3/8{1}
We can see that they already in order thus, let put it on a line plot from least to greatest.
~learn with lenvy~
M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)
The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)
How to rewrite the expression?
First, we need to find the greatest common factor between 48 and 66.
To find it, we can write both of these as a product of its prime factors, we get:
48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3
66 = 2*33 = 2*3*11
The greatest common factor that we can make is 2*3 = 6
Then we rewrite the numbers as:
48 = 6*8
66 = 6*11
Now we can rewrite our expression:
48 + 66 = 6*(8 + 11)
So the correct option is C
If you want to learn more about common factors, you can read:
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Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment
Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Gross domestic producta. Consumption
Private S = ( Y – T – C )
C = Y - T - Private S
C = $12 - $3.6 - $1.5 =$6.9 trillion
b. Government purchases
Public S = ( T - G )
G = T - Public S
G = $12 - $0.8
G = $11.2 trillion
c and d. National saving and investment
National savings = Public S + Private S
National savings = $0.8 + $1.5
National savings =$2.3 trillion
Investment=Savings=$2.3 trillion
Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.
Learn more about GDP here:https://brainly.com/question/1383956
What are the zeros of the function below?
F(x) = 8x(x-6)/(x+2)(x+9)
Answer:
x = 0, 6
Step-by-step explanation:
8x(x-6) = 0
x = 0, 6
A grain silo has a cylindrical shape. Its radius is 9 ft, and its height is 41 ft. What is the volume of the silo?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
As Per Provided Information
Radius of cylindrical shape silo 9 ft
Height of cylindrical shape silo 41 ft
We have been asked to determine the volume of cylindrical silo .
[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]
Substituting the given value in above formula and we obtain
[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]
Answer:
Volume is 10428 cubic ft.
Step-by-step explanation:
Given :-
Radius of grain silo is 9ft and height is 41ftTo find:-
Volume of grain siloSolution:-
Volume of cylindrical grain silo :- πr²hPutting the known values ,
Volume:- 3.14 × 9² × 41 cubic ft.
Volume :- 10427.94 cubic ft.
rounding off to nearest whole number ,
Volume :- 10428 cubic ft.
Roger ran eight laps around a 1/4 mile track during PE on Monday. How many feet did roger run in completing eight laps? (Remember there are 5280 feet in a mile)
Answer:
10,560
Step-by-step explanation:
8 x 1/4 --> 8/1 x 1/4
= 8/4 or 2
5,280 x 2 = 10,560
Help picture below problem 12
Answer:
124°
Step-by-step explanation:
Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.
if a man is 6"2 in height and shrinks 3 inches how tall is he now?
Answer:
5"11
Step-by-step explanation:
6 foot 2 inches minus 3 inches is 5 foot 3 inches
Answer:
5'11
Step-by-step explanation:
Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:
no solution
one solution
infinitely many solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
(1) ---- 6x - 4y = 9
(2)---- 12x - 8y = 18
If you multiply (1) by 2 → 12x - 8y = 18 --- (3)
and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions
Answer:
Infinitely Many Solutions!!
Step-by-step explanation:
You need to do elimination method!!
This is because we need to top the equation to cancel out and become negative.
6x−4y=9
12x−8y=18
You could do 6x and everything multiplied by -2. But 4y can do the same too!!
I rather do 4y x -2!
-12x+8y=-18
12x−8y=18
Everything cancels out!!
0=0
But 0 equals to 0 goes on forever so the answer is infinite solutions!!
**The reasoning behind the two other choices**
No solution would be like -3=0 which is not our case!!
One solution has something that goes into everything evenly!
Find the area
A. 100
B. 112
C. 224
D. 46
Answer:
a). 100
Step-by-step explanation:
Finding d₁ and d₂
d₁ = r₁ x 2 = 5 x 2 = 10d₂ = r₂ x 2 = 10 x 2 = 20Finding Area
A = 1/2 x d₁d₂A = 1/2 x 10 x 20A = 1/2 x 200A = 100What is the equation of the line?
O y = 3x
O Y= 1/3x
O y=1/3x+2
O y = 3x+2
Paul invests £500 at a rate of 1.5% per year compound interest.
Find the value of the investment after 3 years.
Give your answer correct to the nearest penny.
Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.
How to calculate compound interest?Mathematically, compound interest is calculated by using this formula:
[tex]A=P(1+r )^{t}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.Given the following data:
Principal = £500.
Time = 3 years
Interest rate = 1.5% = 0.015.
Substituting the given parameters into the formula, we have;
A = 500(1 + 0.015)³
A = 500(1.015)³
A = 500 × 1.0457
A = £522.85.
Conversion:
100 penny = 1 pounds.
X penny = 522.85 pounds.
Cross-multiplying, we have:
X = 522.85 × 100
X = 52,285 penny.
Read more on interest here: brainly.com/question/24341207
4. Ahusan was born on 22 May, 2000 and Junaid was born on 2 October, 2000. Who is elder among the two and by how many months?
ok HARDEST MATH PROBLEM 2+2
Answer:
I dont know i think its 5
Step-by-step explanation:
Answer:
4 :)
Step-by-step explanation:
Moving with a speed of v km/hour, a steam boat travels the distance between the
points A and B, which is 200 km, in t hours.
Find the formula which describes t as a function of v.
Answer:
t = 200/v
Step-by-step explanation:
The relationship between speed, distance, and time is ...
d = vt
Solving for t gives ...
t = d/v
For a distance of d=200 km, the time in hours will be ...
t = 200/v . . . . . . where v has units of km/hour
express secA in terms of tanA
Answer:
[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
Step-by-step explanation:
[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]
0.6 × 0.8 = ___ I need help with this question KNOW!!!!!!
ANSWER = 0.48
HOPE IT HELPS :)
Answer: 0.48
Step-by-step explanation:
6 x 8 = 48
we add those decimals back in which would be 0.48
Amelia needs to buy some dog food. At the nearest store ,5 bags of dog food cost 12.50 how much would Amelia spend on three bags
Answer:
$7.50
Step-by-step explanation:
the question can be represented with:
12.5/5 and x/3
12.5/5 is 2.5, so that means each bag of dog food is $2.5
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.
Answer:
Step-by-step explanation:
Remark
I take it you mean 5 and not 0.5.
If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.
Formula
Number of bags/Cost = new number of bags/Cost of the new number
Givens
original Number of bags = 5
Cost = 12.50
New number of bags = 3 bags
Cost = x
Solution
5/12.50 = 3/x Cross Multiply
5x = 12.50 * 3 Combine the right
5x = 37.5 Divide by 5
5x/5 = 37.5/5
x = 7.5
Answer: 3 bags cost 7.50 dollars.
Identify the vertex of this quadratic function
Answer:
Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.
Answer:
Your answer is -2,-3
Step-by-step explanation:
Question 1
What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?
−7
−3
4
6
Question 2
How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 3
)
Which of the following best describes the expression 7x + 2y?
The sum of two products; there are two terms
The product of two sums; there are two terms
The sum of two products; there are four terms
The product of two sums; there are four terms
Question 4
What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 5
Which of the following best describes the expression 6(y + 3)?
The product of two constant factors six and three plus a variable
The sum of two constant factors six and three plus a variable
The product of a constant factor of six and a factor with the sum of two terms
The sum of a constant factor of three and a factor with the product of two terms
Question 6
Which expression shows a sum of four terms?
4 + x + 4 + x
x4
4(x + 4)
4x
Answer:
for 1 is -3
Step-by-step explanation: