Answer:
B
Step-by-step explanation:
edg 2020
The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the polynomial function:
⇒ x³ + 2x² - 3x -6
Simplify the radical by breaking the radicand up into a product of known factors.
⇒ x³ + 2x² - 3x -6
Add and subtract the second term to the expression and factor by grouping.
⇒ x²(x + 2) - 3(x + 2)
⇒ (x + 2)(x² - 3)
⇒ (x + 2)(x +√3)(x-√3)
Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).
Learn more about the polynomials here:
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The question seems to be incomplete the correct question would be
If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)
The polynomial function f(x) = ____.
If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?
Answer:
$1101
Step-by-step explanation:
Given data
A= $1,172.60
R= 3.2 = 0.032
t= 2
The expression for compound interest is
A= P(1+r)^t
Substitute
1172.60=P(1+0.032)^2
1172.60=P(1.032)^2
1172.60=P1.065
Divide both sides by 1.065
1172.60/1.065= P
P=$1101
Hence the original amount is $1101
Please help!!!!!
(50 points)
Answer:Hope this helps
Step-by-step explanation:
I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Find the 5th term in the sequence described by 3n - 2. (1 point)
O 13
O 17
07
0-13
Answer:
It's 13
Step-by-step explanation:
the fifth term is n. do 3*5=15 and then subtract 2 to get 13!
21 miles equal how many feet
Answer:
110, 880 feet
Step-by-step explanation:
5,280 feet in one mile x 21 miles
Answer:
110, 880 feet
Step-by-step explanation:
isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect
Answer:
103 dimes and 108 quarters
Step-by-step explanation:
Given
[tex]Value = \$37.30[/tex]
[tex]Amount = 211[/tex]
Required
Determine the number of each coin collected
Represent dimes with D and quarters with Q.
[tex]1\ D= \$0.10[/tex]
[tex]1\ Q= \$0.25[/tex]
So:
[tex]0.10D + 0.25Q = 37.30[/tex] --- Value
[tex]D + Q = 211[/tex] --- Amount
Make D the subject in [tex]D + Q = 211[/tex]
[tex]D = 211 - Q[/tex]
Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]
[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]
Open brackets
[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]
Collect Like Terms
[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]
[tex]0.15Q = 16.2[/tex]
Make Q the subject
[tex]Q = 16.2/0.15[/tex]
[tex]Q = 108[/tex]
Substitute 108 for Q in [tex]D = 211 - Q[/tex]
[tex]D = 211 - 108[/tex]
[tex]D = 103[/tex]
2) An $80 text book was on sale for $49.60 at the used book store. By what percent did the book decrease in price?
The answer fam is......... 38%
Answer: 38%
Step-by-step explanation:
80x0.62=49.60
Given that V, W, and X are the midp oints of ASTU, what is the relationship between TX and XU?
A 2TX = XU
B. TX = 1/2XU
C. TX || XU
D. TX=XU
Please select the best answer from the choices provided
Answer:
the answer is D
Step-by-step explanation:
got it right on edg
From a distance of 43 feet from the base of a building the angle of elevation to the top of the
building is 64º. Estimate the height of the building to the nearest foot.
A) 21 feet
B) 39 feet
C) 88 feet
D) 19 feet
Answer: B 39 ft I think
Step-by-step explanation:
Help! Please Help lol
16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is
Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
|-3/4+1/8|- (2/3+1/6)
Answer:
-5/24
Step-by-step explanation:
-3/4 = -6/8
-6/8 + 1/8 = -5/8
|-5/8| = 5/8
2/3 = 4/6
4/6 + 1/6 = 5/6
5/8 - 5/6 = 15/24 - 20/24
15/24 + (-20/24) = -5/24
Find the two solutions to the equation below.
(x – 3)(x − 2) = 0
Anyone know how to do it
Answer:
You have two brackets..divide them as
x-3=0 and x-2=0
so x=3, x=2
The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.
To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.
Setting ( x – 3 ) = 0:
x – 3 = 0
x = 3
Setting ( x − 2 ) = 0:
x − 2 = 0
x = 2
Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.
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Witch describes the slope of this line?
undefined
zero slope
negative slope
positive slope
Answer:
Undefined
Step-by-step explanation:
Two geometric means are inserted between 6 and 384 so the four numbers form a geometric sequence. What are these two numbers?
Hint: an = a1 ( 0-1, where a, is the first term and r is the common ratio.
A. -24,96
B. -24, -96
C. 24,96
D. 22, 108
Answer:
A
Step-by-step explanation:
idc
2^3 - (12 divide 6) + 8
Three of the vertices of square ABCD are located at A(0,3), B(4,0), and C(7,4).
Determine the area of square ABCD.
Answer:
The area of the square ABCD is 25 square units
Step-by-step explanation:
The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.
The area of the square is
[tex]A = a^2[/tex]
Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):
[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]
[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]
a = 5
Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:
[tex]A = 5^2 = 25[/tex]
The area of the square ABCD is 25 square units
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?
Answer:
170 peanuts I believe
Step-by-step explanation:
just did mental math, not sure if it's the right way
(4x-20)° what is the value of x
Answer: 4(x−5)
Step-by-step explanation:
I think this is right. If it’s not Im sorry. But if it is hope this helps!
Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ
The question is incomplete. Here is the complete question.
Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?
A. [tex]2+12\sqrt{2}[/tex] units
B. [tex]7+2\sqrt{2}[/tex] units
C. [tex]10+4\sqrt{2}[/tex] units
D. [tex]12+2\sqrt{2}[/tex] units
E. [tex]12+4\sqrt{2}[/tex] units
Answer: E. [tex]12+4\sqrt{2}[/tex] units
Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.
The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.
Distance of two points is calculated as
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Segment MN:
Coordinates: M (2,4) and N (5,8)
[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment ML:
Coordinates: M (2,4) and L (4,2)
[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment NP:
Coordinates: N (5,8) and P (8,4)
[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment PQ:
Coordinates: P (8,4) and Q (6,2)
[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment LQ:
Coordinates: L (4,2) and Q (6,2)
[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]
d = 2
Calculating perimeter (P):
P = MN + ML + NP + PQ + LQ
P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]
P = [tex]12+4\sqrt{2}[/tex]
Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units
The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?
Answer:
The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
Step-by-step explanation:
Given;
number of bagels in 2 hours = 310 bagels
The rate per hour is calculated as;
[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]
In 20 hours, the number of bagels made is calculated as;
Number of bagels = 155 (bagels/hour) x 20 (hour)
= 3100 bagels.
Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.
What is the absolute value I15I
Answer:
its 15
Step-by-step explanation:
11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare
Answer:
C. 786,000 hectare
Step-by-step explanation:
This question can be solved by proportions, using conversion of units.
Each hectare has 10 000 square meters.
So 7,860 square meters is equal to:
7,860*10000 = 786,000 hectares
The answer is given by option C.
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
Answer:
(6x^(3)+11x^(2)-19x+5)-:-(3x-2)
Step-by-step explanation:[tex]63+112+32+1[/tex]
for some reason it showed that but yeah hope this helps!
1). Solve for n n + 46 = 67
Help helps please help
Answer:
n=21
Step-by-step explanation:
Subtract 46 from both sides.
n+46−46=67−46
n=21
Answer:
n=21
Step-by-step explanation:
46-67=21
21=n
So the answer is 21.
What is the right answer for the ordered pairs?
Answer:
D. (2, -3) and E. (4,-1)
Step-by-step explanation:
In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).
Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)
what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)
Answer:
y=5/3x+5
Step-by-step explanation:
change slope in equation given to the negative reciprocal since the line is perpendicular:
-3/5 to 5/3
put values into point slope form y-y1=m(x-x1)
y1 = y in the point given, which is 25
m = slope, which is 5/3
x1 = x in point given, which is 12
y-25=5/3(x-12)
then solve for slope intercept form y=mx+b to get
y=5/3x+5
5
Explain
why 36% is
less than 3/8
What is the square root of nine
Answer: the square root of 9 is 3.
