Answer:
Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication.
Step-by-step explanation:
Factoring a polynomial is the reverse of multiplying two polynomials and involves reversing the distributive law, returning an expression to its original factors or multiples.
Factoring a polynomial reverses the process of multiplying two polynomials. When you factor a polynomial, you are essentially reversing the distributive law and turning an expression back into its factors or multiples. An expression is a mathematical phrase that can include numbers, variables (abbreviated as var), and the product or quotient of these, all separated by plus or minus signs. Factoring out common components helps to simplify an expression, just as using factors of ten can help to assess differences and cancel out units in algebra.
Factoring polynomials is a crucial part of algebraic manipulation, allowing us to find expressions that, when evaluated, produce the same value. This operation is important in solving equations and can also reveal interesting properties of numbers, especially within the complex number system. For example, second-order polynomials may have two roots and can be factored, such as x² + 1 which can be factored into (x - i)(x + i), where i is the imaginary unit.
Free brainliest and what is 21/7?
Answer:
if your dividing then 3 but if you want 21 sevenths as a mixed number then it would be 3.
Step-by-step explanation:
to find the quotient, you need to find out what multiplied by 7 gives you 21. (thats easy 3) so there is your answer. to find the mixed version of 21 sevenths you need to divide 21 by 7 ( literally what i just showed...) and you get 3.
HOPE THIS HELPS!!!
Answer:
That would be 3 because 7x3 is 21.
Step-by-step explanation:
PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!
Answer:
[tex]\large\boxed{y=\dfrac{1}{4}x^2-x-4}[/tex]
Step-by-step explanation:
The equation of a parabola in vertex form:
[tex]y=a(x-h)^2+k[/tex]
(h, k) - vertex
The focus is
[tex]\left(h,\ k+\dfrac{1}{4a}\right)[/tex]
We have the vertex (2, -5) and the focus (2, -4).
Calculate the value of a using [tex]k+\dfrac{1}{4a}[/tex]
k = -5
[tex]-5+\dfrac{1}{4a}=-4[/tex] add 5 to both sides
[tex]\dfrac{1}{4a}=1[/tex] multiply both sides by 4
[tex]4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4[/tex]
[tex]\dfrac{1}{a}=4\to a=\dfrac{1}{4}[/tex]
Substitute
[tex]a=\dfrac{1}{4},\ h=2,\ k=-5[/tex]
to the vertex form of an equation of a parabola:
[tex]y=\dfrac{1}{4}(x-2)^2-5[/tex]
The standard form:
[tex]y=ax^2+bx+c[/tex]
Convert using
[tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex]y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5[/tex]
use the distributive property: a(b+c)=ab+ac
[tex]y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4[/tex]
Answer:
yes
Step-by-step explanation:
billy was going to run 3/4 of thre trainjng course and jen was going rtn 1/2 of the course billy had finish 1/3 of the run while ken finish 1/2 of his run who run the farthest
Answer:
Therefore both Ken and Billy ran the same amount of the training course.
Step-by-step explanation:
i) Billy was going to [tex]\frac{3}{4}[/tex] th of the training course.
ii) Ken was going to run [tex]\dfrac{1}{2}[/tex] of the training course.
iii) Billy finished [tex]\frac{1}{3}[/tex] of his run Therefore Billy finished only [tex]\frac{1}{3} \times \frac{3}{4} = \frac{3}{12} = \frac{1}{4}[/tex] of the training course.
iv) Ken finished [tex]\dfrac{1}{2}[/tex] of his run Therefore Billy finished only [tex]\dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex] of the training course.
v) Therefore both Ken and Billy ran the same amount of the training course.
The volume of the box is cubic feet.
The solution is
Answer:
Volume= 3*4*6= 72 cubic feet
Step-by-step explanation:
Whenever finding volume of a simple rectangular prism like that one, simply multiply the Length of one side by the Height of the prism by the Width of the front face and you will get your solution. Length=6 ft, Height=3 ft, Width=4 ft. Hence, V=L*W*H or V=6*4*3=72 cubic feet.
Comparing each pair of triangles,what conclusion can be reached about the unequal sides or angles
Answer: Can you attach a copy of the triangles?
Step-by-step explanation:
find equation of a line through 5 -3 that is parallel to y=1/2x+3
Answer:
The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is
y = - 2 x + 7
Step-by-step explanation:
Let us assume the slope of the line whose equation we need to find is m 1.
The line parallel to the needed line is: y=1/2x+3
Comparing it with the general form: y = m x + C
we get m 2 = 1/2
Now, as Line 1 is Perpendicular to Line 2.
⇒ m 1 x m 2 = -1
⇒ m 1 x ( 1/2) = -1
⇒ m 1 = - 2
Also, the point son the line 1 is given as: (x,y) = (5,-3)
Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.
we get: -3 = (-2) (5) + C
or, C = -3 + 10 = 7
⇒ C = 7
The general line equation is given as: y = m x + C
Substituting the values of C and m, we get:
y = - 2 x + 7
Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is
y = - 2 x + 7
Find the distance between the points (1, 2) and (4,3).
ANSWER: Exact Form: [tex]\sqrt{10}[/tex]
Decimal Form: 3.16227766
STEP-BY-STEP EXPLANATION:
(1, 2) and (4,3)
Use the distance formula to determine the distance between the two points.
Distance = \sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }
Substitute the actual values of the points into the distance formula.
\sqrt{(4-1)^{2 }+ (3-2)^{2} }
The result can be shown in multiple forms.
Exact Form: [tex]\sqrt{10}[/tex]
Decimal Form: 3.16227766
The distance between the given points is approximately 3.16 units.
To find the distance between the points (1, 2) and (4, 3), we use the distance formula derived from the Pythagorean Theorem, which calculates the distance between two points in a coordinate plane. The distance formula is:
d = √((x₂ - x₁)² + (y₂ - y₁)²).
Using this formula, we plug in the coordinates of the two points:
Let (x₁, y₁) = (1, 2)
Let (x₂, y₂) = (4, 3)
Substituting these values into the formula gives us:
d = √((4 - 1)² + (3 - 2)²)
d = √(32 + 12)
d = √(9 + 1)
d = √10
d ≈ 3.16
Therefore, the distance between the two points is approximately 3.16 units.
Choose Yes or No to tell whether each expression is equivalent to –43p – 25.
Answer:
–43p + (–25) is EQUIVALENT to –43p – 25.
Step-by-step explanation:
The options are MISSING.
The needed options are:
1. 25 – 43p
2. 25 – 43p
3. –25p –43
4. –43p + (–25)
Now, here the given expression is: –43p – 25
Taking each option and simplifying it , we get:
1. 25 – 43p
Here, the second term is NEGATIVE, but the first term (25) is POSITIVE.
⇒ 25 – 43p ≠ –43p – 25
Hence, 25 – 43p is NOT EQUIVALENT.
2. 25 – 43p
Here, the second term is NEGATIVE, but the first term (25) is POSITIVE.
⇒ 25 – 43p ≠ –43p – 25
Hence, 25 – 43p is NOT EQUIVALENT.
3. –25p –43
Here, the variable p is multiplied with (-25) and NOT (-43).
⇒ –25p –43 ≠ –43p – 25
Hence, –25p –43 is NOT EQUIVALENT.
4. –43p + (–25)
Here, both the given terms (43) and (25) are NEGATIVE.
Also, the varibale p is multiplied with (-43)
⇒ –43p + (–25) = –43p – 25
Hence, –43p + (–25) is EQUIVALENT.
Answer:
no no no no
Step-by-step explanation:
what is the solution to this problem? NEED ASAP PLS
Answer:
18
Step-by-step explanation:
2(x - 5) + 4 = 30
2x - 10 + 4 = 30
2x - 6 = 30
2x = 36
x = 18
Answer:
18
Step-by-step explanation:
2(x-5)+4=30
2(x-5)=30-4
2(x-5)=26
x-5=26/2
x-5=13
x=13+5
x=18
Triangle PQR is a right triangle.
Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees.
Which equation could be used to find the measure of Angle Q?
180 = 3 x
180 = 3 x + 90
180 = 2 x + 90
90 = x + 2 x
Answer:
The answer 180=3x+90
Write 7y=3x-14 in standard form
Answer:
3x-7y=14
Step-by-step explanation:
7y=3x-14
3x-7y=14
Perform the indicated operation.
(7x3 + 11x2 + 4x + 9)-(-x3 + 6x2 + 2x+6)
(7x3 + 11x2 + 4x +9)-(-x3 + 6x2 + 2x+6)=
(Simplify your answer. Do not factor.)
[tex](7x^3 + 11x^2 + 4x + 9)-(-x^3 + 6x^2 + 2x+6) = 8x^3+5x^2+2x+3[/tex]
Solution:
Given that we have to perform the indicated operation
Given polynomial is:
[tex](7x^3 + 11x^2 + 4x + 9)-(-x^3 + 6x^2 + 2x+6)[/tex]
Polynomial addition\subtraction is similar to arithmetic addition\subtraction
Add\subtract the terms of coefficients with same variable with same exponent
For example: [tex]x^3 -2x^3 = -x^3[/tex]
To subtract Polynomials, first reverse the sign of each term we are subtracting
Which means, reverse the sign of each term in second bracket
[tex]\rightarrow (7x^3 + 11x^2 + 4x + 9)-(-x^3 + 6x^2 + 2x+6)\\\\\rightarrow (7x^3 + 11x^2 + 4x + 9)+x^3 - 6x^2 - 2x-6\\\\\text{Remove the parenthesis in first bracket }\\\\\rightarrow 7x^3 + 11x^2 + 4x + 9+x^3 - 6x^2 - 2x-6\\\\\text{Group the similar terms }\\\\\rightarrow 7x^3+x^3+11x^2-6x^2+4x-2x+9-6\\\\\text{Combine the similar terms }\\\\\rightarrow 8x^3+5x^2+2x+3[/tex]
Thus the given operation is performed
the perimeter of an equilateral triangle is given as 15x +21.find the greatest common factor
Step-by-step explanation:
15x + 21= 3 (5x + 7)
Therefore, greatest common factor is (5x + 7)
22% of a group of people voted in the last election. If 66 of the people voted, how many total people were there?
Answer:
300
Step-by-step explanation:
22% means 22 of 100
for every 100 persons 22 voted
for every x persons 66 voted.lets do the math to find what is the x
[tex] \frac{22}{100} = \frac{66}{x} [/tex]
[tex]x = \frac{66 \times 100}{22} [/tex]
x=300
Answer: 300
Step-by-step explanation:
we know that 22% is the same as 22/100 ( 22 over 100). We are trying to find the whole, which means we are already given the part which is 66. how can we get from 22 to 66? 22 multiples by 3 = 66 do the same to the bottom 100 multiplied by 3 is 300.
The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m.
Calculate the length of EF, one of the horizontal edges of the block.
Answer:
EF = 6m.
Step-by-step explanation:
Given that:
1) All the edges of the pyramid in the model have length 12m.
So, AB = 12m
2) E is the middle of AT, F is the middle of BT
So, EF is a line segment connecting the midpoints of ΔATB
So, by applying The Triangle Mid-segment Theorem
EF // AB and EF = 0.5 AB
So, EF = 0.5 AB = 0.5 * 12 = 6m
====================================
The Triangle Mid-segment Theorem:
The line segment connecting the midpoints of any two sides of a triangle has the following properties:
1) The line segment will be parallel to the third side.
2) The length of the line segment will be a half of the length of the third side.
5z+3-3z in equivalent expression
Answer:
2z +3
Step-by-step explanation:
This question simply involves understanding what like terms are, and how to combine them.
Here, 5z and -3z are like terms, so we combine them by going 5z-3z = 2z
(i.e. we minus the coefficients, but the z stays unchanged).
Next, the number term of 3 in the middle cannot be combined with any other term, so it just stays in the expression.
150% of $90.00 pls help
Answer:$135
Step-by-step explanation: you divide it and get that answer
Answer:
$135
Step-by-step explanation:
90×1.5= 135 Hope this helps
3a-b=-9 -3a-2b=0 solve by elimination
a = –2 and b = 3
Solution:
Given equations are
3a – b = –9 – – – – (1)
–3a – 2b = 0 – – – – (2)
To solve these equations by elimination method.
Elimination method means eliminating one variable to find the other variable.
Add equation (1) with equation (2), we get
3a – b + (–3a – 2b) = –9 + 0
⇒ 3a – b – 3a – 2b = –9
Combine like terms together.
⇒ 3a – 3a – b – 2b = –9
⇒ 0 – 3b = –9
⇒ – 3b = –9
Divide by (–3) on both sides, we get
⇒ b = 3
Substitute b = 3 in equation (1), we get
(1) ⇒ 3a – b = –9
⇒ 3a – 3 = –9
Add 3 on both sides of the equation,
⇒ 3a = –6
Divide 3 on both sides of the equation
⇒ a = –2
Hence, a = –2 and b = 3.
If f(x) = 5x + 40, what is f(x) when x
О-9
От
o15
.
Answer: x = -9, x = 115
Step-by-step explanation:
when x = -9 :
5(-9) + 40
-45 + 40
= -5
when x = 15
5(15) + 40
75 + 40
= 115
Answer:
X = -5, 40, 115
Step-by-step explanation:
when x = 0-9
5(0-9) + 40
-45 + 40
= -5
when x = 0T =0
5(0) + 40
0 + 40
= 40
when x = 015=15
5(15) + 40
75 + 40
= 115
1. What is Paul's net pay if he earns $4.30 for each hour worked, works 10 hours, and has payroll
deductions of 13%?
Answer:
37.41
Step-by-step explanation:
multiply 4.30 by 10 to get 43
then make it a decimal =0.43
after that multiply it by 13
0.43 times 13 = 5.59
subtract 5.59 from 43
(WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST) Directed line segment is graphed below. Plot point R on the graph so that it splits into segments with a ratio of 1:2.
Explain how you determined your answer
Answer:
(0 , -1)
Step-by-step explanation:
WR = 4 + 2 = 6
WS = 1/3 x WR = 2 .... the point of 1:2 of WR
S (-2 + 2 , -4) i.e. (0,4)
The same reason: RQ = 1/3 x RY = 1/3 x (5 + 4) = 3
Q (-4 , -4 + 3) i.e. (-4, -1)
QP // RW
p (0 , -1)
what is 0.06 divided by 0.5334
Answer: 0.112485
Step-by-step explanation: Look below for an attached explanation
Hope this helps!
To find 0.06 divided by 0.5334, multiply both numbers to convert them into whole numbers and then perform long division. The result of the division is approximately 0.1125.
Explanation:The question asks for the division of two decimal numbers, specifically 0.06 divided by 0.5334. To divide these decimals, you can use long division or a calculator. Here's how to divide them step-by-step using long division:
Multiply both numbers by a power of 10 to make the divisor a whole number. In this case, multiply by 10,000 to get 600 divided by 5334.Perform the division as you would with whole numbers. The quotient will be the same. So, 600 ÷ 5334 will give you an answer of approximately 0.1125.Since you multiplied by 10,000 to eliminate decimal places from the divisor, your answer is already in its proper decimal form.In this case, 0.06 divided by 0.5334 is approximately 0.1125.
This type of math problem is common in various science calculations, such as determining the concentration of a solution in chemistry or the rate of a reaction in physics.
Learn more about Decimal Division here:https://brainly.com/question/24697268
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My brother needs help with this question
What Shape has 12 sides and 12 angles?
Answer:
A dodecagon.
(-102.74) divided (-3)
Answer:
34.246
Just divide both numbers
Ms. Marigneaux's science class needs to
collect $68.00 for science materials for a class
project. In addition, the class will need
$100.00 to pay for an upcoming field trip. If
there are 29 students in the class, what is the
average amount each student must collect?
(Round to the nearest cent.)
If there are 29 students in class and they need to collect a total of 168, we can divide 168 by 29 to get $5.79. This means that each student must collect $5.79 in order for them to be able to purchase everything.
Which of the following is not represented in the image below?
Answer:
Answer is: C - hope it helps you!
Find the slope of the line that passes through the points (0,-3) and (4, 5).
Answer: 2
Step-by-step explanation:
to find this you use the equation
y2-y1
--------
x2-x1
so with your points tuat would be
5+3/4-0 (it becomes a plus bc two negatives= a positive
8/4=2
Solve the following compound inequality.
3x + 1 <-5 OR 5X-1 > 29
Answer:
3x + 1 <-5 is x<−2
5x-1> 29 is x>6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<−2
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x>6
Final answer:
To solve the compound inequality 3x + 1 < -5 OR 5x - 1 > 29, solve each inequality separately. The solution is all real numbers that are either less than -2 or greater than 6.
Explanation:
To solve the compound inequality 3x + 1 < -5 OR 5x - 1 > 29, we need to solve each inequality separately and then find the union of the two solutions, since the word 'OR' indicates that a solution to either inequality will satisfy the compound inequality.
Solving the first inequality:
3x + 1 < -5
Subtract 1 from both sides: 3x < -6Divide by 3: x < -2Solving the second inequality:
5x - 1 > 29
Add 1 to both sides: 5x > 30Divide by 5: x > 6The solution to the compound inequality is the set of all real numbers that are either less than -2 or greater than 6.
True or false: f(x) is a function.
A
2
f(x)
True, [tex]f(x)[/tex] is a function.
293.08 + 14 + 2.719 =
Answer:309.799
Step-by-step explanation:293.08
14.00 =309.799
+ 2.719