Rational algebraic expressions are expressions that can be represented as a quotient of two polynomials.
The result of the expressions are:
[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]
[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]
[tex]\mathbf{(a)\ \frac{5x}{3x - 9};\ x = 4}[/tex]
First, we substitute 4 for x
[tex]\mathbf{\frac{5x}{3x - 9} = \frac{5 \times 4}{3 \times 4 - 9}}[/tex]
Evaluate all products
[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{12 - 9}}[/tex]
Subtract
[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]
[tex]\mathbf{(b)\ \frac{y^2 + 4y + 1}{y^2- 1};\ y =-2}[/tex]
First, we substitute -2 for y
[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{(-2)^2 + 4 \times (-2) + 1}{(-2)^2- 1}}[/tex]
Evaluate all products and exponents
[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{4 -8 + 1}{4- 1}}[/tex]
Subtract
[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{-3}{3}}[/tex]
[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]
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The cargo of the truck weighs no more than 2,600 pounds.
Use w to represent the weight (in pounds) of the cargo.
Answer:
w ≤ 2,600
Step-by-step explanation:
w is less than or equal to 2,600
what is the aswer ??????
Answer:
A prime number is one which can be divided only by itself
please give brainliest
Answer:
The correct statement is A prime number are numbers which have only two factor.
Explanation:
Hope it helps you..
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HELP PLEASE WILL MARK BRAINLIEST TO BEST ANSWER
Answer:
a
Step-by-step explanation:
Answer:
c. (3x)^2
Step-by-step explanation:
I need help with math, giving 15 points! (And brainiest)
Answer:
C
Step-by-step explanation:
3x + y + x - 6 + y
3x + x + y + y - 6
4x + 2y - 6
Answer:
c
Step-by-step explanation:
expression c is
3x + y + x - 6 + y ← collect like terms
= 3x + x + y + y - 6
= 4x + 2y - 6
5d+50=400
help me fine the answer
Answer and Step-by-step explanation:
We have to solve for d.
First, we can divide each value by 5 (due to each value being divisible by 5).
d + 10 = 80
Subtract 10 from both sides of the equation.
d = 70 <-- This is your answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer:
[tex]\boxed{\sf d=70}[/tex]
Step-by-step explanation:
[tex]\sf 5d+50=400[/tex]
[tex]\boxed{\sf {Subtract\:}50\sf {\:from\:both\:sides}}[/tex]
[tex]\sf 5d+50-50=400-50[/tex][tex]\sf 5d=350[/tex][tex]\boxed{\sf \sf {Divide\:both\:sides\:by\:}5}[/tex]
[tex]\sf \cfrac{5d}{5}=\cfrac{350}{5}[/tex][tex]\sf d=70[/tex]____________________________
PLS HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
a air balloon is at a height of 2,520 feet. it begins to descend at the rate of 140 feet per minute.
1.Write an expression to model its height after x minutes
Answer: 2,520 - 140x
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
After x minutes, the balloon will be descended to :
[tex]2520 - 140x[/tex]Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Which expression is equivalent to (2x^4+8x^3-25x^2-6x+14)÷(x+6)
(1). 2x^3+4x^2+x-12 + (86/(x+6))
(2). 2x^3-4x^2-x+14
(3). 2x^3-4x^2-x + (14/(x+6))
(4). 2x^3-4x^2-x
Answer:
Here is your Answer
(3.) 2x^3-4x^2-x + (14/(x+6))
Step-by-step explanation:
The expression for the division of polynomials is obtained as (2x³- 4x²- x) + 14/(x + 6).
What is remainder theorem for polynomials?The remainder theorem states that that when a polynomial p(x) is divided by another polynomial x + a, then the remainder obtained is given as the value of the polynomial at x = -a which is written as p(-a).
The given problem can be solved by remainder theorem as follows,
Suppose p(x) = 2x⁴ + 8x³- 25x²- 6x + 14.
Now, when p(x) is divided by x + 6, the remainder is given as,
p(-6) = 2 × -6⁴ + 8 × -6³ - 25 × -6² - 6 × -6 + 14
⇒ p(-6) = 14
Thus, by division lemma the following equation can be written as,
2x⁴ + 8x³- 25x²- 6x + 14 = (x + 6)(2x³- 4x²- x) + 14
⇒ (2x⁴ + 8x³- 25x²- 6x + 14) ÷ (x + 6) = (2x³- 4x²- x) + 14/(x + 6)
Hence, the equivalent expression is given as (2x³- 4x²- x) + 14/(x + 6).
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hiiiiiii CAN U HELP ME PLS ILL GIVE BRAINLIEST 5 STARS AND A THANKS I HAD A ROUGH DAY AND MY BRAIN WONT WORK :C SORRY THERES NOT A LOT OF POINTS!
Answer:
m = 55
Step-by-step explanation:
Choose 2 ordered pairs on the number line; i chose (0,125) and (2,235)
The formula for slope (m) is m = y2 - y1 / x2 - x1
In this problem, it would be:
m = 235 - 125 / 2 - 0
m = 110/2
m = 55
hope this helps <3
Drag and drop the fractions to order them from least to greatest. -3/7 1/4 -4/5 2/3
Answer:
-4/5, -3/7, 1/4, 2/3
Step-by-step explanation:
The last one is the greatest as a positive but because it's both the greatest positive but a negative it is the smallest. Since 2/3 is closest to 1 and is positive it would be the greatest. -3/7 is a smaller value than 1/4 as it's closer to 0 than 1/4 is.
It says Muhammad bought flat, rectangular land with a circumference of 40 meters and wanted to plant it with wheat. What is the largest area of land that Muhammad can cultivate with wheat?
Determine the largest integer value x can have the inequality below. 3(2x - 5) - 2 < 2x + 4 + x
Step-by-step explanation:
First you will have to deal with the bracket by multiplying the numbers in it by 3.Group into like terms.divide both sides by the coefficient of x.Find the domain of the graphed function.
please help
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is :
C.) x > 0
Consider the diagram below.
What is the value of x?
A. 61°
B. 68°
C. 112°
D. 119°
next term in each sequence 1,4,20,120,...
Answe840 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
840 is the correct answer
Find the slope and the y-intercept of the graph of the linear equation.
y = 4x - 7
What are the slope and Y-intercept of the graph of the linear function shown on the grid?
Answer:
Slope = 2 and y-intercept = 8
Step-by-step explanation:
Use slope formula
m=y2-y1/x2-x1
m=16-12/4-2
m=4/2
Simplify
m=2
To find the y-intercept use point slope formula
y-y1=m(x-x1)
y-12=2(x-2)
y-12=2x-4
Add 12 to both sides
y=2x+8
So, 8 is the y-intercept or (0,8)
Find the circumference of this circle
The model represents an equation:
In:
What is the solution?
Answer: -2.25 = x
Step-by-step explanation:
The model represents the equation:
-1(6) = 4x + 1(3)
-6 = 4x + 3
SUBTRACT 3 FROM BOTH SIDES
-9 = 4x
DIVIDE BOTH SIDES BY 4
-2.25 = x
What is the height of cylinder b
Im sorry for taking your points i did not know you where new to the platform
i forgive you
Step-by-step explanation:
(2*PI*r_A*h_A) /(2*PI*r_*h_B)=440/3960
r_B=n*r_A,h_B=n*r_A
then n=3
r_A=10
then r_B=30
Pls help will give brainly
Answer:Group
Step-by-step explanation:
Vertical is group and horizontal is period
Answer: Group
Step-by-step explanation:
How can you find the reciprocal of 16?
Answer:
Reciprocal of 16 is 1/16 because 16/1 and his reciprocal is 16/1.Step-by-step explanation:
Hope this helps!
plz help.
Autobiography of indian mathematician Aryabhatta
will mark brainlist if the answer is correct : )
Aryabhata, also called Aryabhata I or Aryabhata the Elder, (born 476, possibly Ashmaka or Kusumapura, India), astronomer and the earliest Indian mathematician whose work and history are available to modern scholars. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name. He flourished in Kusumapura—near Patalipurta (Patna), then the capital of the Gupta dynasty—where he composed at least two works, Aryabhatiya (c. 499) and the now lost Aryabhatasiddhanta.
Aryabhatasiddhanta circulated mainly in the northwest of India and, through the Sāsānian dynasty (224–651) of Iran, had a profound influence on the development of Islamic astronomy. Its contents are preserved to some extent in the works of Varahamihira (flourished c. 550), Bhaskara I (flourished c. 629), Brahmagupta (598–c. 665), and others. It is one of the earliest astronomical works to assign the start of each day to midnight.
Mark as brainlist ❤️❤️Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. The work was written in verse couplets and deals with mathematics and astronomy. Following an introduction that contains astronomical tables and Aryabhata’s system of phonemic number notation in which numbers are represented by a consonant-vowel monosyllable, the work is divided into three sections: Ganita (“Mathematics”), Kala-kriya (“Time Calculations”), and Gola (“Sphere”).
What is the area of triangle DEF
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
[tex]\frac{4}{34}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
Help me please I’ll reward you with brainily
Answer:
The best answer I could guess is C
Step-by-step explanation:
11/9 is the smallest number, sqrt of 5 is 2.2, sqrt of 11 is 3.3, sqrt of 20 is 2*sqrt 5, than 2^3 is the greatest number.
Solve: what’s the value of the question mark?
PLEASE TELL ME THE ANSWER TO THIS
Answer:
?=12
Step-by-step explanation:
8÷2=4
4•3=12
i think 26 or 15/30 (note) sorry if you got it wrong
[tex]5^{3}[/tex] = _____
Answer:
[tex] {5}^{3} = 5 \times 5 \times 5 = 125[/tex]
I hope I helped you^_^
Find a counterexample to this
conjecture. If a quadrilateral has two pairs of congruent sides, it is a parallelogram.
Answer:
trapezoid
Step-by-step explanation:
For a quadratic in standard form f (x) = ax² + bx +e with
vertex (h,k), determine the indicated values.
For a general quadratic equation, we want to find the equations for the vertex (h, k).
The values of the vertex are:
h = -b/(2*a) k = f(h) = b^2/(4a) - b^2/(2a) + cWe start with the general quadratic equation:
f(x) = a*x^2 + b*x + c
To find the x-value of the vertex (h in this case) we need to find the zero of the first derivate of f(x) (because the vertex is a minimum/maximum of the function).
We have:
f'(x) = 2*a*x + b
We solve:
f'(h) = 0 = 2*a*h + b
-b/(2*a) = h
So we just found the value of h.
To find the value of k, the y-value of the vertex, we need to evaluate the function in the x-value of the vertex, we will get:
k = f(h) = a*( -b/(2*a))^2 + b*( -b/(2*a)) + c
k = b^2/(4a) - b^2/(2a) + c
Then, concluding, we have:
h = -b/(2*a) k = f(h) = b^2/(4a) - b^2/(2a) + cIf you want to learn more, you can read:
https://brainly.com/question/8552341
What is 0.12 as a fraction?
Answer:
3/25
Step-by-step explanation:
12/100
= 6/50
= 3/25
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