[tex]\\ \sf\longmapsto y\propto \dfrac{1}{(x+1)^2}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{k}{(x+1)^2}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{k}{x^2+2x+1}[/tex]
#2
Put x=4
[tex]\\ \sf\longmapsto 2=\dfrac{k}{x^2+2x+1}[/tex]
[tex]\\ \sf\longmapsto 2x^2+4x+2=k[/tex]
[tex]\\ \sf\longmapsto 2(x^2+2x+1)=k[/tex]
[tex]\\ \sf\longmapsto x^2+2x+1=k[/tex]
Put x=4[tex]\\ \sf\longmapsto 16+8+1=k[/tex]
[tex]\\ \sf\longmapsto k=25[/tex]
Put in equation[tex]\\ \sf\longmapsto y=\dfrac{25}{x^2+2x+1}[/tex]
#3
y=4
[tex]\\ \sf\longmapsto x^2+2x+1=\dfrac{25}{4}[/tex]
[tex]\\ \sf\longmapsto x^2+2x+1=25/4-1=21/4[/tex]
[tex]\\ \sf\longmapsto x(x+2)=21/4[/tex]
[tex]\\ \sf\longmapsto x=21/4\:or 13/4[/tex]
SOMEONE PLS HELPP ILL GIVE BRAINLIEST
Answer:
width = 15 inches
length = 30 inches
Step-by-step explanation:
Let width = w
Length =2w
Perimeter = 90 inches
2*(length + width) = 90
2*(2w +w ) = 90
2* 3w = 90
6w = 90
w = 90/6
w = 15 units
length = 2*15 = 30 units
A square park has an area of 120 m2
a) What are the dimensions of the park? Give your answer to the nearest metre.
b) If fencing costs $18.50/m, how much would it cost to install a fence around the park?
Show your work
Answer:
The dimensions of the Park is120m2
Find the missing coefficient in the equation of the line that passes through the given point Write the completed equation 3x + By = 97, (21, - 4)
Answer:
[tex]-\frac{17}{2}[/tex]
Step-by-step explanation:
Substitute the point (21,-4) in for [tex]x[/tex] and [tex]y[/tex] in the equation making
[tex]3(21)+B(-4)=97[/tex]
Simplify and solve
[tex]63-4B=97[/tex]
[tex]-4B=34[/tex]
[tex]B=-\frac{17}{2}[/tex]
Which expression is a quadratic binomial?
A.) x^2 - 16x
B.) 12x^4 + 3x^2 - 6x - 1
C.) 9x^2
D.) 6x^4 - 12x
Answer:
A
Step-by-step explanation:
A quadratic is 'involving the second and no higher power of an unknown quantity or variable.'
Therefore, we can exclude b and d easily because both have a higher power of 2. 9x^(2) is not a binomial because it only has 1 term (i think its called a term) leaving A, x^2-16x as the only answer left.
YES I AM GIVING A BRAINLST
Answer:
it's the third one!
Step-by-step explanation:
ur welcome :)
Could someone please help me out with this? Determine if the two figures are congruent and explain your answer. (10 points) (It would help if you explained the rotation and maybe include a postulate equation)
Answer:
the two figures are congruent and the same, just mirrored and rotated. If you count the units between points on both, they are the same
Step-by-step explanation:
Help may god save you help as soon as possibel (10 pts)
Answer:
125
Step-by-step explanation:
1. When you look closely enough, you can notice the pattern goes like 1^3, 2^3, 3^3, and 4^4.
This means that the term number represents what is being cubed. For example, the second term (2) is being cubed (2^3), so you get 8.2. Since we're looking for the value of the next term, or the 5th term, we have to cube the number 5.
5 * 5 * 525 * 5125Therefore, the next term is 125.
A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
Each minute, the faucet allows 12 1/5 gallons of water to enter the pool, and the drain allows 15 2/3 gallons to leave the pool.
What is the change in the amount of water in the pool after 1 1/2 minutes?
solve the median of 4,5,3,4,3,1
Answer:
arrange them in order = 1,3,3,4,4,5
then cancel them slowly from both side = 3,3,4,4
until u find a single number or two number.
for two number which is same as this do (3+4)/2 which is 7/2 = 3.5
Step-by-step explanation:
4,5,3,4,3,1 (n = 6)
[tex] \\ \tt median = \frac{n + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x -4
O h(x) = ¿x
O h(x) = ÷x
Can someone help pls?
Solution:
As we know that f(x) = y
∴ y = f-1(x) ----------> (1)
Given f(x) = 4x
y = 4x
To find the inverse of the f(x), put y for all values of x and x for all values of y.
x = 4y
Divide both sides by 4.
x/4 = y
Using eq (1).
y = 1/ 4x or x / 4
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x
Summary:
The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.
b) (2045+2553−3022):522
Answer:
822,672
Step-by-step explanation:
(2045+2553-3022)\times 522
(2045+2553−3022)×522
(2045+2553-3022)522
1 Simplify 2045+2553 to 4598.
(4598-3022)times 522
(4598−3022)×522
2 Simplify 4598-3022 to1576.
1576 times 522
1576×522
3 Simplify.
822672
If f(x) =|x| +9 and g(x)=-6, which describes the range of (f+g)(x)?
[tex](f + g)(x) = f(x) + g(x)[/tex]
[tex](f + g)(x) = |x| + 9 + ( - 6)[/tex]
[tex](f + g)(x) = |x| + 3[/tex]
If u graph this function u will realize that the range is :
[tex]y \geqslant 3[/tex]
Thus for all the values of x we have the y which is more than or equal to 3 which is telling us the First option is the correct one.
There u go.....
Have a great day ❤
Answer: A
Step-by-step explanation:
Cyndi got a manicure over the weekend. How much money will she need if the original cost is $35 plus a 9.25% tax and 15% tip? Round to the nearest tenth if necessary.
What is the slope of this graph?
1. - 1/3
2. 1/3
3. -3
4. 3
Is the sequence 1,6,12,19,27 quadratic?
Answer:
Yes
Step-by-step explanation:
The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of best fit. Then use the equation to predict how long it will take to climb and come back down the three rock formations.
Type the correct answer in each box. Round your answers to the nearest hundredth.
Answer:
Step-by-step explanation:
45–120
75–215
145–400
Step-by-step explanation:
This table shows the heights of three different rock formations that Jeremy is considering.
45-120
75-215
145-400
What is the simple definition of the equation?1: Statement about the equivalence of two formulas. 2: An expression that expresses a chemical reaction using a chemical symbol.
What is an equation? What is the type of equation?There are two types of equations, identities and constraint equations. The ID applies to all values of the variable. Constraint equations apply only to specific values of variables. The equations are described as two equations joined by an equal sign ("=").
To learn more about an equation, at
https://brainly.com/question/2972832
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how can we make a denominator as a unit rate like 1
Answer:
Step-by-step explanation:
When you have a rate, eg. The price is for every number of items, and the quantity in the denominator is not 1, you can calculate the price or the unit rate per unit by completing the division: the numerator divided by the denominator.
x+2/x-1 / x-3/x-1 when x ≠ 1
Answer:
[tex] \frac{ \frac{x + 2}{x - 1} }{ \frac{x - 3}{x - 1} } \\ = \frac{x + 2}{x - 1} \times \frac{x - 1}{x - 3} \\ = \frac{x + 2}{x - 3} \: when \: x \ne3[/tex]
1. A roller coaster holds 30 people. There are 252 people waiting for a ride. How
many times will the roller coaster need to run so that all 252 people get a ride
Answer:
They would need to wait almost 9 times to ride.
Step-by-step explanation:
252 divided by 30 equals 8.4.
Graph the equation on the coordinate plane using the slope and y-intercept.
y=12x
Answer:
The Equation is in y=mx+b form.
m is 12 and b is 0
Plug in values for x and get coordinates.
At x = 1, y = 12
At x= 2, y = 24
At x = -1, y = -12
At x = -2, y = -24
And so on..
Convert from the given standard form of a linear equation to the slope intercept form of a linear equation
1. x+ 5y = 5
2. 3x + 2 y = 4
3. 2x+ y = 4
4. 4x - 2y = 6
5. 8.x- 4y = 16
6. 3x+ 4y = 4
7. 9x - 4y = -16
8. 2x-5y = 10
9. 3x +5y = 10
10. 7x - y =4
(•‿•)
Step-by-step explanation:
remember, we need to get to an expression of the form
y = ax + b
1.
x + 5y = 5
5y = -x + 5
y = (-1/5)x + 1
2.
3x + 2y = 4
2y = -3x + 4
y = (-3/2)x + 2
3.
2x + y = 4
y = -2x + 4
4.
4x - 2y = 6
2y = 4x - 6
y = 2x - 3
5.
8x - 4y = 16
4y = 8x - 16
y = 2x - 4
6.
3x + 4y = 4
4y = -3x + 4
y = (-3/4)x + 1
7.
9x - 4y = -16
4y = 9x + 16
y = (9/4)x + 4
8.
2x - 5y = 10
5y = 2x - 10
y = (2/5)x - 2
9.
3x + 5y = 10
5y = -3x + 10
y = (-3/5)x + 2
10.
7x - y = 4
y = 7x - 4
Sam has x number of trading cards.
Alesia has double the number of cards as Sam has, plus 20 more cards.
Farid has triple the number of cards as Alesia has.
In total, they have 350 cards.
What equation represents the total number of cards for all three people?
5x + 43 = 350
5x + 80 = 350
9x + 40 = 350
9x + 80 = 350
The equation that represents the total number of card for all three people is 9x + 80 = 350
Sam has x number of trading cards.
Alesia has double the number of cards as Sam plus 20 cards more. Therefore, Alex has the following card:
2x + 20Farid has triple the number of cards as Alesia .Therefore, Farid number of card is as follows:
3(2x + 20)In total they have 350 cards. Therefore, the equation that represent the total number of cards is as follows;
x + 2x + 20 + 6x + 60 = 350
9x + 80 = 350
9x = 350 - 80
9x = 270
x = 270 / 9
x = 30
The equation that represents the total number of card for all three people is 9x + 80 = 350
learn more on system of equation here: https://brainly.com/question/16683425?referrer=searchResults
to celebrate the world green day a school planted saplings at school for two days.on the first day 1536 saplings were planted.another 480 saplings were planted on the second day.estimate the total number planted.
Answer:
about 2000
Step-by-step explanation:
1536 rounded to the nearest hundred is 1500
480 rounded to the nearest hundred is 500
1500+500 is 2000
exact answer is 2016 and when rounded to nearest hundred it is 2000
guys pls help me!!!!!!!!
What to help
x=(-x+5)
Very easy
Will give brainliest!
Select all tables that represent a proportional relationship between x and y.
Answer:
A & D
Step-by-step explanation:
A:
[tex]y = \frac{6}{5} x[/tex]
D:
[tex]y = 4x[/tex]
Find the total cost. (How much you pay.
Original price of a car: $21,589
Tax: 9%
Answer:
23532.01
Step-by-step explanation:
21,589 x 1.09 = 23532.01
We add a 1 to 0.09 to make there fewer steps when doing it manually.
Answer:
$ 23,532.01
Step-by-step explanation:
21,589 x 0.09 = 1,943.01
21,589 + 1,943.01 = 23;532.01
Angle 4 and 6 are _____ angles
Answer:
opposite side interior angles
Step-by-step explanation:
Can you explain how to solve this please?
9514 1404 393
Answer:
-25
Step-by-step explanation:
Consult your memory of multiplication tables to determine the square root of 100.
10×10 = 100
√100 = 10
Then multiply that value by -2.5
-2.5×10 = -25
___
Of course, you can use a calculator or spreadsheet to evaluate this expression, too.
Four times two less than a number is the same as thrice one more than the number. Find the number.
Answer:
See below:
Step-by-step explanation:
We can first setup an equation by doing the following:
[tex]4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7 (5/7)[/tex]
Whole proccess above!
If you would like an explanation, please let me know so.
Its basically algebra and it's mainly on how you interpret it!
Have a nice day!
Frank can purchase bags of apples in four sizes. Which size is the best buy? *
25 points
2-lb bag for $3.33
3-lb bag for $4.70
4-lb bag for $5.14
5-lb bag for $6.20
Other:
The size of the bag to buy is 5-lb bag for $6.20
What is the unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Frank can purchase bags of apples in four sizes.
To find the best size, checking for the price of bags per pound,
1) 2-lb bag for $3.33
so, for 1 pound = 3.33/2 = $1.665
2) 3-lb bag for $4.70
so, for 1 pound = $1.56
3) 4-lb bag for $5.14
so, for 1 pound = 5.14/4 = $1.285
4) 5-lb bag for $6.20
so, for 1 pound = 6.20/5 = $1.24
In all the four size, the 5 pound bag is cheapest.
Hence, The size of the bag to buy is 5-lb bag for $6.20
For more references on unit rates, click;
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