The greatest common factor of the numerator and denominator of the rational expression is x - 4
How to determine the greatest common factor?The fraction expression is given as:
[tex]\frac{5x-20}{x^2-2x-8}[/tex]
Factorize the numerator and the denominator
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}[/tex]
Cancel out the common factor
[tex]\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}[/tex]
The common factor that was canceled out is x - 4
Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4
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please help me solve this
[tex]~~~~~\sin 30^{\circ} = \dfrac{x}{6}\\\\\implies \dfrac 12 = \dfrac x6\\\\\implies x = \dfrac 62 \\\\\implies x= 3.0~ \text{cm}[/tex]
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
The question can be easily solved applying trigonometry ~
We know that ,
[tex]\bold{ \sin(\theta) = \frac{perpendicular}{hypotenuse}} \\ [/tex]
Given - θ = 30° and hypotenuse = 6cmTo find - the perpendicular , i.e. , value of xSubstituting the values in the formula of sin θ
[tex] \sin(30\degree) = \frac{x}{6} \\ [/tex]
now , we know that sin 30° = 1/2
[tex]\therefore \: \implies \frac{1}{2} = \frac{x}{6} \\ [/tex]
on cross multiplying ,
[tex]\implies \: 2x = 6 \\ [/tex]
dividing both sides of the equation by 2 ,
[tex] \implies \: \cancel \frac{2x}{2} = \cancel\frac{6}{2} \\ \\ \implies \: \boxed{x = 3 \: cm}[/tex]
hope helpful ~
20points Need help asap
Answer:
Equation
5xP
graph:
for every 1 person Lets say its X for people
and then y for price
1,5
2,10
3,15
etc.
Bo's family took a road trip to Niagara Falls. Bo fell asleep 84% of the way through the trip. If the total length of the trip was 600 miles, how many miles had they travelled when Bo fell asleep?
Answer:
504
Step-by-step explanation:
Find the area of the irregular figure.
4 in.
6 in.
A = [? ]in.²
10 in.
7 in.
11 in.
6 in.
Answer:
160 square inches
Step-by-step explanation:
You can split the irregular figure up into regular shapes:
the top 4x6 inch rectangle
the middle section can be a 18x6 rectangle (added 7+11 for the length)
the bottom 4x7 rectangle (sibtracted 10-6 for the width)
Then, find the area of each section with the equation A = lw.
A= 4(6) = 24 square inches
A = 18(6) = 108 square inches
A = 4(7) = 28 square inches
Add these areas up to get the total area of the irregular figure.
24 + 108 + 28 = 160 square inches
Which statement is true about the end behavior of the
graphed function?
• As the x-values go to positive infinity, the function's
values go to negative infinity.
• As the x-values go to zero, the function's values go
to positive infinity.
• As the x-values go to negative infinity, the function's
values are equal to zero to
O As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
D. As the x-values go to positive infinity, the function's values go to positive infinity.
Step-by-step explanation:
the answer on edge 2022
As the x-values go to positive infinity, the function's values go to positive infinity. The correct option is D.
What is a function?A function is a mathematical formula that describes how the dependent variable and independent variable are related. The dependent variable's value varies in the function together with the independent variable's value.
The correct option is D that as the x-values go to positive infinity, the function's values go to positive infinity.
In mathematics, a function is a rule that gives each input value in a set a distinct output value. A function is, more precisely, a collection of ordered pairs (x, y), where each x-value is matched with precisely one y-value.
The variable x normally represents the input values, also known as the independent variable, while the variable y typically represents the output values, also known as the dependent variable. Typically, a symbol like f(x), where f is the function's name and x is the input variable, is used to represent a function.
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The equation of a straight line is given a x = 2y - 1 Write the equation in the form y = mx + c
Answer:
2y = x - 1
Step-by-step explanation:
y = 2y
mx = x
c = -1
1. SSS
2. SAS
3. SSA
4.ASA
5. AAA
6. AAS
7. HL
8. Not Enough Information
please help mee i will give brainliest
Answer:
420*3/2 = 630
630/60 = 10.5
=> B direction isn't relevant with velocity
Answer:
A. 10.5
Step-by-step explanation:
I divided 450 by 40 for the velocity of 10.5 brainliest please!!
PLEASE HELP WILL GIVE BRAINLEST! Which graph represents the trigonometric function given below
Answer:
Goodluck and look at the pic
I need help solving this
The end behavior of the function is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the correct statement is the second one.
How is the end behavior of the graphed function?
For a function f(x), the end behavior is how f(x) behaves when:
x ⇒ ∞x ⇒ -∞If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.
Then the end behavior is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the true statement is the second one.
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Factor completely.
Show all work.
a) ²−7−18
b) 2²−26+24
c) 10²+37+7
d) ²−25
e) 42−4+1.
f) 144²−36
Answer: First find the GCF ( greatest Common Factor):-
GCF of 16, 24 and 48 is 8
GCF of the x terms is x^3
GCF of the y terms is y^4
So GCF is 8x^3y^4
Factoring:-
= 8x^3y^4 ( 2x^6y^4 - 16x^2y^2 + 3) answer
Step-by-step explanation:
Someone please help! Giving brainliest!
Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music
lessons would have to be taken for the cost to be the same for members and nonmembers?
Answer: The answer is three
Step-by-step explanation:
What is the solution to the equation ?
p = –6
p =
p = –4
p =
The solution to this equation is p = -6
This expression is related to a First Degree Equation.First degree equation is a mathematical expression and sentence, which is defined by having only one unknown. Its representation is given by: ax+b=0.
— To solve this expression, let's eliminate these square root symbols:
√-5p = √24-p
-5p = 24 - p
— Move the p term before the positive sign equality, thus also shifting the 24th term:
-5p = 24 - p
-5p + p = 24
-4p = 24
— Finally, let's divide the second to the first term of this equation:
-4p = 24
p = 24 ÷ (-4)
p = -6
Therefore, the correct result of this expression will be p = -6
ANOTHER QUESTION! please help! will make branliest
Answer: Total: 10 3/4
Step-by-step explanation:
What is the surface area of the composite solid? a rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. a rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters. 119 m2 146 m2 162 m2 174 m2
Using the formula for the surface area of a rectangular prism, the surface area of the composite solid is: C. 162m²
What is the Surface Area of a Rectangular Prism?Surface area of a rectangular prism = 2(wl+hl+hw)
Surface area of the composite shape = surface area of the larger prism + surface area of the smaller prism - area of the face both prisms are joined together
Surface area of the larger prism = 2(wl+hl+hw) = 2(2×3 + 9×3 + 9×2) = 102 m²
Surface area of the smaller prism = 2(wl+hl+hw) = 2(2×8 + 2×8 + 2×2) = 72 m²
Area of the face both prisms are joined together = 2(l×w) = 2(3 × 2) = 6 m²
Surface area of the composite shape = (102 + 72) - 12 = 162m²
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Answer:
its c
Step-by-step explanation:
i took the test
The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than nine people. let represent the number of people. write an inequality to describe the maximum allowance of people allowed in the elevator at one time.
Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem
PLEASE HELP THIS IS WORTH 100 POINTS
You will not be writing a complete argumentative essay.
Topic question: Should violent video games be banned?
Instructions: You will organize an argument for banning violence from teens’ video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)
Argument Organizer
Claim:
In your own words
Reason 1:
In your own words
Support for Reason 1:
Quote from the evidence below
Reason 2:
In your own words
Support for Reason 2:
Quote from the evidence below
Counterclaim:
What is the opposing point of view
Rebuttal Support:
Quote from the evidence below
Conclusion Clincher:
Negative effects that will occur if your readers do not follow your claim
____________________________________
EVIDENCE 1
Negative Effects of Violent Video Games
In studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.
____________________________________
EVIDENCE 2
Negative Effects of Violent Video Games
Fights among best friends and disagreements with peers are a natural part of a teen's daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?
Excerpt from "Adolescent Health Sociology Journal
____________________________________
EVIDENCE 3
Negative Effects of Violent Video Games
A study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.
Study by Anderson, Gentile and Buckley (2007)
Answer:
No
Step-by-step explanation:
Violent video games should not be ban because violent video games improve your skills, there is less violence, and banning violent video games is against the fourteenth amendment. Violent video games strengthens and coordinate visual skills.
Some ideas!
Answer:
hey
Step-by-step explanation:
Desmond opened a savings account and deposited $600.00 as principal. The account earns
6% interest, compounded annually. What is the balance after 6 years?
Use the formula A = P(1+r/n)^nt
where A is the balance (final amount), P is the principal
(starting amount), r is the interest rate expressed as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.
Answer:
$826.28
Step-by-step explanation:
Given:
[tex]P = 600[/tex]
[tex]r = 6% or 0.06[/tex]% or [tex]0.06[/tex]
[tex]t = 6[/tex]
Work:
[tex]A=Pe^{rt}[/tex]
[tex]A=600e^{0.06*6}[/tex]
[tex]A=600e^{0.36}[/tex]
[tex]A=826.28[/tex]
Therefore, the balance after 6 year is 826.28.
Two lines intersecting at a right angle
Oform a line.
Oare parallel.
Oare perpendicular.
Oform a ray.
Two men walk at rates of 6 miles per hour and 10 miles per hour, respectively. Simultaneously, they started from the same place walking in opposite directions. In how many hours will they be 200 miles apart?
The time taken by the two men will be equal to 26 hours
What is speed?The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
here two men are walking at different speeds like
v₁=6 miles per hour
v₂=10 miles per hour
The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.
t₁= {100}/{6}=16.66 hours
t₂= {100}/{10}=10 hours
total time taken will be
t₁+t₂=16.66+10=26.66 hours
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O A. Function fis even.
ОВ.
Function fis neither even nor odd.
O C.
Function fis both even and odd.
D.
Function fis odd.
F(x)= -8x^5+4x^3+5x
Answer:
D) Function f is odd
Step-by-step explanation:
There are three ways to solve this problem:
Method 1
Recall that a function is even if [tex]f(x)=f(-x)[/tex] and odd if [tex]-f(x)=f(-x)[/tex] for all x. Hence, we evaluate [tex]f(-x)[/tex] to check if the function is even, odd, both, or neither:
[tex]f(x)=-8x^5+4x^3+5x\\\\f(-x)=-8(-x)^5+4(-x)^3+5(-x)\\\\f(-x)=8x^5-4x^3-5x[/tex]
Here, we can see that the signs of the original terms switched to their opposite operations, so it is clear that [tex]-f(x)=f(-x)[/tex], which tells us that the function is odd.
Method 2
A function is odd if it has symmetry about the origin, and even if it has symmetry about the y-axis. We can clearly see on the graph there is origin symmetry, so the function is odd.
Method 3
A function is even if every term in that function has an even degree, or odd if every term has an odd degree. We can see that the degrees of each term are odd, so we can conclude that the function is odd.
There are 6 options on the dessert menu at a restaurant. Akira and Paula like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Answer:
1/6 = 0.17 Step-by-step explanation:
Please help me with this. Brainliest for right answer
Answer:
40
Step-by-step explanation:
Find the surface area and the volume of the cylinder below.
Answer:
70
Step-by-step explanation:
10x7=70. basically, bxh base 10 height 7
which number(s) have a 5 that is 10 x the value than the 5 in 13.725?
(a) 5.368
(b) 12.459
(c) 57.31
(d) 6.508
(e) 4.315
(f) 7.65
Answer:
(b) 12.459 and (f) 7.65
Step-by-step explanation:
The value of 5 in 13.725 is 0.005 (or 5 in the thousandths place)
We need to find numbers with 10 times that value in the number.
0.005 x 10 = 0.05 (or 5 in the hundredths place)Evaluating the options given :
(a) 5.368
The value of 5 in this number is 5 in the unit place (No ×)(b) 12.459
The value of 5 in this number is 5 in the hundredths place (Yes √)(c) 57.31
The value of 5 in this number is 5 in the tens place (No ×)(d) 6.508
The value of 5 in this number is 5 in the tenths place (No ×)(e) 4.315
The value of 5 in this number is 5 in the thousandths place (No ×)(f) 7.65
The value of 5 in this number is 5 in the hundredths place (Yes √)Hence, the numbers are : (b) 12.459 and (f) 7.65
Answer:
b and f
Step-by-step explanation:
The 5 in 13.725 is in the thousandth place: 0.005
So three places after the decimal point.
If you multiply 0.005 by 10, then it becomes 0.05 (as multiplying by 10 moves the decimal point one place to the right).
Therefore, we are looking for numbers that have a 5 in the hundredth place, so a 5 in the second place after the decimal point.
There are two numbers that have a 5 in the hundredth place:
(b) 12.459
(f) 7.65
4. Arrange these lunch buyers from greatest to least assuming they buy lunch 5 days per week and there are four weeks in a month: Alice: $3 per day, Betty: $25 every two weeks, Cindy: $75 per month
Answer:
greatest to least: cindy, betty, alice
Step-by-step explanation:
multiply each amount by 20- 5 days times 4 weeks
3*20=60 for alice
25*3=75 betty
75*3=225 cindy
Aide moi svp ses pour demain
Answer:
Step-by-step explanation:
E= 10/11 f=-5/9 G=4/10 H=-8/12
4 kg of bananas and 3 kg of apples cost £7.50. 3kg of bananas and 5 kg of apples cost £8.10. work out how much 2kg of bananas and 2kg of apples cost
Answer:
£4.20
Step-by-step explanation:
Let :
cost of 1 kg banana = xcost of 1 kg apple = yEquations formed :
4x + 3y = 7.50 [Equation 1]3x + 5y = 8.10 [Equation 2]Multiply Equation 1 by 5 and Equation 2 by 3 :
20x + 15y = 37.509x + 15y = 24.30Subtract the newly formed equations :
11x = 13.20x = 1.20Finding y :
4(1.20) + 3y = 7.504.80 + 3y = 7.503y = 2.70y = 0.90Then :
Cost of 1 kg banana = £1.20Cost of 1 kg apple = £0.90Cost of 2 kg bananas and 2 kg of apples :
2(1.20) + 2(0.90)2(2.10)£4.20This is part of Ivan's homework. A line segment, AB, goes from the point A(4, 7) to the point B(9, 3). AB is translated 3 squares left and 2 squares down. The image of AB is AB. Work out the coordinates of A' and B. Solution A' is at (7, 5). B' is at (12, 1). Ivan has worked out the coordinates of A' and B' incorrectly.
Explain the mistake that he has made.
Ivan mixed up left and right.
He mistakenly added 3 to the x coordinate to shift the points 3 units right, when instead he should have subtracted 3 from the x coordinate to go 3 units left.
Luckily, Ivan correctly shifted the points 2 units down.
The coordinates of A' and B' should be (1,5) and (6,1) respectively.
Refer to the diagram below.
Leah is going to invest $30,000 and leave it in an account for 7 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Leah to end up with $40,000?
The interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Leah is going to invest P=$30,000 and leave it in an account for t=7 years.
The interest is compounded daily.The final amount of A is $40,000?Put the values in the above formula to find rate of interest.
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\40000=30000\times\left(1+\dfrac{r}{12\times30\times100}\right)^{12\times30\times(7)}\\r=4.11 \5[/tex]
Thus, the interest rate which is required in order for Leah to end up with $40,000 in his account which is compounded daily, is 4.11%.
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