Select the correct answer.
What is the factored form of this expression?
433 – 8x2 – 9x + 18
--
-
A. (2x − 3)(2x - 3)(x - 2)
B. (2x + 3) (2x − 3)(x + 2)
C. (2x + 3)(2x + 3)(x - 2)
D. (2x + 3)(2x − 3)(x - 2)
Answer:
Option D
Step-by-step explanation:
Use Factoring Methods
[tex]4x^3-8x^2-9x+18\\[/tex]
put bracket around each 2 terms as such [tex](4x^3-8x^2)+(-9x+18)[/tex]
And then factor each respective bracket. We'll start with the first one
[tex](4x^3-8x^2) = 4x^2(x-2)[/tex]
Then do the other, and try to get similar brackets as the first
[tex](-9x+18)=-9(x-2)[/tex]
Since they are both simiar, the equation is now: [tex](4x^2-9)(x-2)[/tex]
Now factor the first bracket again for final result
[tex]4x^2-9=(2x-3)(2x+3)[/tex]
Ans when you put it all together, you get: [tex](2x-3)(2x+3)(x-2)[/tex]
Correct answer is option D
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Answer:
SSS, congruent.
Hope you could get an idea from here.
Doubt clarification - use comment section.
How do I add mixed numbers?
What is the volume of the irregular figure?
Answer:
the answer u r looking for is 144
Step-by-step explanation:
if u know who this is i will follow u
hint: its from avatar tla
only the first person that answers!!!
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answer:
-8
Step-by-step explanation:
Pluck in the values:
P = 3 + (-11)
P = 3 - 11 = -8
Evaluate the coefficient of x^5 and x^4 in the binomial expansion of (x/3-3)^7. Hence find the coefficient of x^5 in (x/3-3)^7(x-6)
Recall the binomial theorem:
[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
where [tex]\binom nk = \frac{n!}{k!(n-k)!}[/tex] is the binomial coefficient.
Take a = x/3, b = -3, and n = 7. Then we get the x⁵ and x⁴ terms when 7 - k = 5 and 7 - k = 4, respectively; or when k = 2 and k = 3.
[tex]k=2 \implies \dbinom 72 \left(\dfrac x3\right)^{7-2} (-3)^2 = 21 \cdot \dfrac{x^5}{243} \cdot 9 = \dfrac79 x^5[/tex]
[tex]k=3 \implies \dbinom 73 \left(\dfrac x3\right)^{7-3} (-3)^3 = 35 \cdot \dfrac{x^4}{81} \cdot (-27) = -\dfrac{35}3 x^4[/tex]
Then when multiplying this expansion by x - 6, we get an x⁵ terms from the products
[tex]\dfrac79 x^5 \cdot (-6)[/tex]
and
[tex]-\dfrac{35}3 x^4 \cdot x[/tex]
so that the x⁵ term in the overall expansion of (x/3 - 3)⁷ (x - 6) has a coefficient of
[tex]\dfrac79\cdot(-6) + \left(-\dfrac{35}3\right) \cdot 1 = \boxed{-\dfrac{49}3}[/tex]
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal 65.
What percent of the students chose Basketball?
Answer:
Yo…what’s the graph?
Step-by-step explanation:
Help help help help help math math
Step-by-step explanation:
again, a line cutting through 2 parallel lines must have the exact same angles with both of them. otherwise they would not be parallel.
therefore, both angles must be identical
3x + 2 = 2x + 6
x = 4
Which expression is equivalent to 1/4 (5x + 6)?
The expression which is equivalent to 1/4 (5x + 6) is; Choice A: {5(1/4)x} + {6(1/4)x}.
According to the question:
We are required to determine an expression which is equivalent to 1/4 (5x + 6).In a bid to expand the expression; we must multiply each term in the parenthesis by (1/4);
In essence; we have;
{5(1/4)x} + {6(1/4)x}Read more on multiplication;
https://brainly.com/question/847421
evaluate the following division: (3b-6a)÷(30a-15b)
Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.
INTRODUCTION~ Algebraic Forms and their Elements
Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.
Elements of Algebra:
1. Variables, Constants and Coefficients
Pay attention to the algebraic form 3x + 2y + 3
From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.
And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.
2. Terms and Factors
» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.
Example: 2x, 2a², -4xy, . . .
» Term two is an algebraic form that is connected by an operation of sum or difference.
Example: 2x + 3, a² - 4, 3x² - 4x, . . .
» Similar terms in algebraic form are terms that have the same variable and the same power.
Example:
2a is similar to 3a, 4a, etc.
» Factors are part of the algebraic form that is restricted to multiplication operations.
Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.
Calculation Operations on Algebraic Forms
1. Addition and subtraction of algebraic forms can only be done on similar terms.
2. Multiplication and division of algebraic forms.
Multiply two terms by constants or variables.
Example:
3 (4y + 5)
= (3 × 4y) + (3 × 5)
= 12y + 15
Division of two terms with a variable or constant, for example:
(8y+4)/2 = 8y/2 + 4/2 = 4y + 2
DISCUSSION(3b-6a)÷(30a-15b)
= (-6a + 3b) ÷ (-5(-6a+3b))
= (-6a+3b)/(-5(-6a+3b))
= -1/5
Conclusion:So, Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.
Learn More:(mampir ke indo:v)
Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780_____________
Answer Details:Class: 7 Middle School
Subject: Math
Material: Chapter 2.1 -Operations of Algebraic Forms
Categorization Code: 7.2.2.1
Keywords: Simple form of algebra
solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6
Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6
Find the future value of 1000 at 7 % interest compounded annually for 10 years.
Answer:
1967.15
Step-by-step explanation:
1000 x 1.07^10 = 1967.15
The future value of 1000 with annual compounding for 10 years is $1967.15.
The formula for calculating with annual compounding is:
FV = P (1 + r)^n
FV = Future value P = the amount deposited R = interest rate N = number of years1000 x (1.07)^10 = $1967.15
To learn more about future value, please check: https://brainly.com/question/18760477
help me please please
Answer:
alr yeah i get it now
Step-by-step explanation:
its A 11/14
Answer:
[tex]\frac{11}{14}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7}[/tex] + [tex]\frac{7}{14}[/tex]
Before adding er require the fractions to have the same denominators.
Multiply the numerator/ denominator of the first fraction by 2
= [tex]\frac{2(2)}{7(2)}[/tex] + [tex]\frac{7}{14}[/tex]
=[tex]\frac{4}{14}[/tex] + [tex]\frac{7}{14}[/tex] ( now add numerators leaving the common denominator )
= [tex]\frac{4+7}{14}[/tex]
= [tex]\frac{11}{14}[/tex]
Mr. Stansbury went grocery shopping on Tuesday and bought 4 pounds of oranges for $10.88. What is the unit price per ounce?
Answer:
0.68
Step-by-step explanation:
The solution to the following inequality:
-3(6-2g)>4g
Answer:
Solution: g > 9
Interval Notation: (9 , ∞)
Step-by-step explanation:
-3 * (6-2g) > 4g
-18 + 6g > 4g
6g - 4g > 18
2g > 18
g > 9
You visit two banks to determine their interest rates. Bank A offers you 6.2% annual
interest compounded monthly, and Bank B offers you 6.3% compounded quarterly.
Determine which bank is offering the best deal.
Answer:
6.3% quarterly
Step-by-step explanation:
The monthly compounded rate is equivalent to a quarterly compounded rate of ...
(1 +0.062/12)^3 -1 = 1.558%
The quarterly compounded rate is ...
6.3%/4 = 1.575%
The 6.3% rate compounded quarterly is the better deal.
_____
Additional comment
An annual rate r compounded n times per year for m compounding periods is equivalent to a rate of
(1 +r/n)^m -1 . . . per m/n of a year
Then an annual rate of r compounded 12 times per year for 3 months is equivalent to a quarterly (3/12 year = 1/4 year) of ...
(1 +r/12)^3 -1
__
An annual rate of r compounded 4 times per year for 1 quarter is equivalent to ...
(1 +r/4)^1 -1 = r/4
what is linear independent vector
How many cubes with side lengths of 1/3 does it take to fill the prism
Step-by-step explanation:
along the side with 1 cm we can fit 3 cubes, as 3×1/3 = 1.
along the side with 2 2/3 cm we can fit 8 cubes :
2 2/3 = 6/3 + 2/3 = 8/3.
and 8/3 / 1/3 = 8/3 × 3/1 = 3×8 / 3×1 = 8
and the height is 2/3 cm, so we can put 2 layers of cubes on top of each other.
so, we have
3 × 8 × 2 = 48
48 cubes are needed to fill the prism.
The median weight of 15 dogs in a pet store is 12 pounds. Which action could change the median?
Answer:
If there was another dog whose weight was greater than or less than 12.
Step-by-step explanation:
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 4
When we add 4 to the data set we have:
184 ÷ 16 = 11.5
This changed the median.
12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 28
When we add 28 to the data set we have:
208 ÷ 16 = 13
This also changed the median.
By adding dog of weight other than 12 pounds could change the median.
What is median?
The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
If we add the dog whose weight is more than 12 pounds, median will increase .
If we add the dog whose weight is less than 12 pounds, then median will decrease.
Hence, adding dog of weight other than 12 pounds could change the median.
Learn more about median here:
https://brainly.com/question/21396105?referrer=searchResults
#SPJ2
I NEED HELP!!!!!
4. Three bags of Skittles and two bags of M&M's
weigh 3 pounds. Four bags of Skittles weigh 3
pounds. All bags of skittles weigh the same, and
all bags of M&M's weigh the same. What is the
ratio of the weight of a bag of Skittles to a bag of
M&M's?
Answer:
Step-by-step explanation:
How many Skittles is in a 4 pound bag?
Fun-size packages are perfect for parties, party favors, trick-or-treaters, gift baskets, lunch treats and on-the-go snacks. Approximately 20 individual packs per lb.
...
Skittles Fun-Size Packs, 4-Lb Box.
Use the graph method to solve the system of Linear equations:
2x + y = 3 and x + y = 3
A) (-1.5, 0)
B) (0, -1.5)
C) (0,3)
D) (3, 0)
What is -3/4+2 3/4 O 3 1/2 O 3 3/4 O 2 1/2 O 2
Answer:
D. 2
Step-by-step explanation:
Common denominator is already presented which is 4.
-3/4 and 3/4 cancel each other out.
you can also convert to decimal form -3/4 + 2 3/4 is the same as:
-0.75 + 2.75 = 2.
HELPPPP PLEASEEEEE
Multiply and write in standard form:
(2x)(x^2 - 6x + 3)
Show all work for full credit.
2x(x2-6x+3)
4x^3-12x^2+6x
Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.
Answer:
b=14
Step-by-step explanation:
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
5b=b+56
4b=56
b=14
In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:
[tex]b=14[/tex]
What is a parallel line?They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.
With this information we can solve this exercise as:
[tex]5b=b+56\\4b=56\\b=14[/tex]
See more about parallel lines at brainly.com/question/16701300
Which of the following integers is less than -23?
a) o
b) -13
c) 13
d) -25
Answer:
i think d) -25 is answer
Step-by-step explanation:
good luck
Answer:
d) -25
Step-by-step explanation:
Because -25 is less than -23 . as it is negative integers
if the poins A(-6,-5),B(-3,-2) and C(3,k) is on the same straight line, find the value of k.
Answer:
4
Step-by-step explanation:
y = x + 1
yeah-ya.... right?
Answer:
4 is the answer i believe
Step-by-step explanation:
C skips 2 dots, Hope this helps:)
Which graph shows a linear equation?
Answer:
The bottom right is a linear equation.
Step-by-step explanation:
Answer:
right side down one
Step-by-step explanation:
as you know linear means supplementary having 180 °
find the area enclosed by the figure
Answer:
2677 mi^2
Step-by-step explanation:
Think the shape as an complete rectangle :
The area of the rectangle is calcluated by multiplying height*width
(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:
12*29 = 348 mi^2 the area of the figure:
3025 - 348 = 2677 mi^2
Please answer the file question.
Answer:
WT = 63
Step-by-step explanation:
Given Δ SDE is similar to Δ SWT then the ratio of corresponding sides are in proportion, that is
[tex]\frac{WT}{DE}[/tex] = [tex]\frac{ST}{SE}[/tex] , substitute values
[tex]\frac{5x+3}{56}[/tex] = [tex]\frac{4x-3}{40}[/tex] ( cross- multiply )
56(4x - 3) = 40(5x + 3) ← distribute parenthesis on both sides
224x - 168 = 200x + 120 ( subtract 200x from both sides )
24x - 168 = 120 ( add 168 to both sides )
24x = 288 ( divide both sides by 24 )
x = 12
Then
WT = 5x + 3 = 5(12) + 3 = 60 + 3 = 63