Answer:
7x^2*(x-4)*(x+6)
Step-by-step explanation:
7x^4 + 14x^3 - 168x^2
common factor 7x^2
7x^2*( x^2+2x-24)
now we factor ( x^2+2x-24)
(x-4)*(x+6)
Solution
7x^2*(x-4(*(x+6)
The factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
What is polynomial ?
The polynomial is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given polynomial as:
7x⁴ + 14x³ - 168x²
There is a common factor 7x²
7x²( x² + 2x - 24)
To determine the factor of ( x² + 2x - 24)
⇒ 7x²( x² + 2x - 24)
⇒ 7x²( x² + 6x - 4x -24)
⇒ 7x²[x(x+6) - 4(x+6)]
⇒ 7x²(x-4)(x+6)
Hence, the factorized form 7x²(x-4)(x+6) of the polynomial 7x⁴ + 14x³ - 168x².
Learn more about polynomial here:
brainly.com/question/13947055
#SPJ2
One ounce is approximately 28.3 grams. Write a direct variation equation that relates x ounces to y grams.
An equation is=
Answer:
15 oz
Step-by-step explanation:
Consider the functions f(x) = 2x + 10
Which statement is true?
Answer:
B
Step-by-step explanation:
It is linear and increasing.
If it is linear, it is increasing at a constant rate with a straight line.
Exponential means it is a curved line and would have an equation like f(x)=5^x
If it was decreasing, it would have a negative slope, such as -2x +10
The measure of L in triangle LMN is 38°. The measure of M is 80°. What is the measure of N? A. 62° B. 42° C. 118° D. 242°
Answer:
62
Step-by-step explanation:
The sum of the angles in a triangle add to 180
L + M + N= 180
38+ 80 + N = 180
118+ N = 180
N = 180-118
N = 62
Which of the following expressions is correctly written in scientific notation?
Answer:
The 3rd choice.
Step-by-step explanation:
The third choice has what it takes to be a scientific notation.
Plzzzz answer fast it’s for test find the unknown Angle measure
Answer:
x =180-(90+46)
=180-136
=44
Answer:
44°
Step-by-step explanation:
180-90-46=44
PLSSS HELPPPP PLS need this to pass !!
please help me ill give you 10 points
PLS HELP ME ANSWER AT LEAST ONE OF THESE QUESTIONS ASAP
What restrictions may be necessary to the domain and range of linear equations?
How can you write the linear function given 2 points?
What restrictions may be necessary to the domain and range of linear equations?
Answer:
1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.
2. ax2 + bx + c
Step-by-step explanation: Hope this helps :)
-16t^2 + 1237t - 33 pls help im short on time and need the answer
Answer:
1237t - 289
Step-by-step explanation:
¿ Cuál es la ecuación de la circunferencia que pasa por punto (-4,2) y
su diámetro es 8 ?
Porfaaaa
Answer:
(x+4)² + (y-k) ² = 16
Step-by-step explanation:
The equation of the circumference is expressed as;
(x-h) ² + (y-k) ² = r²
(h,k) is the centre
r is the radius
Given that diameter = 8
radius = 8/2
radius = 4units
Given that h = -4 and k = 2
(x-h) ² + (y-k) ² = r²
(x-(-4)) ² + (y-2) ² = 4²
(x+4)² + (y-k) ² = 16
This gives the required equation
PLEASE HELP (the number in the circle is 40m just in case you couldn’t see it)
Math test results are shown in the
box plot above. What percent of the
students scored below 70%?
Answer:
75%
Step-by-step explanation:
Each quartile is 25%; the answer asks for 70% and below, which is the first through third quartile.
You have a 3L jug and a 5L jug. You need to fill the 5L jug with exactly 4L of water. Write an algorithm to solve this problem. I will award Brainliest!
Fill the 3L jug, then pour its contents into the 5L jug.
Fill the 3L jug again, then pour as much of it (2L) as you can into the 5L jug.
Now the 5L jug is full, and the 3L jug is carrying 1L of water.
Empty the 5L jug.
Pour the 1L of water from the 3L jug to the 5L jug.
Finally, fill up the 3L jug, then transfer its water into the 5L jug. It now has 4L of water.
What are the domain and range of the function below?
Answer:
domain = 0 < x < infinity / range = y < 4
Step-by-step explanation:
Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
Answer:
[tex]y = (x - 3)^2 - 12[/tex]
[tex](3,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = x^2 - 6x - 3[/tex]
Solving (a): In vertex form
The vertex form of an equation is:
[tex]y = a(x - h)^2 + k[/tex]
To do this, we make use of completing the square method.
We have:
[tex]y = x^2 - 6x - 3[/tex]
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
[tex]y = x^2 - 6x - 3[/tex]
[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]
[tex]y = x^2 - 6x + 9 - 12[/tex]
Factorize [tex]x^2 - 6x + 9[/tex]
[tex]y = x^2 - 3x-3x + 9 - 12[/tex]
[tex]y = x(x - 3)-3(x - 3) - 12[/tex]
Factor out x - 3
[tex]y = (x - 3)(x - 3) - 12[/tex]
Express as squares
[tex]y = (x - 3)^2 - 12[/tex]
Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]
Solving (b): State the coordinates of the vertex.
In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)
The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]
find the distance,(-1,2)(4,1)
Answer:
2√2 I think
Step-by-step explanation:
can someone help me with this?
I need the first one ASAP!
Side AC corresponds to side
.
Angle BAC corresponds to angle
Answer:
???
Step-by-step explanation:
Where's the image?
Express the following division in the form of a + bi: (1+3i)(2+i)
Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang off by 1 foot all around the pool?
Answer:
531.167 ft²
Step-by-step explanation:
Given data
Dimension of pool
Diameter =24ft
Radius =12ft
If the cover must hang by 1ft around, then the diameter is 26ft
Radius =13ft
Area of cover = πr²
Substitute
Area = 3.142*13²
Area =3.143*169
Area =531.167 ft²
Hence the minimum area is 531.167 ft²
ILL GIVE BRAINLY PLEASE HELP
Answer:
hygiygtuvtyryfyrvvryfyvyvrvfyrvyvrvrvr.
Please help 50 point !!
Answer:
The last one
Step-by-step explanation:
[tex]x^3+1=0[/tex]
Subtract 1 from both sides
[tex]x^3+1-1=0-1[/tex]
simplify
[tex]x^3=-1[/tex]
[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]
[tex]x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}[/tex]
simplify
[tex]x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]
(That's basically the last one but in a different way of writing it)
Answer:
The last one
Step-by-step explanation:
Subtract 1 from both sides
simplify
simplify
What is the surface area of the triangular prism? *
2 poin
5 in.
5 in.
4 in
15 in.
A
6 in.
HELP PLS ASAP
How do I find the answer?
Answer:
ans is nothing
plz its is a jock
The quantities x and y are proportional find the constant of proportionality (r) in the equation y=rx 8 1.6 15 3 22 4.4
Answer:
r = 0.2
Step-by-step explanation:
Given
y = rx ( divide both sides by x )
[tex]\frac{y}{x}[/tex] = r
Use any of the ordered pairs from the table and substitute
Using (8, 1. 6 ) , then
r = [tex]\frac{1.6}{8}[/tex] = 0.2
In the triangle below, find the value of a/// Please help!
Answer:
a= 45
Step-by-step explanation:
all angles equal 180 degrees so you take the angle given which is 45 and the other which is a right angle, or 90 degrees and subtract 45 from 90 and you get 45 so a = 45 and you add up 45 + 45 + 90 thats 180!
The admission fee to an amusement park is $27.It cost an additional p dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusment park and each rent a locker is 64 how much does it cost for one person
Answer:
32
Step-by-step explanation:
If you are given two complementary angles with one angle measured at x + 10 degrees and the other angle measured at x - 30 degrees, what is the value of x?
Which greatest digit should replace n so that the number 342n84 is divisible by 3?
Answer:
9
Step-by-step explanation:
If you want the number to be divisible by three make sure the sum of all the numbers are divisible by three. Add all the numbers you have to see what they make.
3+4+2+8+4=21
So we just need to find the greatest number we can add to that to have it remain divisible by three. A number divisible by three is 30, and we can add 9 to 21 to make 30. Of course, there are other numbers we could add, but nine is the largest one-digit number that would work. Other smaller numbers include 3 and 6.
3+4+2+8+4+9=30
Now we check to see if our number is divisible by three
342984÷3 = 114328
114328 is a whole number so we know it's divisible.