The volume of a rectangular prism box can be represented by the function V(x) = 2x3 + 5x2 − 3x. If the height of the box is x cm, which of the following can represent the length and width of the container?
2x + 1 and x + 3
2x + 1 and x − 3
2x − 1 and x + 3
2x − 1 and x − 3
The factors which can represent the length and width of the container are; 2x − 1 and x + 3.
The Volume of a rectangular prism is a three-dimensional quantity and is the product of its length, width and height.
In essence;
Volume = l × w × h.However, V = 2x3 + 5x2 − 3x and height, h = x.
Therefore; V/h = l × w
l × w = (2x³ + 5x² - 3x)/xl × w = 2x² + 5x -3.l × w = (2x − 1) (x + 3)Consequently, the factors which can represent the length and width of the container are; 2x − 1 and x + 3.
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2+3x4+5= help me ples me need hlep pleas
Answer:
the correctanswer is 19
Will mark BRAINELIST, please answer!
Answer:
a. D
b. C
Step-by-step explanation:
a. to find the x intercept substitute in 0 for y and solve for x. to find the y-intercept substitute in 0 for x and solve for y.
b. solve for x
alvin is 11 years older than ella. the sun of their ages is 59. what is elgas age
Answer:
Hii, okay so the answer 48
Step-by-step explanation:
Just subtract, Hope this helps :)
Answer:
24 years old
Step-by-step explanation:
Given information:
• Alvin is 11 years older than Ella.
• The sum of Alvin and Ella's ages is 59.
First, put the given information into an equation that can solve for Ella's age:
x = Ella's age
x + 11 = Alvin's age
x + x + 11 = 59 Combine like terms.
2x + 11 = 59 Subtract both sides of the equation by 11 to isolate x.
2x = 48 Divide both sides by 2 to get the value of x.
x = 24
Ella's age is 24 years old.
Help me please is is odd or even or neither?
Answer:
it's odd
Step-by-step explanation:
sysysysy character limit
9514 1404 393
Answer:
odd
Step-by-step explanation:
An odd function has the characteristics ...
symmetrical about the originf(-x) = -f(x)An even function has the characteristics ...
symmetrical about the y-axisf(-x) = f(x)__
The graph of the function shows symmetry about the origin. If we substitute -x for x, we get ...
[tex]h(-x)=\dfrac{3(-x)^3}{8(-x)^2-9}=\dfrac{-3x^3}{8x^2-9}\\\\h(-x)=-\dfrac{3x^3}{8x^2-9}=-h(x)\qquad\text{the function is odd}[/tex]
_____
Additional comment
Both the numerator and denominator are polynomial functions. A polynomial function is odd if it contains only odd-degree terms, like the function in the numerator. A polynomial function is even if it contains only even-degree terms, like the function in the denominator. (A constant is 0 degree--even.)
A rational function consisting of the ratio of odd or even functions (not "neither"), will be odd or even according to the parity of the ratio:
odd/odd = even/even = even function
odd/even = even/odd = odd function . . . . . the situation in this problem
Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) = -12?
O x= -2, x= -4
O x= -2, x = 4
O x= 2, x= 4
O x = 2, x = 4
Answer: B
Step-by-step explanation:
Helene, who drives a cab, is paid $250 per week. She averages $75 per day in tips. About how much does she earn per 5 day work week?
Which expression has the greatest value 49.2,49-16,25+16,25.3
What’s the value of number 2
Where's the question? I think you forgot to post it.
Help me with this please ;(
Answer:
5 cubes , so 5 cubic units
Step-by-step explanation:
There are 5 cubes in this figure.
Since each cube is a cubic unit, the answer is 5 cubic units.
-Chetan K
cho tam giác abc vuông tại a
Chứng minh:
a c ⋅ sin b + a b ⋅ sin c = b c
if ab=2√3 then find the value of a^4+b^4
Answer:
umm wait
Step-by-step explanation:
Answer:
Step-by-step explanation:
a zoo feed its monkey a mixture of fruits and vegtables
A Monkey:30 find what is the vegatble
B vegtable 70 find whta if the fruit
Answer:
Fruits: Vegetables:
50 42
Step-by-step explanation:
According to the diagram we can get the ratio of fruits to vegetables is 5:7
1) Fruits: 30,Let's suppose the amount of veegtables is x so, 30:x=5:7⇒5x=30*7⇒x=42
2) Vegetables: 70, lets suppose the amount of fruits is y
So, y:70 = 5:7 ⇒ 7y = 70 * 5 ⇒ y = 50{ use the ratio }
Monkey Fruits Vegetables
A 30 42
B 50 70
2. Aimee lives 4/5 of a mile from
the park. She has walked 2/3 of
the way to the park. How far has
Aimee walked?
Answer:
[tex]\frac{8}{15}[/tex] of a mile
Step-by-step explanation:
To find a segment of a fraction, you must first find the LCM of each value's denominator:
LCM - Lowest Common Multiple
The lowest common multiple is the number that shows up first in each number's multiple set.
Example: LCM of 4 and 6
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 6: 6, 12, 18, 24, 30
Because 12 is the first number to show up in each multiple set, 12 is the LCM.
So, to be able to solve this problem easy, do the same with 5 and 3:
5, 10, 15, 20, 25
3, 6, 9, 12, 15
Since 15 is the first number in both sets, 15 is the LCM.
The next step is to multiply [tex]\frac{4}{5}[/tex] by [tex]\frac{x}{x}[/tex], x being the value that can be multiplied with the denominator to equal 15:
[tex]\frac{4}{5}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{12}{15}[/tex]
To find how much [tex]\frac{2}{3}[/tex] of [tex]\frac{12}{15}[/tex] is, multiply the fractions together:
[tex]\frac{12}{15}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{24}{45}[/tex]
Simplify the fraction by dividing the numerator and denominator by 3.
[tex]\frac{24}{45}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{8}{15}[/tex]
Because the fraction can't be simplified any further, Aimee has walked a total of [tex]\frac{8}{15}[/tex] of a mile.
-2 times three sevenths
4 and 2/7 is the answer i think
3) y = 3x^2 – 17x + 10
4) y = x^2 + 2x - 9
Answer:
(3) x = 17/6 (4) y = -41/4
Step-by-step explanation:
i hope this helps u
1483, 1482 is greater or less
Answer:
1483>1482
Step-by-step explanation:
1483 is bigger than 1482 by one so 1483 is bigger , it wasn’t that hard .
Factor 20r + 60t to identify the equivalent expressions,
Choose 2 Answers
Answer:
option D
Step-by-step explanation:
[tex]20r + 60t\\\\= (4 \times 5 \times r) + (4 \times 5 \times 3 \times t) \ \ \ \ \ [ 20 = 4 \times 5, \ 60 = 4 \times 5 \times 3] \\ \\=(20 \times r ) + ( 20\times 3 \times t)\\\\=20 \times r + 20 \times 3t\\\\= 20 \times ( r + 3t)\\\\=20( r + 3t)[/tex]
Whats the difference between a closed eye and an open eye in algebra
Answer:
If the inequality is "strict" ( < or > ), we use an open dot to indicate that the endpoint of the ray is not part of the solution. For the other types of inequalities ( ≤ and ≥ ), we use a closed dot to indicate that the endpoint is part of the solution.
Step-by-step explanation:
20 Gina solved the inequality below.
16 > 2y - 4
What is the solution to Gina's inequality?
Answer:
tysm
Step-by-step explanation:
salamat sa points tysm
What letter comes next in this pattern A,F,L,S
When you roll a pair of dice, there are several outcomes, as shown below:
When rolling the dice, the outcome is expressed as a sum of the two dice. For
example, if after you rolled the dice, and one die was a 3 and the other was a 4, you
will have rolled a 7.
Select all of the TRUE statements below. There may be more than one.
The probability of rolling the same digit with each die is 1/4.
The odds in favour of rolling a 10 is 1:13.
The odds against rolling a number less than 7 is 7:5.
Answer:
M
Step-by-step explanation:
M
M
M
M
M
I
L
K
What number has 6 hundred thousands, 9 ten thousands, 7 thousands, 6 hundreds, 5 tens, and 2 ones?
Answer:
Step-by-step explanation:
600000
90000
7000
600
50
2
=697652
A successful basketball player has a height of 6 feet 4 inches, or 193 cm. Based on statistics from a data set, his height converts to the z score of 2.66. How many standard deviations is his height above the mean?
Answer: 2.66 standard deviations above the mean
Explanation:
The z score directly determines how far we are from the mean. For positive z values, we are above the mean, while negative z values are below the mean.
The mean itself is z = 0
The absolute value of the z score is the distance from the score to 0. So having a z score of z = 2.66 means we are 2.66 standard deviations above the mean. Something like z = -2 means we are 2 standard deviations below the mean.
Hi again, please be honest, is this correct?
No you would have to divide 8680 by 28 not multiply 8680 by 28
The answer would have been 310 inches squared
What is equivalent to (7^3)-2
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given expression can be written as :
[tex](7 {}^{3} ) {}^{ - 2} [/tex][tex](7) {}^{3 \times - 2} [/tex][tex](7) {}^{ - 6} [/tex][tex] \dfrac{1}{ {(7)}^{6} } [/tex]Simplify (3√5 - 5√2) (4√5 - 3√2)
Answer:
90+29√10
Step-by-step explanation:
use binomial multiplication
12(5)-9√10-20√10+15(2)
60-29√10+30
60+30-29√10
90+29√10
1
You are running a fuel economy study. One of the cars you find is blue. It can travel 383 miles on
1
3
4
1-
gallons of gasoline. Another car is red. It can travel 255
miles on
4
gallon of gasoline. What is
5
the unit rate for miles per gallon for each car? Which car could travel the greater distance on
1 gallon of gasoline?
The unit rate for the blue car is mile(s) per gallon.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box and then click Check Answer.
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The answer t^{}
o your question is i^{}
n the file
3. The cost of a taxi ride is the sum of a fixed cost of $2,50 for the first kilometer, plus
$175 for each additional kilometer,
a. White an equation that relates the cost of the taxi ride, Fdollars, to the distance
travelled,
Determine the cost of a 28km taxi ride. Show all the math!
Answer:
y=2.50+175*(x-1)
$4727.50
Step-by-step explanation:
y=2.50+175*(x-1)
The first km costs 2.50 which is why you add it. You do x-1 because the 175 is charged for each additional km. So, if you traveled one km it would cost 2.50.
y=2.5+175*(28-1)
y=2.5+175*27
y=2.5+4725
y=$4727.50
The sum of the speeds two trains is 717.6 miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train, find the speeds
of each.
What is the speed of the first train?
Train 1 = x + 6.4
Train 2 = x
(x) + (x + 6.4) = 717.6
2x + 6.4 = 717.6
2x = 711.2
x = 355.6
Train 1 = 355.6 + 6.4 = 362 mph
Train 2 = 355.6 mph
Hope this helps!! :)