M
IF THE VOLUME OF THE BOX BELOW IS
x3 + 6x2 + 9x + 4
AND THE WIDTH OF THE BOX IS x + 4,
THEN FIND THE LENGTH AND HEIGHT OF
THE BOX
Answers
Answer:
The length of the box is (x + 1)
The height of the box is (x + 1)
Step-by-step explanation:
The given function representing the volume of the box is presented as follows;
V = x³ + 6·x² + 9·x + 4
The function representing the width of the box, W = x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1
x³ + 4·x²
[tex]{}[/tex] 2·x² + 9·x + 4
[tex]{}[/tex] 2·x² + 8·x
[tex]{}[/tex] x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)
The width of the box = (x + 4)
The length of the box = (x + 1)
The height of the box = (x + 1).
Related Questions
The amount of flour that the bakery used this month was a 40% increase relative to last month. The bakery used 75 pounds of flour last month. How much
flour did the bakery use this month?
Answers
100-40= 60%= 0.6
75-0.6= 74.4 pounds of flour
I’m sorry if it’s wrong because I’m not 100% sure
Answer: 11%
Step-by-step explanation:
so, I’m not going anywhere else to go to the store and I’ll let you know if you need anything or do I need to get something for dinner lol you know what I’m going through and I can’t even imagine what you mean by that time and you have have to do that for you too but I’m just trying to get you to do that that I don’t want to do with that and that I’m going to be a pain and I’m sorry I don’t want you to think that you have been in the hospital and you have no desire for me to come in this week I don’t think I can do anything with your dad and you are just not being mean and I can’t even talk to you and I’m not going through all that I know I don’t know what to do but you are not going through all this nonsense I know that I know what I want you do not need me but you know me I love that I don’t know if I will ever do that anymore but you are not even in my mind for a while but you are not so much and I’m sorry I just want to make sure that I have no idea that I’m going to have to be a friend of my best relationshi.
Suzanne is putting a fence around her rectangular garden. The length of the garden, x, is 4 feet more than the width. The perimeter of the garden is 32 feet. Write an equation to find the length of the garden.
Enter the correct answer in the box.
Answers
Answer:
Length=10 feet
Width=6 feet
Step-by-step explanation:
Let width (W) of the garden is x feet
Then Length=L=4+x feet
Perimeter=P=2(W + L)
P=2(x+x+4)
32=4x+8
4x=32-8
x=24/4=6 feet
W=6 feet
L=10 feet
Find the sum of 5x2 - 3x + 2 and 3x2 - 4x - 1. Show all your work!!
Answers
Answer:
5 x ^2 − 3 x + 2 = 3 x − 4 x − 1 = − x − 1
Can't explain, cause it will be more confusing.
4 times the sum of 34 and 8
Answers
Answer: 168
Step-by-step explanation:
Answer:
168
Step-by-step explanation:
34+8=42
42x4=168
HELP I NEED HELP ASAP
Answers
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Jessica runs between 3 and 7 miles per day. It takes Jessica 12 minutes to run one mile. What is a reasonable amount of time that Jessica spends running every day?
A.
36 minutes
B.
120 minutes
C.
84 minutes
D.
60 minutes
Answers
Answer:
36mimutes
Step-by-step explanation:
Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the
ounce to mail a package. How much does the package weigh in ounces?
Answers
Answer:200 ounces
Step-by-step explanation: multiply 12.5 by 16
Jessica is measuring two line segments. The first line segment is 300 cm long. The second line segment is 500 cm long. Find the total length of both the line segments.
Answers
Answer:
The total length of both the line segments is 800 cm long.
Step-by-step explanation:
How do you solve -2+x=-x+2
Answers
Answer:
x=2
Step-by-step explanation:
-2 + x = -x + 2
Isolate the variable
2x = 4
Simplify
x = 2
Answer:
x = 2
Step-by-step explanation:
you want to move the variables to one side, the numbers to the other side.
x = -x+4
then you move the other x
2x = 4
x = 2
Please help me write an equation for this problem
Answers
Answer:
[tex] an \: equation \: for \: this \: problem \:i s \: \to : \\ \boxed{ 7200 = 12t}[/tex]
Step-by-step explanation:
[tex]let \: the \: distance \: be \to \: d \\ \\ let \: the \: speed \: rate \: be \to \: s \\ \\ let \: the \: time \: of \: action \: be \to \: t \\ therefore \to: \\ s = \frac{d}{t} = 12 = \frac{7200}{t} \\ \\ 7200 = 12t \\ [/tex]
Solve the inequality and graph the solution, please put it on a number line if you can.
200 - 4.5x ≤ 20
Answers
Answer:
x is greater than or equal to 40
Step-by-step explanation:
Plz help meeeeeeeee You must make a constructive response and this is 8th Grade Math
Answers
Answer:
I'm in 10th grade so I'll see what I can do and will answer to the best of my ability.
Step-by-step explanation:
What Julie did wrong was, she did simplify she just did it wrong. She used 4*8 which does equal 32 but 8 can't be simplified anymore than that. If she would of used 2*16 then her answer would be right.
Hope this helps!
Answer:
[tex]5 \sqrt{18} - \sqrt{32} \\ = 5 \sqrt{9 \times 2} - \sqrt{4 \times 4 \times 2} \\ = 5 \times 3 \times \sqrt{2} - 2 \times 2 \times \sqrt{2} \\ = 15 \sqrt{2} - 4 \sqrt{2} \\ = \boxed{11 \sqrt{2} }[/tex]
11√2 is the right answer.last month a class collected 240 cans for a canned-food drive. this month the class collected 320 can. what was the percent increase in the numbers of cans collected
Answers
Because 240 is 75% of 320
Hope this helps ^W^
Which decimal is equivalent to
NI
OA) 0.416
B) 0.416
C) 0.416
OD) 0.416
Answers
Answer:
b
Step-by-step explanation:
6 is repeating
fillerfillerfilller
can someone help with functions stats and trig test ? it’s urgent i need to pass
Answers
Answer:
ya i can
Step-by-step explanation:
What is the volume of the triangular prism
Hight 10in
Base 14 in
Length 6
Answers
Answer:
[tex]V=336\ in^3[/tex]
Step-by-step explanation:
Triangular Prism
Given a triangular prism of base area A and height H, its volume is obtained with the formula:
V = AH
The area of the base is calculated as follows:
[tex]A = \frac{WL}{2}[/tex]
Where W is the width and L is the length. Both dimensions must be perpendicular.
The triangle of the base has a hypotenuse equal to 10 in and the width is 6 in, the length is calculated by:
[tex]L=\sqrt{10^2-6^2}[/tex]
[tex]L=\sqrt{100-36}=\sqrt{64}[/tex]
L = 8 in
The area is:
[tex]A = \frac{6*8}{2}[/tex]
[tex]A = 24\ in^2[/tex]
Finally, the volume is:
[tex]V = 24\ in^2*14\ in[/tex]
[tex]\boxed{V=336\ in^3}[/tex]
Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m - 5t
Answers
Answer:
11
Step-by-step explanation:
1. fill in the variables
3(7)- 5(2)
2. Multiply
21- 10
3. Subtract
21-10=11
Find the slope of the line passing through the points (-5,6) and (6,6).
slope:
Answers
Answer:
0
Step-by-step explanation:
the equation on finding slope is y2 - y1/x2 - x1
so it is...
6 - 6 = 0
6 - -5 = 11
0/11 but that doesnt work so I believe the slope is zero because the denominator is not the one being a 0
hope I helped ;)
Answer: its a zero slope
Step-by-step explanation: i just put them on a graph - uh i think there is another way to do it but i forgot
can someone help me ill mark you brainliest
Answers
Answer:
Equation: x+x+6=20
x=7
Andy completed 16 problems
Step-by-step explanation:
Help me with this pls
Answers
Answer:
D 10x=150
Step-by-step explanation:
They are the same degree so they must equal eachother
Answer:
10x=150(Vertically Opposite Angle)
HELP ME I BEG U a solution to the equation 4x-3y=12 must also be a solution to which of the following equation?
(1) 4x+3y= -12
(2) 12x-9y=36
(3) 2x-3y=6
(4) 8x-6y=12
Answers
Answer:
(2) is the correct answer
Step-by-step explanation:
if you multiply the given equation by 3 you get answer (2):
3(4x - 3y) = 3(12)
12x - 9y = 36
Answer:
(2) 12x-9y=36
Step-by-step explanation:
4x-3y=12 (×3)
12x-9y=36
a rectangle has a length 3 meters more than three times the width. the area of the rectangle is less than 90 meters squared. write an expression that represents all possible widths (use the variable x) of the rectangle. write your answer as an inequality, a < x < b.
Answers
Answer: -6<x<5
Step-by-step explanation:
Given
Length is 3 m more than three times the width
Suppose width is x
So, the length is 3x+3
The area of a rectangle is [tex]length\times width[/tex]
Area= [tex](3x+3)x<90[/tex]
[tex]\Rightarrow 3x^2+3x-90<0\\\Rightarrow x^2+x-30<0\\\Rightarrow x^2+6x-5x-30<0\\\Rightarrow (x+6)(x-5)<0\\\Rightarrow -6<x<5[/tex]
Two hundred twelve adults and one hundred eighty children attended a county fair one night. If the adult admission price was $7.50 and the children's admission was $3.00, how much money was paid for admissions?
Answers
hope this helpssssssssss
Using the figure above, what are the measures of the 3 angles in triangle DEF? PLS HURRY! THANKS
Answers
Answer:
F= 34 degrees (alternate angles are equal)
To find D
we first have to find the angles at AB
B =180- 165 (sum of angles on a straight line = 180°)
therefore B = 15°(we'll use this to find the angle at E)
A=34 (from the diagram)
so,
D = 180- (15 + 34) [sum of angles in a triangle = 180°]
D = 131°
E=15° (alternate angles are equal )
Step-by-step explanation:
there u go!
Solve.
-2 1/3 - (-5) = ?
Answers
Answer:
8/3
Step-by-step explanation:
Algebra is a hard subject for me can I have help please
Answers
Answer:
What he/she said
the amount of ppl who do this lol.
The fraction: 340 | 3/4
Which quotient equals to the fraction?
A: 3/4 divided by 340
B: 340 divided by 3/4
C: 340/45
D: 340 divided by 75
Answers
Answer:
It's A I hope that helps
Step-by-step explanation:
next guestion why does math even exist!!!!
Answers
Answer:
B.
Step-by-step explanation:
I know this because I asked my Math teacher.
please help i’ll give brainliest
Answers
Answer:
about 463 minutes or 7.7 hours
Step-by-step explanation:
area=length*width
4.75ft*3.25ft=15.4375ft^2
Now multiply 15.4375*30 to get 463.125 minutes
Please help! This is due in two minutes :(
Is y=x^2 a function
Answers
Answer:
No
Step-by-step explanation:
y=x^2 is a sideways parabola and therefore not a function
Answer:
yeah
Step-by-step explanation:
Like based on existence theorem, for a rational number x there is a rational numner y, x^2=y