Answer:
[tex] 2 \dfrac{1}{4} [/tex]
Step-by-step explanation:
[tex] -5 \dfrac{1}{2} + 7 \dfrac{3}{4} = [/tex]
[tex] = -5 \dfrac{2}{4} + 7 \dfrac{3}{4} [/tex]
[tex] = 7 \dfrac{3}{4} - 5 \dfrac{2}{4} [/tex]
[tex] = 2 \dfrac{1}{4} [/tex]
A 12 ft ladder leans against a wall so that the base of the ladder is 5 ft from the wall How high, to the nearest foot, up on the wall will the ladder reach?
Answer: 10.9, about 11 ft
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + (5)^2 = (12)^2
Answer:
The ladder is the hypotenuse and one side equals 5 feet.
From the Pythagorean Theorem we can calculate the other side:
other side^2 = 12^2 -5^2
other side^2 = 144 -25
other side^2 = 119
other side = 10.9087121146
Rounding, we get 11 feet.
Step-by-step explanation:
if f(x) = 2x/x-5
find f-1(x)
Answer:
5x/x-2
Step-by-step explanation:
rewrite it as x=2y/y-5 to make y the subject
multiply by (y-5) on both sides to get x(y-5)=2y
simplify x(y-5)=2y to get xy - 5x = 2y.
in order to get y as a subject you would need to move all the (y)s to one side.
Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.
Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2
Sorry if this is confusing but this is me explaining how my thought process works for this question.
The inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
What is inverse of function? What is a mathematical equation? What do you mean by domain and range of a function?In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is f(x) = 2x/(x - 5)
We have -
y = 2x/(x - 5)
replace [x] with [y] as -
x = 2y/(y - 5)
Solving for y -
y/(y - 5) = x/2
(y - 5)/y = 2/x
(y /y - 5/y) = 2/x
(1 - 2/x) = 5/y
y = 5/(1 - 2/x)
f⁻¹(x) = 5/(1 - 2/x)
Therefore, the inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
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The price of a pair of shoes increase from $65 to $68 What is the percent increase to the nearest percent
Answer:
4.61% increase (round up as needed)
Step-by-step explanation:
Subtract the smaller amount from the larger to find the dollar difference
[tex]68-65=3[/tex]
Then divide the difference by the original amount
[tex]3/65=0.0461[/tex]
Move the decimal point over two spaces (multiply by 100) to get your percentage
0.0461=4.61%
Round up as needed.
Please help!! 20 points!!! I don’t know if is d....
Hi! during this pandemic it's kind of hard to learn math over the screen. no one is willing to help since my teachers are busy and my mom is confused. I Don't have friends to go to who could help me..So i'm hoping someone here could help! ...!!i cropped it so you could see better..Thanks!
Answer:
a) c=33.5
I'll try my best to explain and help you out here! online school sucks, I hope you get the hang of it soon!
Step-by-step explanation:
Simplify both sides of the equation.
c(5)=(35.5)(5)−10
5c=177.5+−10
5c=(177.5 + −10) (Combine Like Terms)
5c=167.5
Divide both sides by 5.
5c/5 = 167.5/5
c=33.5
I'm not entirely sure about the second question but I'll try to figure it out and let you know!
The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
solve the inequality 9-12>-13
A. q>1
B. q>-1
C. q>25
D. q>-25
Answer:
C
Step-by-step explanation:
?????????????????????????????
Answer:
92°=180°/y° I think this is correct
PLS HELP ASAP
Use a graph to solve the following
243=3^x+^3
Answer:
They all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x=5
hope this helps !!:)
Step-by-step explanation:
which expression is equivalent to (3a+7) (2a-5)?
If you want me to simplify this is the answer.... 6a^2-a-35
y = -2/3 x in standard form
Answer: y = -2/3x in standard form is 2x + 3y = 0
Answer:
x + y = -2/3
Step-by-step explanation:
When changing something to standard form, you want all variables on one side, and the remaining numbers gone.
Which answer choice describes y = -3x2 +7x - 2 accurately?
Answer:y = y = -7x
Step-by-step explanation: y - 14 = -7(x - (-2))
y - 14 = -7x - 14
Pls help me. It due ASAP...
Answer:
b
Step-by-step explanation:
The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.
Answer:
[tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]
The width of the easement is [tex]x\ \text{ft}[/tex]
Buildable area 140 ft by 64 ft
[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]
The width of the easement is [tex]5\ \text{ft}[/tex].
ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
What is the volume of a cylinder with a diameter of 12 m and a height of
27 m. Remember, d=2r.
Answer:
3053.63m³
Step-by-step explanation:
use a calculator, not brainly
Pls help and show workings due ASAP
find the value of the expression below x=2 3x
If x = 2y + 3 and 4x – 5y = 9, what is the value of y?
Answer:
Step-by-step explanation:
y=-1 ans.
x=2*-1=3
x=-2+3
x=1 ans.
Proof:
4*1-5*-1=9
4+5=9
9=9
Answer:
9
Step-by-step explanation:
Help. What is the length of EF in the right triangle below.
Answer:
A
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to find EF
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
EF² + DF² = DE² ← substitute values
EF² + 12² = 18², that is
EF² + 144 = 324 ( subtract 144 from both sides )
EF² = 180 ( take the square root of both sides )
EF = → A
plz help, I need help
Answer:
Answer is A
Step-by-step explanation:
because 2 × $11.50 is for adult tickets
$8 × 4 is for childrens tickets
and the equation would represent the total cost
All squares are also rhombuses.
True or false
Answer:
true
Step-by-step explanation:
Cause if you draw a square and turn it, its gone be a rhombus
Answer:
True
Step-by-step explanation:
Copy the expressions which are polynomials. Give reasons why the remaining are
not polynomials.
a)3x-2
b)p^2+1/p
c3y^2-2y/3+1
Answer: a and c are polynomials, b is not.
Step-by-step explanation:
A polynomial p(x) is written as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀*x⁰
where x is the variable, and the numbers aₙ, aₙ₋₁, ..., a₁, a₀ are the coefficients of the polynomial, such that aₙ is the leading coefficient, and the value of n (always a natural number) is the degree of the polynomial.
Notice that the powers need to be always natural numbers.
Now, let's analyze the options:
a) 3*x - 2
We can rewrite this as:
3*x¹ - 2*x⁰
Then this is a polynomial.
b) p² + 1/p (in this case the variable is p)
the second term can be written as:
1/p = p⁻¹
Then we have a term with a negative power of p, this means that this is not a polynomial.
c) 3*y² - 2*y/3 + 1
Same as in the first case, we can rewrite this as:
3*y² - (2/3)*y¹ + 1*y⁰
This is a polynomial.
If it takes eight men ten hours to build a wall, how long would it take four men?
Answer:
20 bc if 8 men took 10 hours then 4 men would take double the time
Answer:
ha ha is it math question seriously or riddle if riddle the wall is already built by men they non time is taken by men.
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relationship? What does it represent? Write an equation to represent this situation.
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
What time is shown on this clock
Answer: around i believe 10:35
Step-by-step explanation:
Answer:
its 10:20
Step-by-step explanation:
Can someone please help me?
What is the reciprocal of
1 1/2?
Answer:
2/3
Step-by-step explanation:
What is the y intercept of the following equation 3x-2y=4
Answer:
(0, -2)
i am pretty sure this is the answer