Step-by-step explanation:
since theyre mutliplied you can separate
(125 / 25) x (x^3 / x^4) x (y^5 / y^2)
when you divide exponents, they subtract
Dont be afraid of negative exponents
(125 / 25) x (x^-1 / 1) x ( y^3)
x^-1 = 1/x
solve for 125/25 and put together the fractions
Answer:
[tex]\frac{5y^3}{x^1}[/tex] or [tex]\frac{5y^3}{x}[/tex]
Step-by-step explanation:
125/25 = 5
x³ - x⁴ = x⁻¹
y⁵ - y² = y³
All together; 5x⁻¹y³
Since the answer has to be positive exponents, it would be;
[tex]\frac{5y^3}{x^1}[/tex]
Hope this helps!
PLEASE HELP! VERY EASY
Answer:
3RD
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary. Answer:x =
Please respond quick
Answer:
x = 61.6 degree
Step-by-step explanation:
take x degree as reference angle
using sin rule
sin x = opposite / hypotenuse
sin x = 4.8 / 5.4
sin x = 0.88
x = [tex]sin^{-1} (0.88)[/tex]
x = 61.64
x = 61.6 degree
A 20% tip was
left on a$120
restaurant bill.
How much
should be left for
the billa
Answer:
$144
Step-by-step explanation:
what is 4 5/6 +2 1/2 simplify
Answer:
7 1/3
Step-by-step explanation:
A rectangle has sides measuring (2x + 7) units and (5x + 9) units.
Part A: What is the expression that represents the area of the rectangle? Show your work.
Part B: What are the degree and classification of the expression obtained in Part A?
Part C: How does Part A demonstrate the closure property for polynomials?
Part A
Use the FOIL rule to expand out the expression below
(2x+7)(5x+9)
2x*5x + 2x*9 + 7*5x + 7*9
10x^2 + 18x + 35x + 63
10x^2 + 53x + 63 is the final answer for part A
==========================================================
Part B
The degree is 2. This is a quadratic trinomial.
The degree is simply the largest exponent after expanding everything out. The degree directly determines the type of polynomial. Since the degree is 2, we have a quadratic. The polynomial is a trinomial because it has 3 terms.
==========================================================
Part C
Imagine we had a machine in which we deposit 2 coins into it. One would happen on either side. After the coins are deposited, a third coin pops out. The 2 coins going in and the third coin coming out are the same currency. This represents an example of closure.
In mathematics, the idea of closure is taking any two objects of the same type, applying an operation on them, and getting the same type of object as the input.
For example, we could take two whole numbers and multiply them together. The result is always a whole number. The set of whole numbers is closed under multiplication because you can't leave the set (hence the gate is closed not letting anything out).
Similarly, taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this in action because (2x+7), (5x+9) and 10x^2 + 53x + 63 are all polynomials.
[tex]\rm 10x^{2} + 53x + 63[/tex] is the expression that represents the area of the rectangle. This is a trinomial expression.
What is a quadratic equation?A quadratic equation is the polynomial of second degree in one variable only. The standard form of a quadratic equation is [tex]\rm ax^{2} +bx+c=0[/tex]
Where, x is the variable and a,b, and c are real numbers.
Part A
Let length of a rectangle = (2x+7)
Let width of a rectangle = (5x+9)
The area of the rectangle = length × width
= (2x+7)(5x+9)
= 2x × 5x + 2x × 9 + 7 × 5x + 7 × 9
= [tex]\rm 10x^{2} + 18x + 35x + 63[/tex]
Therefore, [tex]\rm 10x^{2} + 53x + 63[/tex] is the expression that represents the area of the rectangle.
Part B
The degree is 2 in the expression. This is a trinomial expression.
The degree is simply the largest exponent. The degree directly represents the type of polynomial. Since the degree is 2. The polynomial is a trinomial because it has 3 terms.
Part C
Applying multiplication operations such that taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this multiplication because (2x+7), (5x+9) and [tex]\rm 10x^{2} + 53x + 63[/tex] are all polynomials.
Learn more about quadratic equations;
https://brainly.com/question/2263981
Anyone know how to factorise this please ?! :)
9514 1404 393
Answer:
a) (x +2)(x +3)
b) x = -2 or -3
Step-by-step explanation:
a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...
6 = 1×6 = 2×3
The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...
x² +5x +6 = (x +2)(x +3)
__
b) The solutions to the equation are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x +3) = 0 ⇒ x = -3
How do you find the are of the diameter
Please refer to the attached image for the question/problem.
Answer:
Step-by-step explanation:
The domain indicates all the x values which are {2, 6, 9} in order from least to greatest. As long as none of these numbers is the same, then our relation is also a function. Choice A. is the one you want.
Jim Part 2 Homework Algebra more June 3rd
Answers:
6. A) 120 plus or minus 17. A) (0, 22.7)8. B) When there are 0 people, the max noise is 22.7 dB9. D) 8910. B) The player had 318 at bats and 80 hits.========================================================
Explanations:
6. Plug in x = 65 and evaluate. You should get y = 120.2 which is fairly close to 120, give or take a decibel or so. 7. The y intercept is the value of b in y = mx+b. In this case, b = 22.7 and the location of the y intercept is (0, b) = (0, 22.7)8. Plug in x = 0 and you should get y = 22.7, which is the y intercept mentioned earlier. It means that if x = 0 people show up, ie the stadium is empty, then the noise level is 22.7 dB. This is probably unrealistic as there's no people around to make noises, unless there are machinery or similar making sounds. 9. Form the proportion 147/526 = x/317. Solve for x to get roughly x = 88.591, which rounds to 89. If we have 89 in this cell, then the row relative frequencies will fairly be the same (ie each row is pretty much identical after we compute the row relative frequencies) and that leads to a likely case we don't have association. 10. The point (x,y) = (318, 80) means x = 318 and y = 80 pair up together. The variable x is the number of at bats, and y is the number of hits.
There are 9 cans of soup in a pantry, 3 of which contain minestrone soup.
What is the probability that a randomly selected can will be minestrone soup?
Answer:
It's 33.33%
Step-by-step explanation:
It's 3/9 = 1/3 = 0.3333 = 33.33%
I hope you guys can help me with this question :)
What’s the distance between the points that’s given on the graph?
The distance between two points:
[tex] \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }[/tex]
From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:
[tex] \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } [/tex]
Hence the distance between two points is √89.
Answer
√89At a sale, each book was marked $3.00 off the original price. Daniel paid $46.00 for two books that had the same sale price. What was the original cost of ONE of his books?
Answer:
The answer would be $26.00
Step-by-step explanation:
Taking into consideration that Daniel has 2 books and is paying $46.00 with the discounted prices, we can say that if there was no discount, the full price would be $52, since there's 2 books, it would be 3•2= 6 and $49 + 6 = $52. Now knowing the original pricing for two books, we can now divide the number by 2 and get $26.00.
Someone please help me thank you
Answer:
6 and 3
Step-by-step explanation:
6 · 3 = 18
6 + 3 = 9
Hi Gus helps assap:(:)) choose a answers for these two questions don’t answer if You don’t know but yeah :)))
Answer:
go and di
Step-by-step explanation:
radius stops halfway thru the shape
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=6/8
tan x=0.75
x=tan 37
x=37 degree
Answer: 47
Step-by-step explanation:kelskdkekdkekdkeksk
What are the quartiles of the data represented by the box-and-whiskers graph shown.
23, 26, 28, 30.5
26, 28.5, 30.5, 35
23, 26, 28.5, 31.5
26, 28.5, 32.5, 34
Answer: 26 and 31.5
Step-by-step explanation: it litterally shows it in the picture
Use square roots to solve the following quadratic equation.
Write your answers from least to greatest with a comma and
space separating each answer. For example: 4,9
m2 - 4 = 77
what is [tex]hx^{8}[/tex] x [tex]hx^{-9}[/tex] simplified
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]
Please help me
Look at the image
Answer: 3
Step-by-step explanation: you have to add then you have to subtract s
If y=-5x + 2 were changed to y = -7x + 5, how would the graph of the new line
compare with the first one?
Please help! pleaseeeeeeeeeeeeeeeee
A teacher asked her pupils what their favourite school subject was.
PE
273
Maths
English
135
Science
3 pupils said PE was their favourite subject.
How many pupils said that Maths was their favourite subject?
Can someone help me please
2. The Vasco da Gama Bridge in Lisbon, Portugal, includes a trapezoid as part of
its structure (pictured above). The bridge's roadway goes through the median of
the trapezoid. If the bases of the trapezoid measure 22 m and 38 m, what is the
approximate width of the bridge's roadway? Explain how you got your answer.
Answer:
30 m
Step-by-step explanation:
Midsegment of a Trapezoid
[tex]\frac{(Base_{1}) +( Base_{2}) }{2}[/tex]
[tex]\frac{12 + 38}{2}[/tex]
[tex]\frac{60}{2}[/tex]
30
Average of the top and bottom = the middle
What is the area pls
Answer:
276 unit^2.
Step-by-step explanation:
This area is the sum of the area of 2 rectangles
= 12 * 13 + 8 * 15
= 156 + 120
= 276.
the answer in the problem is 0.75
Answer:
0.75
Step-by-step explanation:
you said it was 0.75
When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?
6 percent increase
9 percent increase
10 percent increase
90 percent increase
Answer:
6 percent increase
Step-by-step explanation:
66-60=6
So a 6 percent increase.
Answer:
10 percent increase
Step-by-step explanation:
60 ÷ 6 = 10
Hope this helps!
Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -31 + 3
y = 3x - 4
Use the Mark Feature tool to indicate the solution to the system on the graph.
Answer:
Solution = (-8,-28)
Step-by-step explanation:
3z^7+(-11z^7)
Help me please
Answer:
Simplify the following:
3 z^7 - 11 z^7
Hint: | Combine like terms in 3 z^7 - 11 z^7.
3 z^7 - 11 z^7 = -8 z^7:
Answer: -8 z^7
Step-by-step explanation:
what is 13/4+(-3/4)=c
Answer:=5/2
Step-by-step explanation:
