=Y2-10Y
We move all terms to the left:
-(Y2-10Y)=0
We add all the numbers together, and all the variables
-(+Y^2-10Y)=0
We get rid of parentheses
-Y^2+10Y=0
We add all the numbers together, and all the variables
-1Y^2+10Y=0
a = -1; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-1)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
Y1=−b−Δ√2aY2=−b+Δ√2a
Δ‾‾√=100‾‾‾‾√=10
Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10
Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0
The inverse of the given function is y=±√(x+25)+5. Therefore, the option D is the correct answer.
What is inverse function?Inverse function is represented by f⁻¹ with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
The given function is y=x²-10x
Replace x with y and y with x.
x=y²-10y
x=y(y-10)
y=x/(y-10)
So, the equation is non-invertible, the equations of the graph gained by reflecting over y = x
y=±√(x+25)+5
Therefore, the option D is the correct answer.
Learn more about the inverse function here:
https://brainly.com/question/2883051.
#SPJ7
What is the cost of an $8,000 car including 5½% tax?
A. 8440
B. 9270
C. 7560
D. 440
Answer:
okay so basically it would be choice A.
hope this helps ;)
- ♥
The cost of an $8,000 car including 5½% tax is 8440.
Write 1 and 3/100 as a decimal?
Answer:
1.03?
Step-by-step explanation:
A 45-45-90 triangle is shown below. Find the length of A and B. Leave answer in simplified radical form.
Step-by-step explanation:
[tex] {(14 \sqrt{6}) }^{2} = 2 {a}^{2} \\ {14}^{2} \times { \sqrt{6} }^{2} = 2 {a}^{2} \\ 196 \times 6 = 2 {a}^{2} \\ 1176 = 2 {a}^{2} \\ {a}^{2} = 588 \\ a = \sqrt{588} = \sqrt{196 \times 3 } \\ = 14 \sqrt{3} \\ a = b = 14 \sqrt{3} [/tex]
Is the relation a function? Explain your reasoning.
Plz help will give brainliest
Yes. Everything is a function.
Help me with this, Its in the doc below
Answer:
https://faq.brainly.com/hc/en-us/articles/360014661139.
Step-by-step explanation:
Please help me anyone
Answer:
the third one
Step-by-step explanation:
5.26 is less than 5.4
Answer:
5.26 < 5.4
Step-by-step explanation:
I hope it's okay that I didn't use the number line.
Try rounding the numbers. 5.26 would round to 5.3, which is less than 5.4. Therefore, the answer is 5.26 < 5.4.
Hunter is playing a video game where each round lasts ¾ of an hour. He has scheduled 3 hours to play video games. How many rounds of the game will he be able to play?
Answer:
4
45×4=180
this needs to be 20 characters long
The two triangles are similar.
What is the value of x?
Answer:
x = 10
Step-by-step explanation:
set up a proportion based on corresponding sides:
4x+ 2/3x = 28/20
cross-multiply:
28/20 can be simplified to be 7/5
5(4x + 2) = 7(3x)
20x + 10 = 21x
10 = x
Determine the slope and the y-intercept of the line represented by the equation y=-7/9x +3
Answer:
Slope: -7/9
Y-intercept: 3
Step-by-step explanation:
y = -7/9x + 3
help my teacher is going to come to check it
Answer:
i think A is the answer
Step-by-step explanation:
yes it is A the other guy or girl is corect
Anyone know this?? Question: find the area of the shape. Don’t forget your units and use 3.14 if you need to use pi.
Area of this shape = 614²
Answer with steps :Length of side of the first square = 10
It's area :
[tex] =\tt side \times side[/tex]
[tex] = \tt10 \times 10[/tex]
[tex] = \tt {100}^{2} [/tex]
Thus, the area of the first square = 100²
Length of the side of the second square = 10
It's area :
[tex] = \tt \: side\times side[/tex]
[tex] =\tt 10 \times 10[/tex]
[tex] = \tt{100}^{2} [/tex]
Thus, the area of the second square = 100²
Length of the side of the third square = 10
It's area :
[tex] =\tt side \times side[/tex]
[tex] = \tt 10 \times 10[/tex]
[tex] = \tt {100}^{2} [/tex]
Thus, the area of the third square = 100²
(pi value = 3.14)
Radius of the first semicircle = 10 cm
It's area :
[tex] = \tt \: \frac{\pi {r}^{2} }{2} [/tex]
[tex] = \tt \frac{3.14 \times 10 \times 10}{2} [/tex]
[tex] = \tt\frac{3.14 \times 100}{2} [/tex]
[tex] =\tt \frac{314}{2} [/tex]
[tex] =\tt {157}^{2} [/tex]
Thus, the area of the first semicircle = 157²
Area of the second semi circle :
= area of the first semicircle
= 157²
Thus, the area of the second semicircle = 157²
Total area of the figure :
= Area of the 3 squares + Area of the two semi circles
[tex] =\tt 100 + 100 + 100 + 157 + 157[/tex]
[tex] = \tt300 + 314[/tex]
[tex] = \tt {614}^{2} [/tex]
Therefore, the total area of the figure = 614²
how is 2/3 equal 66.6? show your work!
Answer:
Step-by-step explanation:
Dividing 3 into 2 results in the infinite (repeating) decimal fraction 0.6666....
0 . 6
3 / 20
18
------------
20
and so on: this pattern repeats itself indefinitely
Knowing that 36 x 42 = 1,512
What is the product of 3.6 x 4.2
Answer:
15.12
Step-by-step explanation:
15.12
1/4 + 1/5 =_ simplified
Lcd = 20
1x5/4x5 + 1x4/5x4
5/20 + 4/20
5+4/20
9/20
Decimal Form 0.45
Which expression could you simplify by multiplying exponents?
Please help............
Answer:
(n+5) / 4 -7 =___________
Monroe is gift wrapping a box that has the shape of a right rectangular prism. The box has a length of 20 cm, a width of 7 cm, and a height of 15 cm.
How many square centimeters of gift wrap will Monroe need to cover the entire outside of the box?
Enter your answer in the box. please help
Answer:
2,100
Step-by-step explanation:
You would have to multiply 20 by 7 by 15 to find the area of the box. So when you multiply all those together you get 2,100.
Please help.
Is Algebra.
Answer:
2
Step-by-step explanation:
[tex]( {4y}^{?} )^{3} = 64 {y}^{6} \\ \\ ( {4y}^{?} )^{3} = ( {4y}^{2} )^{3} \\ \\ {4y}^{?} ={4y}^{2} \\ \\ {y}^{?} ={y}^{2} \\ \\ ? = 2[/tex]
Monica has a juice stand. The table represents the number of glasses of juice Monica sells, x, and the amount she earns, y.
Table:
x: 1 | 2 | 3 | 4 |
y: 5 | 10 | 15 | 20 |
Which equation best represents the amount earned by Monica?
A: y= 5x
B: y= 5+x
C: x= 5y
D: x= 5+y
Answer:
ans is A.
just do our the working for e.g : y(5) = 5 x 1
please help due in 5 min !!!!
Answer:
Down below. Hope this helps :)
Step-by-step explanation:
#1 A) The chance of an event happening
#2 B) The set of all possible outcomes of a probability experipment.
Dan's car depreciates at a rate of 5% per year. By what percentage has Dan's car depreciated after 3 years?
Answer:
44%
Step-by-step explanation:
What is the difference between a Linear Graph and an Exponential Graph?
Answer:
Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
What is the value of x?
Answer:
w
Step-by-step explanation:
w
Pls help me or I’m gonna fail
Answer:
What is the question?
Step-by-step explanation:
All I evaluate from this is 40 have curfew and out of those 40, 35 have a smartphone, and 5 do not have a smartphone. 20 do not have curfew and out of those 20, 14 have a smartphone, and 6 do not have a smartphone.
Solve for x, round to the nearest hundredths place.
Answer:
2.33333
Step-by-step explanation:
mark me as brainliest
9-3(y-2)=3-3y true or false
answer: false
distribute this and keep solving using PEMDAS:
9-3(y-2)=3-3y
= 9 - 3y + 6 = 3 - 3y
- - > 15 - 3y = 3 - 3y
this is false since when you solve you do not end up with the exact same expression.
find the product:42(100,000)
Answer:
4200000
Step-by-step explanation:
Answer:
4,200,000
Step-by-step explanation:
Can someone help me in this question
Answer:
try
Simplify the expression.
15x-17 or 2x-6
Step-by-step explanation:
Step-by-step explanation:
85 is simplified 15x17 if that helps.
What is the measure of ÐRST?
the answer is C
hope that helped:)
over the past ten years, the towns population doubled in size. the population is currently 12,000. what was the population ten years ago?
which of the following represents the given word problem if “P” represents the population ten years ago?
1. P=2(12,000)
2. 2P=12,000
3. 2(P+10)=12,000
Answer:
If P represents the population ten years ago, the current population can be expressed as: 2P = 12,000 (or: 2 x 6,000 = 12,000). Over the past ten years, the town's population doubled in size. The population is currently 12,000. Therefore the population ten years ago was 12,000 divided by 2 = 6000.
Step-by-step explanation: