Find the volume of a rectangle box given the length of x, width of (x-2) and height of (3x+5)
Answer:
3x^3 − x^2 − 10x
Step-by-step explanation:
V= l*w*h
V= x * (x-2) * (3x+5)
V= (x(x−2)) (3x+5)
= (x(x−2)) (3x) + (x(x−2)) (5)
= 3x^3 − 6x^2 + 5x^2 − 10x
=3x^3 − x^2 − 10x
The aspect ratio of a rectangular shape is its length (L) divided by its width (W). It is expressed as L:W or L/W. If the aspect ratio of a chalkboard is 12:7 and the length is 36 in, what is the width of the chalkboard?
Answer:21
Step-by-step explanation:12 times three is 36 and 7 times 3 is 21
whats the answer to 6/2(1+2)=
Answer:
the answer is 9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
6/[2(1+2)]
Using PEMDAS
parentheses first
6/[2 (3)]
6/6
1
PLEASE HELP,I AM BEING TIMED!!
Measure the angle of 2
Options: 100
120
30
60
Answer:
120
Step-by-step explanation:
good luck
Answer:
Step-by-step explanation:
x + 60 = 180
x = 120°
Given g(c) = f(x) + k, enter the value for k that transforms the function f into g?
k =
Translation involves changing the position of a shape or line or point.
The value of k is -3
The given parameter is:
[tex]\mathbf{g(x) = f(x) + k}[/tex]
From the attached graph, we can see that the line of f(x) is shifted down by 3 units to form g(x).
This means that:
[tex]\mathbf{g(x) = f(x) - 3}[/tex]
By comparing: [tex]\mathbf{g(x) = f(x) - 3}[/tex] and [tex]\mathbf{g(x) = f(x) + k}[/tex]
We have:
[tex]\mathbf{k = -3}[/tex]
Hence, the value of k is -3
Read more about translations at:
https://brainly.com/question/12463306
35% of the students in Mr. Simmons’ math class liked last nights’ homework. If there were 49 students who liked last nights’ homework, how many total students does Mr. Simmons teach?
Answer:
the answer should be 140
Step-by-step explanation:
Jennifer's bank account is modeled by the following equation where x equals the number of weeks and f(x) equals the total balance. f(x) = 12x + 45 William's bank account balances after weekly deposits are showing in the following table. How much money was in Jennifer’s account when it was opened?
Answer:
30
Step-by-step explanation:
The money that was in Jennifer’s account when it was opened should be 30.
Calculation of the money:Since
Jennifer's bank account is modeled by the following equation
where x equals the number of weeks and f(x) equals the total balance.
And, the equation is f(x) = 12x + 45.
So here as per the attached graph, so the money should be 30.
Learn more about money here: https://brainly.com/question/3046341
I need help and quick please
Answer:
1. Shade 17 2. 43% 3. 5745.9
Step-by-step explanation: Try this?
how much more can you simplify this
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term
f(n)=-3(n - 1);-39
-39 is the BLANK th term
Answer:
14th term
Step-by-step explanation:
HELP PLEASE WHATS NOT A FUNCTION
What is the lengh of the line segment with endpoints (-6,4) and (2,-5) leave answer in radical form
Answer:
8 Units long
the sides of a triangle measure 3√6 2√24 7√54 what is the perimeter of the triangle
Answer:
Step-by-step explanation:
3*√6 + 2√24 + 7√54= P
3√6 + 2√2*2*6 + 7√3*3*6
3√6 + 2*2√6+7*3√6
3√6 + 4√6 + 21√6
28√6 = the perimeter.
Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work?
Answer:
Identity property of multiplication
Step-by-step explanation:
From step 5:
[tex] 1x = 20 [/tex]
Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.
Step 6:
[tex] x = 20 [/tex]
According to the identity property of multiplication, any value you multiply by 1 gives you that same value.
Therefore, 1x = 1 × x = x.
The variable x multiplied by 1 will give you x.
A retail store is open for 8 hours each day. During a 5-day period, the store had 960 shoppers. Assume that the store had the same number of shoppers each hour during the 5-day period.
The number of shoppers each day is _
, and the number of shoppers each hour is _
.
Answer: 192 shoppers each day and 24 shoppers each hour
Step-by-step explanation:
-Each day= number of shoopers/number of days=960/5
=192 shoppers each day
-each hour per day=number of shoppers per day/number of hours per day
=192/8
=24 shoppers per hour
solve the system of equations by the addition method
5x + 2y = 6
4x - 3y = 14
Answer: x=2, y=-2
Step-by-step explanation:
1) I will find x first, so make the amount of Ys same
3(5x+2y=6)
2(4x-3y=14)
2) 15x+6y=18
8x-6y=28
3) combine them together so Ys are all cancelled and 23x=46
4) x=2
5) for solving y, you can just plug in the x to any of that 2 equations, then 4(2)-3y=14
6) 8-3y=14
7) -3y=6
8) y=-2
Please help . Easy 7th grade work , I’ll give brainliest
Answer:
3. the answer is 5 degrees
4. 8 points
5. 56
6.24
Step-by-step explanation:
even integers from 11 and 111
Answer:
Please see below :)
Step-by-step explanation:
Integers - Whole numbers (no fractions or decimals!)
11 to 111
12, 14, 16, 18, 20
22, 24, 26, 28, 30
32, 34, 36, 38, 40
42, 44, 46, 48, 50
52, 54, 56, 58, 60
62, 64, 66, 68, 70
72, 74, 76, 78, 80
82, 84, 86, 88, 90
92, 94, 96, 98, 100
102, 104, 106, 108, 110
Hope this helped!
A number x is more than 9 units from 14
Answer:
X=9+14
X=23
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
x = 14+9 = 23
Janie has $48 in her checking account. If she writes a check for $19, find her new account balance.
Answer:
29
Step-by-step explanation:
48 - 19
youre welcome!!!
Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
students found that the height, in feet, h, of the ball above the ground as a function of the number of seconds, t, since
it wasdropped was given by h(t) = 10 - 2t^2
1. Determine an appropriate domain for the given scenario. Record your domain in both interval and set builder
notation.
Interval:
Set-Builder:
Justify your reasoning for choosing the above boundaries on your domain using the context of the problem.
How would the domain for this function differ if we were looking at it outside of the context of this problem?
Answer:
Interval notation: [0, 2.236]
Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]
Step-by-step explanation:
Given that:
Equation of height of the ball dropped from a height of 10 foot, as:
[tex]h(t) = 10 - 2t^2[/tex]
Where [tex]t[/tex] is the time since the ball was dropped.
To find:
The domain of the function in Interval and set builder notation.
Solution:
Domain of a function is defined as the set of valid input values that can be given to the function for which the function is defined.
Here, input is time.
We can not have negative values for time.
Therefore, starting value for time will be 0 seconds.
And the value of height can not be lesser than that of 0 ft.
[tex]0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds[/tex]
Maximum value for time can be 2.236 seconds.
Therefore the domain is:
Interval notation: [0, 2.236]
Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]
PLEASE ANSWER QUICK The vertex of
Answer:
The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry. For a parabola whose equation is given in standard form , the vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if .
Step-by-step explanation:
The relationship between the number of pounds (lb) of trail mix and the price in dollars is shown in the graph. What is the unit price of trail mix? 40 32 Price (dollars) 24 16 2 3 Weight (pounds) 116 3
Answer: b - $8/1 lb
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I got it right :)
Half note times a whole note plus 2 quarter notes minus 3 half notes
equals...?
A. 2
B. 4
C. 6
D. 8
ben and winston ade both selling cookie dough for a fundraiser. Although ben has already sold 10tubs, Winston hasnt sold any yet. If ben starts selling
8tubs per day and Winston begins selling 9tubs per day, they will eventually sell the same amount of cookie dough. how many days will that take
? Plzzz help
Answer:
Step-by-step explanation:
On the first day, Ben (B) starts with 10 tubs and Winston (W) starts with 0 tubs.
After the first day, Ben sells 8 tubs per day while Winston sells 9 tubs per day.
Therefore we can write the following equation: (Where d = number of days)
B = 10 + 8d
W = 0 + 9d = 9d
We are told that eventually they will sell the same amount which means
B = W
This means we can say,
10 + 8d = 9d
If we subtract 8d from both sides we get
10 = d
Therefore it will take 10 days for them to sell the same amount of cookie dough.
Answer: 10 days
10 + 8 x 10 = 90
9 x 10 = 90.
It will take 10 days for Ben and Winston to sell the same amount of cookie dough.
Hope this helps you!
$1995 at 6.5% for 10 years.
answer:
10 times 6 is 60 plus 5 is 65 carry the 5 you've got
1995
+
565
=
2560
step-by-step explanation:
and that's on periodt
YO CAN ANYONE ANSWER DIS MATH QUESTION!!!
Answer:
2.39 ydStep-by-step explanation:
Formula is given
C = 2πrIf C = 15 yd, π = 3.14, then r is
C = 2πr r = C/2π r = 15/(2*3.14) = 2.39 yd rounded to the nearest 100thFind the coordinates of point P along the directed line segment AB so that AP to PB is the ratio of 1:2.
Answer:
hay we need to see the cordnit plan first
Step-by-step explanation:
Dalyn has been asked to consider the following functions:
f (x) = 6x² - 12x + 11
g (x) = 6(x - 1)² + k
Dalyn would like to find a value of a k such that both f(x) and g(x) model the same graph. Help Dalyn solve for the value of k so both functions will represent the same graph.
Answer:
In order that both functions to represents the same (one) graph then the value of k is 5
Step-by-step explanation:
The given functions are;
f(x) = 6·x² - 12·x + 11
g(x) = 6·(x - 1)² + k
Expanding the function g(x) gives;
6·(x - 1)² + k = 6 × (x² - 2·x + 1) + k = 6·x² - 12·x + 6 + k
∴ 6·(x - 1)² + k = 6·x² - 12·x + 6 + k
Comparing with the function for f(x), we have;
f(x) = 6·x² - 12·x + 11
g(x) = 6·(x - 1)² + k = 6·x² - 12·x + 6 + k
The difference between the two functions is the constant term, which are;
Constant term for f(x) = 11
Constant term for g(x) = 6 + k
For the two terms to describe exactly the same graph, the constant term should also be equal
We will then have, 11 = 6 + k
∴ k = 11 - 6 = 5
k = 5
For both functions to represent the same graph the value of k = 5.
HELP PLZ DUE IN 30 MINUTES The Multiplication of Polynomials
Answer:
(x-1)(x^3+4x^3-1)=(x-1)(5x^3-1)
Step-by-step explanation: