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.
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Evaluate the expression please.
Evaluate the expression.
–
3–
–
10÷
–
2+1
Answer:
-7
Step-by-step explanation:
-3-(-10)/-2+1
-3-5+1
-8+1
-7
Answer:
Step-by-step explanation:
Expert-Verified Answer
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jayilych4real
Some useful tips to help you write a five-paragraph essay are:
Choose a topic
Make suitable claims
Make use of supporting details
Make use of rhetorical appeals
Make use of counterclaims and rebuttals
Restate your main points
Conclude.
Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2
Answer:
the 3rd one is not linear
y= x to the 2nd power
The following thermometer indicates the temperature in degree centigrade at 6:00 am. If the temperature increases one degree every 30 minutes. At what time the temperature will reach 20 degrees ?
A 7:15
B 7:30
C 7:45
D 8:00
Answer:
i think (C)
Step-by-step explanation:
hope this helps you
the smith family traveled 140 miles from winston salem to asheville they stopped at one rest area the diagram below shows their trip divide into equal segments
Answer:140 because you have to divided by 1
Step-by-step explanation:
6√21 ×√28
please show work :D
Answer:
84√3
Step-by-step explanation:
6√21√28
6√7√3√7√4
(6√7√3√7)(2)
(6*7)(√3)(2)
(42)(√3)(2)
84√3
[tex]6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}[/tex]
Given the function below find f(-2).
f(x)=x2−3x+5
Group of answer choices
10
15
20
25
PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4
See in picture below
Answer:
See below
Step-by-step explanation:
As x approaches negative infinity, h(x) approaches negative infinity
As x approaches positive infinity, h(x) approaches negative infinity
I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.
What is the length of side a?
[tex]\huge \bf༆ Answer ༄[/tex]
According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)
So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)
Now, let's solve ~
[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex][tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex][tex] \sf16 + 9 = {a}^{2} [/tex][tex] \sf \: a {}^{2} = 25[/tex][tex] \sf \: a = \sqrt{25} [/tex][tex] \sf \: a = 5 \: units[/tex]Therefore, Length of side a is 5 units ~
I NEED ANSWER NOW PLEASE TELL ME THE ANSWER AND HOW YOU GOT IT I WILL MARK U AS BRAINLIEST IT DUE IN 5 MINS
(GIVE ME ALL THE ANSWERS)
Answer:
1 is 42,256 =
3 × 105
+ 0 × 104
+ 5 × 103
+ 4 × 102
+ 4 × 101
+ 4 × 100
2 is
4 × 104
+ 2 × 103
+ 2 × 102
+ 5 × 101
+ 6 × 100
3 is 9,905,482 =
9 × 106
+ 9 × 105
+ 0 × 104
+ 5 × 103
+ 4 × 102
+ 8 × 101
+ 2 × 100
Step-by-step explanation:
is this a dilation of 1/2 or a dilation of 2
Answer:
The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP
help stranger's ( ◜‿◝ )
Answer:
what is the question in this picture
What is the value of the expression below?
(3 1/2 - 9 3/4) ÷ (-2.5)
Answer:
2.5
Step-by-step explanation:
3 1/2 - 9 3/4 =
3 2/4 - 9 3/4 = -6 1/4
-6 1/4 = -6.25 ÷ (-2.5) = 2.5
Select the correct answer. Evaluate the following expression when x = -4 and y = 4. A. B. C. D.
The value of given expression when x=-4 and y=4 is 1250.
The expression is missing in the question which is [tex]\dfrac{x^6-x}{4y}[/tex].
We have to solve it for x= -4 and y = 4.
Now putting the value of x and y we get,
[tex]\dfrac{x^6-x}{4y}=\dfrac{(-4)^6-(-4)}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=\dfrac{4096+4}{4}[/tex]
[tex]\dfrac{x^6-x}{4y}=1250[/tex]
Hence the value of given expression when x=-4 and y=4 is 1250.
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Work out the surface area of this solid prism.
25cm
17cm
15cm
30cm
28cm
The diagram is not drawn to scale.
PLS HELPPP IM DYING
Answer:
2520cm²
Step-by-step explanation:
Surface area = sum of the area of all the bases.
Area of bottom base = 28 * 30 = 840
Area of right base = 25 * 30 = 750
Area of left base = 17 * 30 = 510
Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420
Then add all the areas together to find surface area
Surface area = 840 + 750 + 510 + 420 = 2520cm²
Relevant Formulas:
Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base
Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.
$20, $15,$10,$5. What is the range of allowance amounts?
Answer:
$15
Step-by-step explanation:
20-5= 15
Answer: The range is 15 because 20 is the highest and 5 is the lowest and when you subtract them you get 15.
Hope this helps :)
HELP THIS IS DUE TODAY!!!!!!!!
Answer:
the loop is going by 4
Step-by-step explanation:
the equation of the line which passes through the point (0,5) and has a gradient of 4 is
Answer:
y = 4x + 5
Step-by-step explanation:
slope = m = 4
y-intercept = b = 5
y = mx + b
y = 4x + 5
HELP!!!!!
M
list the sides of ABC in order from shortest to longest
M list the sides of ABC in order from shortest to longest
Answer:Sum of angles in a triangle = 180
Angles A + B + C = 180
80 + 3x + 5 + 5x - 1 = 180
3x + 5x = 180 - 80 - 5+1
8x = 96
x = 96/8
x = 12
So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59
Angle A = 80, B = 41, C = 59
So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.
So from the smallest to biggest side:
AC < AB < BC
Arigatou gozaimasu!!
16 liters to fraction
Answer:
16 liters to a fraction would be 4.2 or 4 1/5
Step-by-step explanation:
16 liters = 4.22675 gallons
4.2 gallons = 4 1/5 gallons
1000 L= 1 KL
16 L = 0.016 KL
(Divide 16 by 1000 to convert.)
Hemp help help math
Answer:
1
Step-by-step explanation:
f(x) = y
that expression asks what y is when x = -2.
you can solve this by plugging in -2 for x in the function.
f(-2) = 3(-2) + 7
f(-2) = -6 + 7
f(-2) = 1
Answer:
1
Step-by-step explanation:
Plug in -2.f(x) = -6+7f(x) = 1. Hope it helps
please help me asapppp
ty :D
Answer:
3x+5y-20
have a nice day
What forms of the following equation in?
y=5x−3
what does 2y-x=-14 equal?
Answer:
x=2(y+7)
Step-by-step explanation:
2y−x=−14
Subtract 2y from both sides.
−x=−14−2y
The equation is in standard form.
−x=−2y−14
Divide both sides by −1.
x=2y+14
Then use the inverse property of distrubtion.
x=2(y+7)
or if you want to you can leave it as x=2y+14
Answer:
y=x/2-7
Step-by-step explanation:
Move x to the side with the constant and then divide.
1. -x from both sides
2. the divide by 2
it can also be written like
y=1/2x-7
Dustin looks around at an assembly. He notices his younger sister to his right and his older brother 4.1 feet ahead of him. If Dustin's brother and sister are 8.8 feet apart, how far apart are Dustin and his younger sister? If necessary, round to the nearest tenth.
Answer:
So the answer would probably be 4.8 feet?
Step-by-step explanation:
the sum of two numbers is 30. the difference one the two numbers is 4
Answer:
20+10 is 30 5x6 is 30
Step-by-step explanation:
so just add numbers to find 30
Answer:
first number is 17 and second number is 13
Step-by-step explanation:
let the numbers are x and y
if their sum is 30 and difference is 4
then
x+y=30 --------------1equation
x-y=4 -----------2equation
add both the equations,
2x=34
x=17
then
put the value of x in 1equation,
x+y=30
17+y=30
y=30-17
y=13
then,
first number is 17 and second number is 13
8x - 60 less than or equal to 2 (5 - 3x)
Answer:
x less than or equal to 5
i think thats what u wanted
4.69 divided by 3.5 please help
Answer:
1.34
Step-by-step explanation:
Used a Calculator
Answer:
1.34
Step-by-step explanation:
4.69/3.5
=1.34
Here is your answerPlz mark me as brainliest7 is a factor of
a 28
b 16
c 11
d 4
Answer:
a) 28
Step-by-step explanation:
3x - y = 23
2x + 3y = 8
Answer: x = 11
Step-by-step explanation:
You didn't state what you needed for these problems so I'm going to assume you need to solve for X.
1st Equation:
3x - y = 23 --> y = 3x - 23
2nd Equation:
2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3
Set Equations = to Each other
3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23
9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3
7x/3 X 3/7 = 77/3 X 3/7
x = 11
If you need to solve for y as well plug the x value back into the original equation and solve.