The question is incomplete. Here is the complete question.
The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?
Answer: width = [tex]4x^{2}[/tex]
length = [tex]2x^{3}+3x+5[/tex]
Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.
To find the greatest common factor:
1) Write each in prime factored form:
2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x
2) Identify the common factor among the terms:
For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]
Therefore, the width of the rectangle is:
w = [tex]4x^{2}[/tex]
Area of a rectangle is the multiplication of width and length, so:
[tex]A=w*l\\l=\frac{A}{w}[/tex]
To calculate length, we will have to divide polynomials:
[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]
[tex]l = 2x^{3}+3x+5[/tex]
Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.
Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10.
The image of the division problem is missing, so i have attached it.
Answer:
D: He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
From the image, we can see from the initial values, they are trying to divide 0.52 by 754.
In Mathematics, it means that 0.52 is the divisor while 754 is the dividend.
Now, the next step sees 0.52 changed to 52 while 754 changes to 7540.
Now, 0.52 to 52 means 0.52 was multiplied by 100.
This means that 754 should also be multiplied by 100 to give 75400 in order to retain the original answer that would have been gotten if we had divided 0.52 by 754.
Yet they used 7540.
Thus,the error is that he multiplied the divisor by 100 while he multiplied the dividend by 10.
Answer :
D - He multiplied the divisor by 100 and the dividend by 10.
Simplify the expression-2(-9g+4)
Answer:
18g - 8
Step-by-step explanation:
Multiply using the distributive property.
Answer:
18g-8 is the answer
Step-by-step explanation:
You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +
Let p = 5 - 2i and q = -3 + 7i
Write the expression in the form a + bi
p +9
What integer divided by -5 equals -6?
-30
24
-24
30
Answer:
30
Step-by-step explanation:
30/-5=-6
due to integer rules the number would be negative
Which of the following ordered pairs are y-intercepts? Check all that apply
(4,0)
(-1, 1)
(0,0)
(0,-7)
(-2,-2)
(0,-0.25)
A y-intercept is the value at which x = 0.
(4,0) is not a y-intercept because x = 4.
(-1, 1) is not a y-intercept because x = -1.
(0,0) is a y-intercept because x = 0.
(0, -7) is a y-intercept because x = 0.
(-2, 2) is not a y-intercept because x = -2.
(0, -0.25 is a y-intercept because x = 0.
Answer:
here's the answer
Step-by-step explanation:
When you were born, your grandma put $308 into a bank account for you to have when you turn sixteen. She has specific directions that you must follow in order to access the money. Starting on your 16th birthday, you must withdraw (take out) $14 a week for ‘fun money.’
a. Write an equation to represent this situation.
b. When will you run out of money? Show all of your work for calculating this problem and don’t forget to include your units!
c. Find the domain & range of this problem in the real-world context.
Answer:
$308 - 14r
Number of weeks = 22 weeks
Step-by-step explanation:
Given that:
Amount kept in bank = $308; which should be withdrawn weekly at $14 per week
Total amount in bank - weekly withdrawal * number rof weeks
Let number of weeks = r
$308 - 14r
When will the money run out
$308 - 14r = 0
-14r = - 308
Divide through by 14
14r/13 = 308/14
r = 22
Tne entire money can be withdrawn for 22 weeks at $14 per week without any leftover.
Which shows the scale factor used to dilate triangle XYZ to form triangle X'Y'Z'?
A( 1/2 x, 1/2 y)
B (1/3 x, 1/3 y)
Answer:
B
Step-by-step explanation:
A is wrong lol, trust me.
A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?
Answer:
1.91666667
Step-by-step explanation:
7 times 3/4 = 5.25
5.25 - 3 1/3 = 1.91666667
I need help asap please
Answer:
(E) if im wrong don't sew meh
Step-by-step explanation:
Cole is making decorated jellybean bags for a party. Each one contains 5/6 pounds of jellybeans. If cole has purchased 1,000 pounds of jellybeans, how many party bags can Cole make?
Answer:
1166 is the answer to your suggestion
Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?
Given:
Jack's plan charges a fee of $24 plus $0.08 per minute he talks.
Jill's plan charges a fee of $10 plus $0.15 per minute she talks.
To find:
The equation which is used to determine when Jack and Jill's plans will be the same.
Solution:
Let t be time in minutes.
Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is
[tex]f(t)=24+0.08t[/tex]
Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is
[tex]g(t)=10+0.15t[/tex]
Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].
[tex]24+0.08t=10+0.15t[/tex]
Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].
What is the app, oximate value of 8
to the nearest tenth?
Answer:
10
Step-by-step explanation:
All other tens values are too far
Answer:
10
Step-by-step explanation:
what is the slope (m) and the y-intercept (b) for y = 4x -8 *
y=-4x-8
To find x-intercept / zero , substitute y=0
0=4x-8
Move Variable to the left-hand side and change its sign
-4x=-8
Divide both sides of the equation by -4
Answer: x=2
Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?
Answer:
pft
Step-by-step explanation:
If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?
Answer:
if u get it pls tell me
Step-by-step explanation:
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Answer:
line A is steeper.
Line A´s slope is 1, while line d´s slope is 2/5
Can someone please help me
Answer:
x, 4 y, 3, z2
Step-by-step explanation:
Answer the following above:
Answer:
0.8333 as a decimal or [tex]\frac{5}{6}[/tex] as a fraction.
Step-by-step explanation:
First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or [tex]\frac{5}{6}[/tex] both are equal.
help the extra pics are for the extra answers to the same questions.
Answer:
B
B
B
I think these are right
Step-by-step explanation:
All of them are bs.
It cost Aaron $6.72 to send 168 text messages. What is the cost of sending text messages, in dollars per text?
Answer:
$4
Step-by-step explanation:
If you remove the decimal from the cost and divide it by the number of text messages you get how much each individual message costs. (672 \ 168 = 4)
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50) State the equation of a line that is perpendicular to 4x – 2y = 12 and passes through the point (-4,-3).
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
Add -7d - 3 and 10d - 6. Show all steps.
Answer:
[tex]3d - 9[/tex]
Step-by-step explanation:
[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]
Please help This is due today help please ASAP
Answer:
6:05 PM
Step-by-step explanation:
Answer:
6:05 P. M.
Step-by-step explanation:
3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.
Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.
Answer:
In expanded form:
2^3 = 2 * 2 * 2 = 8
In standard form :
2^3
Step-by-step explanation:
Given the numbers in range (0 to 10)
Write an exponential expression :
Choosing from the range for the Base and the exponent
Base = 2
Exponent = 3
where ; 2 = base. ; 3 = exponent
In expanded form:
2^3 = 2 * 2 * 2 = 8
In standard form :
2^3
-4x-2y = -6
a. y = -2x + 3
b. y = 2x - 3
C. y = 2x + 3
d. y=-2x - 3
Answer:
B
Step-by-step explanation:
y = 2x - 3
.....20 characters smh
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answer:
see below
Step-by-step explanation:
The rate of change is
f(x2) - f(x1)
------------------
x2-x1
Since this is a line we can pick any two points on the line, one befre x=1 and one after x=1
Let x=0 and x=2
f(2) - f(0)
-------------
2-0
4-2
-------
2
2/2
1
The rate of change is 1
Only do 12(I will mark brainlest
Answer:
D
Step-by-step explanation:
None of them show the Unit Rate
Answer:
B because unit rate is for a single unit.
Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use
Pleas help
Answer:
He used 9 rubberbands.
pls give me brainliest if correct.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
36 divided by 1 over 4 equals 9
9+9+9+9=36
1+1+1+1=36
-----------
4 4 4 4
Calculate the unit rate for each option of Takis, explain which option is better,
and why?
Answer:
they are better because they are cheeper than the other
Expand & simplify 3(y+5)-5(y-3)
Answer:
-2y + 30
Step-by-step explanation:
3(y+5)-5(y-3)
Distribute
3y+15 -5y +15
Combine like terms
-2y + 30