Answer:
If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable y .
y ≈ 2.45043159
Step-by-step explanation:
The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.
expression (y⁴ - 81) / (y - 3)
by simplification
factoring the numerator
y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)
factoring the denominator
y - 3
we get, (y² - 9)(y² + 9) / (y - 3)
simplifying
(y² - 9) = (y - 3)(y + 3)
(y - 3)(y + 3)(y² + 9) / (y - 3)
(y + 3)(y² + 9)
learn more about numerator here
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Stephen can type 70 words a minute.
How many words can be typed in 1.5 minutes?
Answer:
105 words
Step-by-step explanation:
1/2 of 70 = 35
70+35=105
Answer:
105
Step-by-step explanation:
I think 105 bc I just multiply it
Which phrase describes the algebraic expression 6x?
Answer:
Six times a number
Step-by-step explanation:
X can be referred to as a number and the expression is multiplying it by six so you can say six times a number.
Answer:
The product of 6 and a number, or also C
Step-by-step explanation:
✨ E d g e n u i t y✨
The result of a multiplication operation is called a product. The multiplication of whole numbers may be thought of as a repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier.
What is the area or the front side of the house
please help! thank you
Solve for x.
Here is the set up:
11x - 2 = 75
Take it from here.
Answer:
7
Step-by-step explanation:
11x-2=75
11x=77
x=7
explanation:
The given information lets us know that 11x-2 is equal to 75 because it is corresponding with the top left exterior angle.
BD bisects m m Find m
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
[tex]m\angle ABC = 77.2^\circ[/tex]
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
[tex]m\angle ABD=m\angle CBD[/tex]
Substituting the algebraic expressions for both angles:
[tex]2.5x + 8.6=3.5x - 3.4[/tex]
Subtracting 8.6 and 3.5x:
[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]
Operating:
[tex]-x = -12[/tex]
[tex]x = 12[/tex]
The two angles are:
[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]
[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]
[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]
Answer two questions about Systems A and B:
System A System B
−4x−6y=9 −4x−6y=9
3x+y=−4 −x−5y=5
1) How can we get System B from System A? Choose 1 answer:
A. Replace only the right-hand side of one equation with the sum/difference of the right-hand sides of both equations.
B. Replace one equation with the sum/difference of both equations.
C. Swap only the left-hand sides of both equations.
D. Swap the order of the equations.
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution? Choose 1 answer:
(Choice A)
Yes
(Choice B)
No
please actually answer and ill give brainly thank you :) !
Answer: In khan academy, the answer is Replace one equation with sum/difference of both equations.
Sasha's mom is ordering food trays for Sasha's elementary school graduation party. Banquet Brothers sell a tray with 48 servings of pasta for $60. Cookin' Catering sells a tray with 30 servings of pasta for $72. Which company has the better deal?
Answer: Banquet Brothers has better deal.
Step-by-step explanation:
Given: Banquet Brothers sell a tray with 48 servings of pasta for $60.
Cost per serving = [tex]\$\dfrac{60}{48}=\$\dfrac{5}{4}=\$\ 1.25[/tex]
Cookin' Catering sells a tray with 30 servings of pasta for $72.
Cost per serving = [tex]\$\dfrac{72}{30}=\$\ 2.4[/tex]
Since, Cost per serving in Banquet Brothers < Cost per serving in Cookin' Catering
So, Banquet Brothers has better deal.
What is the equation of a line that passes through the points (3,6) and (8, 4)?
Answer:
y=-2/5x+36/5
Step-by-step explanation:
. Katie withdrew a total of $300 from her bank account over the last 5 weeks. How much money did she withdraw each week? Write a division problem and then find the answer.
Answer:
300/5=60
Step-by-step explanation:
GUYS CAN YOU PLS HELP M EILL GIVE YOU BRANLIEST
Answer:
Mother nature
Step-by-step explanation:
grocery: 3.5/7= 0.5
sullivan`s: 1/10 / 1/5 = 1/2 = 0.5
mother: 4.00/10= 0.4
farmers 0.45
Answer:
Hm im not sure be I think it should be B.
Step-by-step explanation:
Make y the subject:
X =
4y - 3
5
(DOK 2)
Select one:
Answer:
A
Step-by-step explanation:
5x/4+3=y is the answer
Using the divisibility rules, explain why 678 is divisible by 2, 3, and 6.
Answer:
678
678 is even, so it's divisible by 2
6+7+8 = 21, which is divisible by 3, so 678 is divisible by 3
Since 678 is divisible by both 2 and 3, it has to be divisible by 6
Step-by-step explanation:
The gas tank holds a total of 15 gallons of gas.how many miles can the car travel with a full tank of gas
Answer:
....
Step-by-step explanation:
Answer:
If the car gets 30 in city miles per gallon it (MPG) would be 30×15 which would be 450 miles. If its a sportier car like the Chevrolet Camaro ZL1 which gets close to 18 miles per gallon (MPG) it would be 18×15 which would be 270 miles. There is also highway miles where a standard car would get about 40 or more miles per gallon (MPG) 40×15 which would be 600 Miles. For a car like the Toyota Prius which gets 50-58 miles per gallon (MPG) in a city but 48-53 miles per gallon 58×15=870 miles and 53×15=795 miles. It depends on the car's engine, tuning, transmission, aerodynamics, etc.
Step-by-step explanation:
Different cars get different miles per gallon (MPG).
(x3x²+2) (3x² 42x-4)
Answer:
3x242x-4
2(363x-2)
726x-4 the answer
Step-by-step explanation:
because this is the answer
sana nakatulong
-x + y = 2
3х – 5у = -4
solve the system of linear equation by substitution
Which shows the following numbers ordered from greatest to least?
0.5, 5/8, 65%, 3/5
A. 3/5, 5/8, 0.5, 65%
B. 0.5, 3/5, 5/8, 65%
C. 65%, 3/5, 0.5, 5/8
D. 65%, 5/8, 3/5, 0.5
I assume it's D, but I'm not fully sure.
Answer:
D You got it right. 65% 5/8 3/5 0.5
How would I do this?
Answer:
the 2nd one (slope) circle or highlight -17 cus the one with the exponent being (x) so keep that in mind. plus the y on the 2nd one is the one without the exponent (x) being 12.
how to convert root into decimal
Please choose all that apply!
WORTH 50 POINTS
Recall the formula for factoring the difference of
two squares
a^2-b^2= (a + b)(a - b)
Use the formula to factor n^8-9
What is the value of a?
will mark brainliest pls answer fast
Answer:ok
Step-by-step explanation:A=23
Henry can run 12 laps in 30 minutes. How long will it take him to run 16 laps.
Answer:
40 minutes
Step-by-step explanation:
30 minutes ÷ 12 laps = 2.5 minutes per lap
2.5 minutes per lap * 16 laps = 40 minutes
How is saving an exercise of character? Financial lit
Explanation:
Saving is an exercise in deferred gratification. Willingness to defer immediate gratification in favor of a long-term goal is a mark of character.
A streetlight that is7.5 feet tall cast 3 foot -shadow . A nearby flagpole cats 17-foot-shadow . What is the height of the flagpole
The cost of 24 bottles of water is $6?witch expression shows to find the cost of 10 bottles of water
Answer:
so 24 bottles = 6 so you need to find out what 1 bottle cost so you do 6/24 = 0.25$ so then to find 10 you just easily multiple 10x0.25 = 2.5$
Step-by-step explanation:
Here you go, Hope this helped :)
(k+3) - (3k-5)
Whats the answer?
Answer:
(k+3) - (3k-5)
k+3 - 3k +5
-2k +8
Step-by-step explanation:
PLEASE ANSWER QUICKLY!!!!
HELP PLEASEEEEEEEEEEEEEEEEEREEEE
Step-by-step explanation:
so you go game 1 up 14
then go right 5 up 82
right 10 up 129
then you connect them
Answer:
so you go game 1 up 14
then go right 5 up 82
right 10 up 129
then you connect them
Step-by-step explanation:
Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fee for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem
Answer:
100+50t
Step-by-step explanation:
Answer:
P = 100+50t
The y-intercept of the function is 100 which represents the initial fee of using the studio.
Kelko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $57 and cost an additional $0.08 per mile driven. The second plan has an initial fee of $50 and costs and additional $0.10 per mile driven.
Questions (contd)
(a) For what amount of driving do the two plans cost the same?
(b) What is the cost when the two plans cost the same?
Answer:
(a) 100 miles
(b) $65
Step-by-step explanation:
Given
Plan 1:
[tex]Initial\ Fee = \$57[/tex]
[tex]Additional = \$0.08[/tex] per mile
Plan 2:
[tex]Initial\ Fee = \$50[/tex]
[tex]Additional = \$0.10[/tex] per mile
Solving (a): Number of miles when both plans are equal
Represent the distance with x and the cost with y
So:
Plan 1:
[tex]y = 57 + 0.08 * x[/tex]
Plan 2:
[tex]y = 50 + 0.10 * x[/tex]
To solve (a), we equate both plans together; i.e.
[tex]y = y[/tex]
[tex]57 + 0.08x = 50 + 0.10x[/tex]
Collect Like Terms
[tex]0.08x - 0.10x= 50 - 57[/tex]
[tex]-0.02x= -2[/tex]
Solve for x
[tex]x = -2/-0.02[/tex]
[tex]x = 100[/tex]
Hence, 100 mile would cost both plans the same
Solving (b): Cost when both plans are the same:
In this case, we simply substitute 100 for x in any of the y equation.
[tex]y = 57 + 0.08 * x[/tex]
[tex]y = 57 + 0.08 * 100[/tex]
[tex]y = 57 + 8[/tex]
[tex]y = 65[/tex]
Hence, the amount is $65
Fabric is sold by the yard. You are buying fabric to make a blanket and the first yard is $10 and each additional yard is $8. Write an expression to model this situation
Answer:
8x + 10
Step-by-step explanation:
Its 8x + 10 because its saying that the first yard is $10, and each additional yard is $8. To represent that, its already giving us the cost for the first yard, which is $10. And to represent each additional yard, we will use a variable combined with 8 which is 8x.
Hope this helped :)
