Factors of a polynomial together constitute the polynomial by multiplication. The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex]
The given polynomial is [tex]12c^9 + 28c^7[/tex]
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
[tex]12 = 4 \times 3 \\28 = 4 \times 7[/tex]
Thus, the given polynomial is factored as:
[tex]12c^9 + 28c^7 = 4 \times 3 \times c^7 \times c^2 + 4 \times 7 \times c^7 = 4c^7(3c^2 + 7)[/tex]
Thus,
The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]
Learn more about factors of a polynomial here:
https://brainly.com/question/16078564
Answer:
Factors of a polynomial together constitute the polynomial by multiplication. The factored form of is
What is distributive property of multiplication over addition?
Suppose a, b and c are three numbers. Then we have:
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in
The given polynomial is
To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:
Thus, the given polynomial is factored as:
Thus,
The factored form of is
Learn more about factors of a polynomial here:
brainly.com/question/16078564
Step-by-step explanation:
Brainliest for correct answer !!
Find h^-1 (x)
Answer:
[tex]\frac{3x + 1}{5}[/tex]
Step-by-step explanation:
y = [tex]\frac{5x-1}{3}[/tex]
make x the subject
3y = 5x - 1
3y + 1 = 5x
[tex]\frac{3y + 1}{5}[/tex] = x
now switch x with y
so,
[tex]\frac{3x + 1}{5}[/tex] (ans)
Fill in the blank with the correct term or number to complete the sentence : a fraction is written in simplest form when the GCF of the numerator and the denominator is
Answer:
A fraction is written in simplest form when the GCF of the numerator and the denominator is 1.
Step-by-step explanation:
if both still shared common factors you could keep reducing the fraction
Help me with number 4 please
Answer:
A = 6
B = 10
Step-by-step explanation:
[] Let's look at the system again:
[tex]\left \{ {{Ax+By=38} \atop {2Ax-By=16}} \right.[/tex]
[] They give us a set of x and y values, (3, 2) so we can plug them into the system.
[tex]\left \{ {{A(3)+B(2)=38} \atop {2A(3)-B(2)=16}} \right.[/tex]
[] Now, we can solve this with a graphing calculator. Let A be x and B be y for the sake of graphing.
A = x
B = y
[tex]\left \{ {{x(3)+y(2)=38} \atop {2x(3)-y(2)=16}} \right.[/tex]
-> See attached
[] We can see the lines intersect at (6, 10) so the answer is A = 6 and B = 10.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
For each value of u, determine whether it is a solution to - 7+5u < 33.
Answer:
All in order:
YES
NO
NO
YES
Step-by-step explanation:
-7 + 5(-6) < 33 YES
-7 + 5(8) < 33 NO
-7 + 5(9) < 33 NO
-7 + 5(-4) < 33 YES
A photo that is 8 in. wide and 12 in. long is enlarged to 24 in., what is the length of the poster?
Answer:
36 in. long
Step-by-step explanation:
If 8 in = 12 in
then 24 in = x
[tex]x = \frac{12 \times24 }{8} [/tex]
[tex]x = \frac{288}{8} [/tex]
x = 36 in.
In Exercises 25–28, the red figure is the image of the
blue figure after a dilation with center C. Find the
scale factor of the dilation. Then find the value of
the variable.
Dilation involves changing the size of a shape
The scale factor is 2, and the value of the variable is 6
How to determine the scale factorFrom the figure, the scale factor is the quotient of the red figure and the blue figure.
So, we have:
[tex]k = \frac{28}{14}[/tex]
Divide
[tex]k = 2[/tex]
The value of the variable (n) is then calculated as:
[tex]n * k = 12[/tex]
This gives
[tex]n * 2 = 12[/tex]
Divide both sides by 2
[tex]n = 6[/tex]
Hence, the scale factor is 2, and the value of the variable is 6
Read more about dilation at:
https://brainly.com/question/3457976
What is the slope of the line through (-5, 30) and (1, -6)?
Step-by-step explanation:
Slope formula:
[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]
m = slope
Substitute the points into the formula format:
[tex] \frac{ - 6}{1} - \frac{30}{ - 5} = m[/tex]
Solve:
[tex] \frac{ - 36}{6} = m[/tex]
Divide:
[tex] - 6 = m[/tex]
The slope equals -6.
what is the name of a chord that subtends two angles?
Answer:
The angle made by the line segments from the chord's endpoints to the centre or at any point on the circle, then the angle formed is called the angle subtended by the chord at a point
Step-by-step explanation:
Answer:
Step-by-step explanation:
I believe you mean the angle subtended by two chords. The angle is called an inscribed angle
REALLY EASY POINTS
-
What are the values of a positive attitude?
Answer:
Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs
Answer pls! No spam!
Answer:
Check the attachment.
Solve for b.
a = 9 b² c
b=±a√3c
b=±ac√9
b=±ac√3c
b=±3ac−−√
b=+ac sqrt 3c
it's b=+ac sqrt 3c
Solve for p.
p−3.16.7=4.55
p=−9.47
p = 2.93
p = 9.13
p = 21.53
Answer: When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.
65+7=72
Final answer: B
Step-by-step explanation:
Answer:
2.93
Step-by-step explanation:
Please help and show work if you can
Answer:
468mm^2
Step-by-step explanation:
1/2 x 8 x 27=108 triangle area
12 x 30 = 360 rectangle area
108+360=468mm^2
Charlie is having a miced fruit salad as a dessert he sort all the different pieces of fruits that he find finds in the salad and then shows these values on circle graph. Help me please urgently
Answer:
D. 1/4Step-by-step explanation:
Total pieces of salad in the circle:
7 + 6 + 3 + 2 + 6 = 24Orange pieces are 6 out of 24:
6/24 = 1/4Total pieces
6+2+6+3+724Orange fraction
6/241/4Please help!!!!!!!!!!
Answer:
Julia find 2 more 3 inch leaves than 4 inch leaves
What is the factored form of 125x6 – 8? (5x2 – 2)(25x4 – 10x2 – 4) (5x2 – 2)(25x4 – 10x2 4) (5x2 – 2)(25x4 10x2 4) (5x2 – 2)(25x4 10x2 – 4).
Factor when divides the function the remainder is zero. The factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).
What is a factor?A factor of a function is a factor which when multiplied by another the result is the function itself.
We know that in order to factorize a function, we need to take the common terms out from the expression,
[tex]f(x)=125x^6-8[/tex]
The given function can be written as,
[tex]f(x)=125x^6-8\\\\f(x)=5^3x^6-2^3\\\\f(x)=(5x^2)^3-2^3[/tex]
Now, we will use the algebraic property to solve the function.
[tex]f(x)=(5x^2)^3-2^3\\\\f(x)=(5x^2-2)(25x^4+10x^2+2^2)\\\\f(x)=(5x^2-2)(25x^4+10x^2+4)[/tex]
Hence, the factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).
Learn more about Factors:
https://brainly.com/question/6810544
Answer:
C
Step-by-step explanation:
The vertices of a figure are given. Find the coordinates of the figure after the transformations given.
F(-9, -9), G(-3,-6), H(-3,-9)
Dilate with respect to the origin using a scale factor of. Then translate 6 units up.
Answer:
the answer of the question will be F(7,9)
Use a ratio box to solve this problem. One hundred
inches equal 254 centimeters. How many centimeters
equal 250 inches?
Answer:
vGreat job!
You earned
+5 pts
for helping
Step-by-step explanation:
I NEED HELP LOLL
[tex]7 \frac{1}{2} \div \frac{3}{4} = [/tex]
Answer:
the answer is 40/4
Step-by-step explanation: 7 1/4 3/4 40/4
if y = 1x + 0 then what i the slope?
What is an equation of the line that passes through the points (4,4) and (8.1)
Answer:
y = - 3/4x + 7Step-by-step explanation:
Use both points and find the slope:
m = (1 - 4) / (8 - 4) = - 3/4Find the line, using point-slope form and point (4, 4):
y - 4 = - 3/4(x - 4)y - 4 = - 3/4x + 3y = - 3/4x + 7Find the length of the rectangle given the area is x2-4x-45 ft2 and the width is x+5
[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=x^2-4x-45\\ w=x+5 \end{cases}\implies x^2-4x-45=L(x+5) \\\\\\ \cfrac{x^2-4x-45}{x+5}=L\implies \cfrac{(x-9)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix}x+5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }=L\implies x-9=L[/tex]
if the original population was 500 and now is 2,000 what is the present of increase
Answer:500/2000 = 25/100 = 25%.
Related Standard Percentage Calculations on Change from 2000 to 3000
X Y Percentage(P) Change
2000 3100 55
2000 3120 56
2000 3140 57
2000 3160 58Step-by-step explanation:
Challenge A cell phone plan costs $19.80 per month for 400 minutes of talk time. It costs an additional $0.06 per minute for each minute over 400 minutes. To get e-mail access, it costs 20% of the price for 400 minutes of talk time. Your bill, which includes e-mail, is the same each month for 6 months. The total cost for all 6 months is $168.48, Write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
2,541 minutes
Step-by-step explanation:
i hope this helps
WHAT IS QUESTION B???
Answer:
Step-by-step explanation:
W1: 25 X 3 = 75 ft
N1: 25 X 13 = 325 ft
E1: 25 X 7 = 175 ft
S1: 25 X 5 = 125
W2: 25 X 4 = 100
Add all sides up to get a total of 800
Which relationships describe angles 1 and 2? Select each correct(multiple choice)
a adjacent
b vertical
c supplementary
d complementary
find the distance between the points (1, 2) and (4, 3)
What’s 2% as a fraction
Answer:
1/50
Step-by-step explanation:
2% is 2/100
Which simplified is 1/50
look at the screenshot
Answer:
$132
Step-by-step explanation:
[] First, we will set up an equation for Ross.
-> We will use slope-intercept form (see attached)
-> The slope:
[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1} }[/tex] = [tex]\frac{81-40.5}{6-3}[/tex]=[tex]\frac{40.5}{3}[/tex]=13.5
-> The y-intercept:
y = 13.5x + b
(81) = 13.5(6) + b
81 = 81 + b
0 = b
-> Final equation:
y = 13.5x
-> For 8 hours, we will plug in 8 as the x.
y= 13.5(8)
y = $108
[] Joey earns 3 dollars more,
y = (13.5 + 3)x
-> Now we will plug 8 into the equation as x,
y = $132
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
132
Step-by-step explanation:
plz tell me the Right Answer
Answer:
1. a
2. mode is 14,so I think C
3. a because it was around 100
4. a
5. a
6. b
7. a
8. a
9. b