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?
Need help. Sorry if the pic quality is bad…
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
What are the common factors of 45 and 272
O A 1,36.9.15
0
B. 1.39
C 1.3.9.15
D. 1,3,5,9
Answer:
Step-by-step explanation:
they are prime to eachother.
There is only one common factor .i.e.,1
45=1×3×3×5
272=1×2×2×2×2×17
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
the area of a rectangle and square are same . if area of the square is 900 cm² and length of the rectangle is 45cm find the perimeter of the rectangle.
Answer: 130cm
Let's think the width of the rectangle as, "x"
45*x= 900
x= 900/45
x= 20
45+45+20+20
= 130cm
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
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
Select the fraction equivalent to 0.1¯
its not 1/10
1/1
B 1/9
C 1/11
please explain why
Answer:
its 1/10
Step-by-step explanation:
You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.
Help me with writing a check please
Answer: pay to the order of: Price Chopper.... $145.19.... next line: One hundred forty-five and 19/100.... bottom left line: whatever the money is for.... next line: signature. 5. fifty-four and 68/100 dollars 6. One hundred seventeen and 92/100 dollars 7. twenty dollars
Step-by-step explanation:
For the following problem, y varies directly as x If y = 34 when x = 4 , find y when x is 3.
Answer:
Step-by-step explanation: plug in 3 for X and then solve
Give me 5 stars
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
find the value of X in the following figures
Answer: 70
Step-by-step explanation:
Diagonals of a rhombus bisect each other at right angles, so
[tex]x+20=90\\\\x=\boxed{70}[/tex]
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
2 + 2 = 3
prove me wrong
Answer:
2+2=4................
Answer:
you are wrong because 2+2=4
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
HELPPPP PLEASEEEEE
what is linear independent vector
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:)
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
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:
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 °
Order the following fractions from least to greatest: 11/5, 6/5, 1/5
Answer: 1/5, 6/5, 11/5.
Step-by-step explanation:
1/5 is the smallest, as it isnt even 1 whole! (5/5)
6/5 = 1 1/5.
11/5 = 2 1/5, so its the greatest
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
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]
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.
If a shirt for RS 18 is marked up to RS 20 then the percentage increase is equal to
Answer:
11.1%
Step-by-step explanation:
Increase = 20 - 18
= 2
% increase= increase/initial price × 100
= 2/18 × 100
11.1%
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.