The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.
Check all the options in order to determine the given polynomial is prime or not.
A) [tex]x^4+3x^2-x^2-3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
B) [tex]x^4-3x^2-x^2+3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
C) [tex]3x^2+x-6x-2[/tex]
Now, try to factorize the above polynomial.
[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
D) [tex]3x^2+x-6x+3[/tex]
The given polynomial is not factorized further therefore, this polynomial is is a prime.
For more information, refer to the link given below:
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Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.
Answer:
24.2% decrease
Step-by-step explanation:
The distance Javi must ride changed by ...
1.25 -1.65 = -0.40 . . . miles
The ratio of that to the original distance is ...
-0.40/1.65 × 100% ≈ -24.2%
The distance decreased by 24.2%.
the length of 2x metres and it's width is 2 metres shorter than its length. what is the area of the rectangle
Answer:
4x^2-4x
Step-by-step explanation:
2x*(2x-2)
(2x)(2x)+(2x)(−2)
[tex]4x^2-4x[/tex]
Hope this helped! :)
You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.
It should be noted that the excess reserves can increase the firm's value and the shareholders value.
Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.
In conclusion, the excess reserves can be used in generating further income for the company.
Learn more about dividend on:
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What inequality is represented by this graph?
O X > 6 O X _< 6 O X<6 OX_>6
last option in the picture
What function equation is represented by the graph?
Answer:
f(x) = (2/3)x-2
Step-by-step explanation:
Pick any two points and calculate the slope. I chose: (-3,-4) and (3,0). The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6: 2/3
The y-intercept of the graph is -2 ( the value of y when x=0).
Given y = mx + b
we have
y = (2/3)x - 2
Option 3
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
Answer:
-15-5Step-by-step explanation:
What is the value of the expression Negative 225 divided b (negative 15)?
What is the value of the expression 30 divided by (negative 6)?
I answer for what I understand
-225 : 15 = - 15
30 : (- 6 ) = -5
find the equation of the line with slope of 2 passing through (3,1)
Answer:
y = 2x - 5
Step-by-step explanation:
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Answer:
what grade are you??..........
Simply using quadratic formula! Brainliest will be awarded if correct
Answer:
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
Step-by-step explanation:
5y + 12 = [tex]\frac{-8}{y}[/tex]
y*(5y+12)=-8
5[tex]y^{2}[/tex] + 12y = -8
5[tex]y^{2}[/tex] + 12y + 8 = 0
Δ(Delta) = [tex]b^{2}[/tex] - 4ac
= [tex]12^{2}[/tex] - 4*5*8
= -16
Δ<0
therefore we have complex number
y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
Determine which have two variables that represent a proportional relationship. Explain your reasoning
Answer:
Step-by-step explanation:
Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx. the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not
Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 9 + 3i, z2 = −9 + 3i
Answer:
See image
Step-by-step explanation:
These are "complex numbers" because they have the imaginary number, i, in the expression.
The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply
(x+2)(x+5)
= x^2 + 7x + 10
This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)
**SUPER IMPORTANT NOTE: i^2 is equal to -1
These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.
my Christmas present to you
Answer:
super man
Step-by-step explanation:
Solve.
x2=−0.73
What is the solution to the equation?
Enter your answer as a decimal in the box.
x =
x = -0.365 (If its x(2)=-0.73)
How I solved it:
x^2=-0.73
-0.73÷2=-0.365
//
-0.365×2=-0.73
Therefore, the answer is -0.365.
Answer:
x = -1.46 (if its x/2=-0.73)
x/2=-0.73
-0.73x2=-1.46
therefore,
-1.46/2=-0.73
///
making the answer
-1.46
Which of the following sequences of transformations maps \triangle DEF onto \triangle ABC?
Answer:
D because then triangles DEF and ABC would mapped onto one another.
Step-by-step explanation:
d) Neither
Use long division to find the quotient below. (8x^3-10x^2-19x-15)/(2x-5)
Answer:
4x2 + 5x + 3
Step-by-step explanation:
FLOORING Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
A I think yup it's A good luck
Step-by-step explanation:
Miguel is putting hardwood flooring in a hallway that measures 4 feet by 17 feet. The wood he has chosen is $5.48 per square foot
What is the range of the actual cost of putting the flooring in the hallway?
OA) $316.47 and $372.64
OB) $372.64 and $431.55
O C) $362.64 and $382.64
OD) $316.47 and $431.55
Can someone plss help me with this!!!
Answer:
10/1 or 10
Step-by-step ex planation:
The rate of change is just a fancy word for slope!
To find the slope of this line I found two points of the graph that were easy to determine. Slope = rise/run
which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning from my mistakes:)
Find the common diffrence
2)23,21,19.17
Answer:
goes down by 2 ?
Step-by-step explanation:
23-2=21
21-2=19
19-2=17
17-2=15
100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
Answer: $140
Step-by-step explanation:
Convert
1 1/4 --> 1.25
Solve
100/1.25= 80
80*1.75= $140
find the side of square whose perimeter. is 24.8cm.
Answer:
6.2
Step-by-step explanation:
Help me pls imma fail
Answer:
-
Step-by-step explanation:
Given the function f(x) = x2 - x + 7, find each of the following.
f(6)=
f(- 9)=
f(0)
Answer:
37, 79, 7
Step-by-step explanation:
f(6) = 6² -6 +7
36-6+7 is 37
f(-9) = -9² -9+7
81-9+7 is 79
f(0) = 0² -0+7
0-0+7 is 7
please help me with math
Hi there! :)
5-2b when b=-1; 3.
5-2(-1)
5+2
7
5-2(3)
5-6
-1
3(x+8)
3x+24
Hope it helps!
~Answer given by
An Unknown Dreamer
Good luck.
if ur good at math, pls help. will get brainliest
Answer: y = -x - 3
Using the parent function/formula y = mx +b, you can use the slope formula [tex]\frac{x_{2}-x_1 }{y_2-y_1}[/tex] to determine that the slope is negative. Then, using the answer to the slope equation (m), you can use 2 points from the table to solve the equation for b. Then just write the equation using y, x, value of m, and value of b.
Hey y’all,please help me :)
Answer:
-c-4≥8
Step-by-step explanation:
Just ask!
Hope this helps. :)
Solve the following system of equations.
2x + y=3
x=2y-1
Make sure there are NO SPACES in your answer. Include a comma in your answer.
ANSWER: {(
)}
Answer:
x=1,y=1
Step-by-step explanation:
For this problem, we can use the substitution method. Since we know that x is equal to 2y-1, we can rewrite the first equation as 2(2y-1)+y=3. Now solving we get:
4y-2+y=3
5y-2=3
5y=5
y=1
Now we can plug in 1 for y in the second equation and get:
x=2(1)-1
x=1
This means that x=1, and y=1
please help asap!!!!
Answer:
justin biberis black
Step-by-step explanation:
What will be the result when each term sin2theta+cos2theta =1 is divided by sin2theta
Answer: Did you copy and paste this because this just hits different. message me if i misunderstood this.
Step-by-step explanation:
Brendan says that the negative of - 1/3
is 3 because they are on opposite sides of zero when they are plotted on the number line.
Is Brendan correct? Explain your answer.
Answer:
No! Brendan has totally got the wrong idea.
Step-by-step explanation:
Numbers on the right hand side of zero are said to be positive, while, the numbers on the opposite side are said to be negative.
That means Brendan's correct in saying that -1/3 lies on the opposite side of 3, since negative numbers lie on the opposite side of the positives.
But,
Negative "of" a number is the same number with opposite sign.
That is, if a number is 3 units away from the zero, it's negative will also be 3 units away from zero, but on the opposite side.
-1/3 and 3 do not lie at the same distance from zero.
-1/3 would be approached before -1 by walking in the negative direction whereas 3 would be approached after 1.
Therefore, Brendan is wrong as the negative of a number has opposite sign but same "magnitude".
Write the following equation in standard form:`X^{2}+6X=-2`
Answer:
[tex]x^2 +6x +2=0[/tex]
Step-by-step explanation: