Answer:
Step-by-step explanation:
s + at = F
at = F - s
t = (F - s)/a
x/a + y/b = 1
x/a = 1 - y/b
a(x/a = 1 - y/b)
x = a - ay/b
Inverse function f(x)= -3/5x -3
Answer:
f(x)⁻¹ = -5/3x - 5
Step-by-step explanation:
y = -3/5x - 3
x = -3/5y - 3
x + 3 = -3/5y
(x + 3)(-5/3) = y
-5/3x - 5 = y
Write an expression to represent a circle's area in terms of its diameter, d .
Answer:
(d/2)^2 pi
Step-by-step explanation:
To find the area of a circle the formula is A=pi times radius sqaured. Since we do not have the radius we need to find it. The radius will always be half the diameter hence the (d/2). This will give us the radius, next is just to complete the area formula by squaring the radius and multiplying it by pi. i hope this helps :)
The circle's area, in function of it's diameter, is given by:
[tex]A = \frac{\pi d^2}{4}[/tex]
----------------------
The area of a circle, in function of it's radius r, is given by:[tex]A = \pi r^2[/tex]
The radius is half the diameter, thus: [tex]r = \frac{d}{2}[/tex]Replacing [tex]r = \frac{d}{2}[/tex] into the formula for the area, it is possible to find the area as a function of the diameter. Thus:[tex]A = \pi r^2[/tex]
[tex]A = \pi (\frac{d}{2})^2[/tex]
[tex]A = \pi \frac{d^2}{4}[/tex]
[tex]A = \frac{\pi d^2}{4}[/tex]
Which is the area of a circle of diameter d.
A similar problem is given at https://brainly.com/question/16891462
why isn’t -3/5 a integer? answer asap please
Answer:
integers contain 0, all negative and +ve whole number!!
Since -3/5 is not a whole number so not an integer!
Step-by-step explanation:
Use expressions for even integers to show that the product of two even integers is an even integer.
Answer:
Step-by-step explanation:
The product of two even numbers is even.
Let m and n be any integers so that 2a and 2b are two even numbers.
The product is 2a(2b) = 2(2ab), which is even.
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
4
6
y = f(2 + 1) + 4
y = f(x - 1) - 4
Submit Answer
y=f(x - 1) + 4
y = f(x + 1) - 4
Using translation concepts, it is found that the dotted graph is given by:
f(x - 1) - 4
------------------
For function f(x), the solid line, it has a zero at x = -1, while the dashed line has a zero at x = 0, which means that it was moved 1 unit to the right, thus f(x - 1).The dashed line is also below the function f(x), so 4 was subtracted, thus f(x - 1) - 4.A similar problem is given at https://brainly.com/question/18405655
Explain or give your reasoning as to why x^0=1.
Answer:
Any number raised to the zeroth power is equal to 1.
Step-by-step explanation:
x^0=1 is a number raised to the zeroth power so it is automatically equal to 1.
The coefficient of the term y is 0.
Answer:
no it is 1
Step by step instructions:
since there is no number for y it will be one
A two digit number becomes 5/6 of the reversed number when the digits are interchanged the difference between the digits is 1 find the number.
Friends plz helpe plz plz plz
I want answer with full explanation
I will mark him as brainliest
Answer:
Original number = 54
Reversed number = 45
Step-by-step explanation:
Let the tens place digit be x and unit's place digit be y.
Therefore, required no. = 10x + y
Number obtained after interchanging the digits = 10y + x
According to the given condition:
[tex]10y+ x = \frac{5}{6} (10x + y) \\ 6(10y + x) = 5(10x + y) \\ 60y + 6x = 50x + 5y \\ 60y + 6x - 50x - 5y = 0 \\ 55y - 44x = 0 \\ 11(5y - 4x) = 0 \\ 5y - 4x = 0.....(1) \\ according \: to \: the \: second \: condition \\ x - y = 1 \\ x = y + 1....(2) \\ from \: equations \: (1) \: and \: (2) \\ 5y - 4(y + 1) = 0 \\ 5y - 4y - 4= 0\\ y - 4 = 0 \\ y = 4 \\ substituting \: y = 4 \: in \: equation \: (2) \\ x = 4 + 1 \\ x = 5 \\ \\ 10x + y = 10 \times 5 + 4 = 50 + 4 = 54 \\ 10y + x = 10 \times 4 + 5 = 40 + 5 = 45 \\ [/tex]
Jan is x years old, her sister is twice as old as her, and her brother is three times older than her. Their ages add up to 29. How old is each sister?
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
Step-by-step explanation:
Jan's age = x years
Sister's age = 2x years
Brother's age = 3x years
According to the given condition:
x + 2x + 3x = 29
6x = 29
x = 29/6
x = [tex] 4\frac{5}{6}[/tex] years
2x = [tex] 2\times \frac{29}{6}= \frac{29}{3}=9\frac{2}{3} \: years[/tex]
Therefore,
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
Simplify 7√300
With work
Answer:
70 [tex]\sqrt{3}[/tex]
Step-by-step explanation:
300
6 50
| \ | \
2 3 5 10
| \
5 2
2×5=10
10×7=70
70[tex]\sqrt{3}[/tex]
Answer:
70√3
Step-by-step explanation:
7√300 =
7√100*3
7√10*10*3 (√100=√10²=10)
7*10√3
70√3
P;ease help me with this question, please get it right, i only have 1 chance for it, Volume of prism
Answer:
16.295
Step-by-step explanation:
How do you solve this question: what is the difference between (2,5) and (2,0) without using a coordinate plan graph?
Answer: (2,5) is 5 units above (2, 0)
Step-by-step explanation: The first point has a 5 in the y-axis (up and down) while the second point is on the x-axis
Can someone please help me
This isn't an answer, rather a suggestion.
I would use the website desmos to help you out. But it won't help you forever like when you do quizzes or tests.
Directions:
Make the variable "y" all by itself. It need to be solo. For example for problem 34, negate 3 on each side and you will have "y=1/2(x+2)+3".
From there, plug in numbers into the x variable. (I suggest using common factors of "2" since the number your multiplying is 1/2.
Again using 34,
y=1/2(x+2)+3
y=1/2(2+2)+3
y=1/2(2+2)+3
y=1/2(4)+3
y=2+3
y=5
The coordinates are (2,5). Plot the coordinate.
Repeat the process.
Find the sum of first 20 terms of the arithmetic series in which 3rd term is 7 and 7th term is 2 more than three times its 3rd term.
Answer:
740
Step-by-step explanation:
Let the AP be a, a+d, a+2d, a+3d, ...
The term of AP is given by:
[tex]t n =a+(n-1)d[/tex]
We are given that the third term is 7.
[tex]t 3=7[/tex]
⇒ [tex]a+(3-1)d=7[/tex]
⇒[tex]a+2d=7 ---(1)[/tex]
Also, the seventh term is 2 more than three times the third term.
[tex]t7=3t3+2[/tex]
⇒[tex]a+ (7-1)d=3(a+(3-1)d)+2[/tex]
⇒[tex]a+6d=3(a+2d)+2[/tex]
⇒[tex]a+6d=3a+6d+2[/tex]
⇒[tex]-2a=2[/tex]
⇒[tex]a=-1[/tex]
We can put it in (1)
[tex]a+2d=7[/tex]
⇒[tex](-1)+2d=7[/tex]
⇒[tex]2d=8[/tex]
⇒d=4
Now, the Sum of n terms of an AP is given by the formula:
[tex]sn=\frac{n}{2}(2a+(n-1)d)[/tex]
So, Sum of first 20 terms would be:
[tex]s 20=\frac{20}{2}(2(-1) +(20-1) x 4)[/tex]
⇒[tex]s20=10(-2+19 x 4)[/tex]
⇒[tex]s 20=10 x(-2+76)[/tex]
⇒[tex]s 20= 10 x 74[/tex]
⇒[tex]s 20=740[/tex]
Thus, The Sum of first 20 terms of the AP is 740.
you have already read 117 pages of a book you are one third of the way through the book write and solve an equation to find the number of pages in the book
Answer:
1/3=117......117x3=351
Step-by-step explanation:
/ is my fraction sign btw
the answer is 351!!
There are four movies showing at the movie theatre. 2/3 of the people bought comedy, 1/4 bought tickets for horror movie, and 3/10 bought tickets for the kids movie what fraction represents the number of people who bought tickets for the action movie
Answer:
The fraction of people for 4th movie is 0.1167
Step-by-step explanation:
The number of people that bought a comedy movie ticket = 2/3
The number of people that bought the horror movie ticket = 1/4
The number of people that bought kids movie ticket = 3/10
Total number people for three movies = 2/3 + ¼ + 3/10 = 0.8833
The fraction of people for 4th movie = 1 – 0.8833 = 0.1167
Which of the following number(s) are rational? Select all that apply.
2.323232...
2.32222...
2.323148...
-2.3
-2.3
Answer:
2.323232…
2.32222…
-2.3
Negative 2.ModifyingAbove 3 with bar
Step-by-step explanation:
-2.3 is the rational number among the given options.
What is Number system?A number system is defined as a system of writing to express numbers.
Rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Any decimal number can be either a rational number or an irrational number, depending upon the number of digits and repetition of the digits.
Any decimal number whose terms are terminating or non-terminating but repeating then it is a rational number
In the given decimal numbers 2.323232..., 2.32222... 2.323148... and -2.3.
The first three decimal numbers are irrational because it is not terminating and -2.3 is rational.
Hence, -2.3 is the rational number among the given options.
To learn more on Number system click:
https://brainly.com/question/22046046
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can yall help me solve this (3b^3 + 2b^2 + 4b +5) +(9b+9) example this is 3b to the power of 3 just saying (if that even made any sense) BUT PLZ HELPPPP
3b^3+2b^2+13b+14
Just add like terms
If u have any questions just ask
Point Tis on line segment SU. Given ST = 9 and TU
SU.
= 7, determine the length
Answer:
Line SU is 16
Step-by-step explanation:
ST + TU = SU
7 + 9 = 16
You add 9 and 7 to get 16.
what is the answer for this question and how do i solve it?
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
Given
[tex]\frac{16-4(5)}{2(6)+8}[/tex] + [tex]\frac{2}{3}[/tex]
= [tex]\frac{16-20}{12+8}[/tex] + [tex]\frac{2}{3}[/tex]
= [tex]\frac{-4}{20}[/tex] + [tex]\frac{2}{3}[/tex]
= - [tex]\frac{1}{5}[/tex] + [tex]\frac{2}{3}[/tex]
We require the fractions to have a common denominator of 15
Multiply the numerator/ denominator of - [tex]\frac{1}{5}[/tex] by 3 and
Multiply the numerator/ denominator of [tex]\frac{2}{3}[/tex] by 5
= - [tex]\frac{3}{15}[/tex] + [tex]\frac{10}{15}[/tex]
= [tex]\frac{7}{15}[/tex]
3(y+6)+5(2–4y)
Combining like terms
Answer:
[tex]28-17y[/tex]
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)[/tex]
Expanding:
[tex]3y+18+10-20y[/tex]
[tex]28-17y[/tex]
Answer:
-17y+18
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)\\= (3*y + 3*6) + (5*2 - 5*4y)\\= 3y + 18 + 10 - 20y\\= -20y + 3y +18 +10\\=-17y+28[/tex]
Which of these tables represents a linear function?
Plz Hurry
A work shift for an employee at a restaurant consists of 8 hours. What fraction of the employee's work shift is represented by 6 hours? (Simplify your answer.)
Answer:
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
Step-by-step explanation:
The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:
[tex]x = \frac{6\,h}{8\,h}[/tex]
[tex]x = \frac{6}{8}[/tex]
[tex]x = \frac{3}{4}[/tex]
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
What’s the output of f(x)=-3/2x+2
Answer:
Step-by-step explanation:
Evaluate5− t/3 when t=12
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = 5 - 4 = 1[/tex]
or
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = \frac{15 - 12}{3} = \frac{3}{3} = 1 [/tex]
Hope this helps ;) ❤❤❤
solve the following equation show your work 3{-x + (2x + 1)} = x - 1
Answer:
x = -2
Step-by-step explanation:
For this problem, we must simply solve for x. To do this, we will need equation operations, and the use of the distributive property.
Let's work this line by line until we have the value for x:
3{-x + (2x + 1)} = x - 1
3*-x + 3*(2x + 1) = x - 1
-3x + 6x + 3 = x - 1
3x + 3 = x - 1
2x = -4
x = -2
Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:
3{-x + (2x + 1)} = x - 1
3{-(-2) + (2(-2) + 1)} ?= (-2) - 1
3{2 + (-4 + 1)} ?= -3
3{2 + (-3)} ?= -3
3{-1} ?= -3
-3 == -3
Thus, we have found the solution for x to be equivalent to negative 2.
Cheers.
Answer:
x = - 2Step-by-step explanation:
3{-x + (2x + 1)} = x - 1
First solve the terms in the bracket first
That's
3 (- x + 2x + 1 ) = x - 1
3( x + 1) = x - 1
Expand the terms in the bracket
We have
3x + 3 = x - 1
Simplify
3x - x = - 1 - 3
2x = - 4
Divide both sides by 2
We have the final answer as
x = - 2Hope this helps you
Fives times the difference of
a number and 3 is 25
Answer:
24
Step-by-step explanation:
multiples for 3=3,6,9,12,15,18,21,24
Multiples for 8=8,16,24
The first one that matches for both is 24
Answer: 8
Step-by-step explanation:
if n represents the number:
5(n - 3) = 25
(distribute)
5n - 15 = 25
(add 15 to both sides)
5n = 40
(divide both sides by 5 to isolate "n")
n = 8
cosA×cos2A+sinA×sin2A=cos (2A-A)
Answer:
csc
A
, as desired!
Step-by-step explanation:
cos
2
A
sin
A
+
sin
2
A
cos
A
,
=
cos
2
A
cos
A
+
sin
2
A
sin
A
sin
A
cos
A
,
=
cos
(
2
A
−
A
)
sin
A
cos
A
,
=
cos
A
sin
A
cos
A
,
=
1
sin
A
,
=
csc
A
, as desired!
Si la medida de un ángulo exterior es el cúadruple de la medida de un ángulo interior de un polígono regular, encuentra la suma de dichas medidas.
Answer:
dos palabras viva el tequila
Step-by-step explanation:
atu vieja se lo voy a meter xd xd xd xd xd xd xd xd xd xd xd xd
6x(2)y +8xy(2) - 10x(2)y - 15xy + 9xy(2) simplify
Answer:
-4x²y + 17xy² - 15xy
Step-by-step explanation:
Step 1: Write out expression
6x²y + 8xy² - 10x²y - 15xy + 9xy²
Step 2: Combine like terms (x²y)
-4x²y + 8xy² - 15xy + 9xy²
Step 3: Combine like terms (xy²)
-4x²y + 17xy² - 15xy