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
what is 0.5x+1/5y-3.5x-4/5y
Answers
Answer:
−3x+ −3/5y
Step-by-step explanation:
Find the equation of the line.
Answers
y = -1/3x + 5
EXPLANTION:
The line goes down one and right three which makes the slope -1/3.
The line touches point (0,5) which is the y intercept.
Putting them together will result in the answer :)
FUN FACT:
The slope of a function of position is the velocity
I hope this helped and have a great day :3
Ronnie bought 6 ice cream cones for himself and his friends. Seventeen cents tax was added to the price of each cone. The total cost was $14.58.
Answers
Answer:
Step-by-step explanation:
Since the tax is 17¢, then you have to subtract that from 14.58
14.58-.17=14.41
14.41/6
$2.40
While on vacation in Lexington, Nathan went out for a dinner that cost $60. If sales tax in Lexington is 5% and Nathan left a 20% tip on $60, what was the total cost of his meal?
Answers
Answer:
120 because he left the tip and you have to divide the tip by the total cost
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y = -2x-5
Step-by-step explanation:
So to calculate the slope the equation is y1-y2/x1-x2. We substitute in two points, let's use (-3,1) as x1 and y1, and (1,-7) as x2 and y2. Put those points in the equation and you get -7-1/1-(-3), which is -2. Now you have y=-2x+b
To get b plug in a pair of points to the equations, say (1,-7). -7=-2(1)+b, solve that and you get b=-5.
So y=-2x-5.
hey guys i need this fast its due in 15 minutes and please show step by step process
Answers
What are all the possible Arrays for 64.
Answers
Answer:
1, 2, 4, 8, 16, 32, 64
Step-by-step explanation:
There are 6 possible arrays for 64.
What is an array?An array is a set of items, images, or numbers arranged in rows and columns. Arrays are practical illustrations of multiplication ideas.
The given number is,
64.
To find the array for the number 64,
Find factors of 64.
Factors
= 64, 32, 16, 8, 4, 2, 1
The number of factors = 6
Hence, total 6 possible arrays for 64.
To know more about Array on:
https://brainly.com/question/19570024
#SPJ2
HELP ASAP PLEASE!
What is the PERIMETER of figure ABC?
A (-5,4) B (-9,4) C (-9, -3)
Answers
Answer:
19cm
Step-by-step explanation:
7+4=11
a²+b²=c²
7²+4²=c²
c²=49+16=65
√8+7+4=19cm
Please help me with this question, I need to know what X equals
Answers
Answer: 11
Step-by-step explanation: m<2 is equal to 42. This also means that 3x+9 is equal to 42.
3x+9=42, solve for x. Subtract 9 from both sides. 3x=33, divide by three to get X isolated. X= 11
HI ANSWER QUICK VERY URGENT WILL GIVE BRAINLYIEST
Answers
Eric dropped a ball from a three story building that was 30 feet tall. After the ball landed it bounced 85% the height of the previous height. Write the explicit form to represent the height of the ball after each bounce.
Answers
Answer:
[tex]y= 30-0.85x[/tex]
Step-by-step explanation:
Given data
Height of building= 30ft
We are told that after the ball landed it bounced 85% the height
let the new height be y
So the expression for the new height for x number of bounces is
[tex]y= 30-0.85x[/tex]
I really need help asap
Answers
2=77
Your angles have to equal 90 and 180 degrees
So you would have to subtract from the angles and the numbers
What is the slope of y = -4x + 3 *
b = -4
b=3
m = -4
m = 3
Answers
If the traffic Jam is 52800 and 65% of it is cars, how many feet of cars are there?
Answers
Answer:
34,320 are cars
Step-by-step explanation:
65% of 52,800 is 34,320
Solve a system of equation by elimination
1. 4x+5=21 4x-2y=14
2. 5x+4y=45 -5x4y=35
3. 4x+3y=-10. -4x+y=-30
Answers
Answer:
1: (4,1) x=4 y=1
2: (1,10) x=1 y=10
3: (-25/4,5) x= -25/4 y=5
Step-by-step explanation:
It would be a lot to explain all three so if you really need it just ask
6. (3,4); m=6
How to solve?
Answers
Answer:
x = (7/3,0)
y = (0,-14)
Step-by-step explanation:
make an equation
y = 6x - 14
solve
aden spent $10 on a mug and then sold it, making 20% profit. how much did he sell the mug for?
Answers
Answer:
12$
Step-by-step explanation:
10% of 10 is 1$ 20% of 10 is 2$ so the answer is 12$
A barbeque restaurant serves four meats: brisket, chicken, ribs, and turkey. How many two-meat combos can be served for the luncheon plate? [?] meat combos
Answers
Answer:
6 ways
Step-by-step explanation:
Given that:
Number of options, n = 4
Combo, r = 2
Using Combination :
nCr = n! ÷ (n-r)! r!
4C2 = 4! ÷ (4-2)!2!
4C2 = 4! ÷ 2!2!
4C2 = (4 * 3) / (2 * 1)
4C2 = 12 / 2
4C2 = 6
Abdel wants to draw a square that has the same perimeter as the circle.
What will the side length of their square be?
(The perimeter of the circle is 12 units).
Answers
Answer:
Each side would be 3 units.
Step-by-step explanation:
If the perimeter of the circle is 12 units and there are 4 sides on a square and all of those sides need to be equal all you must do is divide the number of units by the number of sides to get your answer of 3 units.
Hope I could help! :)
Solve for f(-1)
f(x)=-3x +3
f(-1)=?
Answers
Find the equation of the line passing through(1,2) and making an angle of 30 degree with y intercept
Answers
Answer:
Equation of the straight line passing through the point ( 1,2 ) and having the slope
x - √3y -1+2√3 =0
Step-by-step explanation:
Step(i):-
Given that the point (1,2) and an angle = ∝ = 30°
The slope of the line
m = tan 30°
[tex]m = \frac{1}{\sqrt{3} } }[/tex]
Step(ii):-
Equation of the straight line passing through the point ( 1,2 ) and having the slope
[tex]m = \frac{1}{\sqrt{3} } }[/tex]
y - y₁ = m(x-x₁)
y - 2 = [tex]\frac{1}{\sqrt{3} } }[/tex] ( x -1)
√3(y-2) = (x-1)
⇒ √3y - 2√3 = x -1
x - √3y -1+2√3 =0
A 60-kg robot walks at 1 m/s. What is the robot's kinetic energy?
Answers
Answer:
[tex]\boxed {\boxed {\sf 30 \ Joules}}[/tex]
Step-by-step explanation:
Kinetic energy can be found using the following formula:
[tex]KE=\frac{1}{2}mv^2[/tex]
Where m is the mass and v is the velocity.
The robot has a mass of 60 kilograms and a velocity of 1 meter per second.
[tex]m= 60 \ kg \\v= 1 \ m/s[/tex]
Substitute the values into the formula.
[tex]KE=\frac{1}{2} (60 \ kg) (1 \ m/s)^2[/tex]
Solve the exponent first.
(1 m/s)²= 1 m/s * 1 m/s = 1 m²/s²[tex]KE= \frac{1}{2} ( 60 \ kg )(1 m^2/s^2)[/tex]
Multiply the numbers in parentheses.
[tex]KE=\frac{1}{2} ( 60 \ kg*m^2/s^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]KE= 30 \ kg*m^2/s^2[/tex]
1 kg*m²/s² is equal to 1 J Our answer: 30 kg*m²/s² is equal to 30 Joules[tex]KE= 30 \ J[/tex]
The robot's kinetic energy is 30 Joules
The ratio of boys to students is 3 to 7. If there are 20 girls in the school, then how many boys are in the school?
Answers
Answer:
No. of boys = 15
Step-by-step explanation:
Given that,
The ratio of boys to student is 3:7.
Number of girls in the school = 20
We need to find the number of boys in the school.
Let there are 3x boys and 7x number of students.
No. of girls = Total students - no. of boys
= 7x-3x
= 4x
ATQ,
4x = 20
x = 5
No. of boys = 3x
= 3(5)
= 15
Hence, there are 15 boys in the school.
Find the sum of 5x + 20 and the opposite of 20.
Answers
Answer:
The answer would more than likely to be 4..
because u divide 5 on both sides and it will give you x=4
Step-by-step explanation:
plsss help asap first to answer gets brainest
Answers
and the run is 4
A 5-mile walking trail has markers every ¼ of a mile. How many markers are there along the trail?
Answers
Answer:
20 trail markers
Step-by-step explanation: I would appreciate a brainiiest
There are four 1/4 to 1 mile (1/4 x4 = 1)
Multiply 4 by total miles: 4 x 5 miles = 20 total markers.
What is the range of values for the measurement 500 ± 4%
Answers
Answer:
well, the first thing you need to do is find 4 percent, which is 5 times as much as 4% of 100, which is 4, 4x5 is 20 so the range of values is 480-520
Step-by-step explanation:
that kinda was ur step by step equation.
Find the horizontal or oblique asymptote of f(x) = 2 x squared plus 5 x plus 6, all over x plus 3 . (5 points)
Question 15 options:
1)
y = −3
2)
y = 2x − 1
3)
y = −5
4)
y = −2x + 5
Answers
Answer:
2x-1
Step-by-step explanation:
the answer is the second option. I just took the test
A cooler contains 4 L of water. The cooler has marks on it at every 0.2 L. Water bottles are filled with water from the cooler, and each bottle holds approximately 4··9L. After 4 water bottles are filled, between which two marks is the water level in the cooler? Show your work.
Answers
Complete question :
A cooler contains 4 L of water. The cooler has marks on it at every 0.2 L. Water bottles are filled with water from the cooler, and each bottle holds approximately 4/9L. After 4 water bottles are filled, between which two marks is the water level in the cooler? Show your work.
Answer:
2.2 - 2.4 Litre
Step-by-step explanation:
Capacity of cooler = 4L
Marking on cooler = every 0.2L
Capacity of bottle = 4/9 L
Number of bottles filled = 4
Total volume filled = (4/9) * 4 = 16/9 L = 1.78L
Volume of water left in tank :
(4 - 1.78)Litre
= 2.22 litres
Since, the tank is marked at 0.2 L interval ; the water level will be between 2.20 to 2.40 litres
Mary has completed 9 deliveries so far this week. She needs to make 60 deliveries for the week. What percentage of her deliveries has Mary completed?
Answers
Answer:
She has completed 15% of her deliveries.
