Equations are used to represent functions, and vice versa.
The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
The function is given as:
[tex]\sqrt{6-y^2}=x[/tex]
Square both sides
[tex]6-y^2=x^2[/tex]
Subtract 6 from both sides
[tex]-y^2=x^2 - 6[/tex]
Multiply both sides by -1
[tex]y^2=6 - x^2[/tex]
Take square root of both sides
[tex]y=\sqrt{6 - x^2[/tex]
Express as a function
[tex]f(x) = \sqrt{6- x^2[/tex]
Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
Read more about functions and equations at:
https://brainly.com/question/13336451
the perimeter of a square is 44 cm find the area
Answer:
The given perimeter is \[44cm\]. Hence, the area of the given square is \[121c{m^2}\].
Step-by-step explanation:
At a local movie theatre, sodas cost$4.50 and bags of popcorn cost &1.50. Kirk buys three times as many bags of popcorn as sodas and pays a total of $36. Write a system of equations and solve it using any method to determine how many of each item Kirk bought.
Answer:
this might help
Step-by-step explanation:
this might be kinda similar
Chickens and rabbits
In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?
Correct answer:
chickens: 8
rabbits: 10
Step-by-step explanation:
a+b=18
2a+4b=56
a=8
b=10
a+b = 18
2•a+4•b=56
a+b = 18
2a+4b = 56
a = 8
b = 10
I need help with 7c please
Answer:
mx x 2 x1dadqd
Step-by-step explanation:
Josh has $72 in his bank account, and earns $7 each
week. Aurora has $82 in her bank account, and earns $5
each week.
At how many weeks will they have the same amount of
money in their bank accounts, and how much will that be?
Answer:
week 5 and 107 dollars
Step-by-step explanation:
Find the expected value of the winnings from a game that has the following payout probability distribution: Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 = Expected Value = [?] Round to the nearest hundredth. Enter
Multiply each payout by the corresponding probability, and add these up:
1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35
So one can expect to win $4.35 from playing the game.
Evaluate 4x^2 y^-3 for x=3 and y=-2
Answer:
36 and -1/8
Step-by-step explanation:
x^2 = 3^2 = 9 * 4 = 36
y^-3 = (-2)^-3 = -1/8
Answer:
-4.5.
Step-by-step explanation:
4x^2 y^-3
= 4x^2 / y^3
When x = 3 and y = -2
it is 4(3)^2 / (-2)^3
= 36 / -8
= -4.5.
Solve for k.
k/4+ 3= 14
Answer:
k/4+3=14
First you need to isolate the variable.
multiply both sides by 4
Help help help math math
Answer:
25%
Step-by-step explanation:
multiply it by 100 over 1 then divide the top by the bottom.
whats 5+5? please help quick quick quick
Answer:
It's 10 lol
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Because it is
Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answer: betina or adelita
Step-by-step explanation: hope it helps
Calculate the sum of integers x satisfying 15 ⋮ x and x < 0
Answer:
radius of the curve=r=150m
coefficient of friction=\muμ =0.6
As car is avoid skidding
\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}
↪
r
mv
2
=μmg
Cancel m
\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}
↪
r
v
2
=μg
\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}
↪v
2
=μrg
\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}
↪v
2
=0.6(10)(150)
\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}
↪v
2
=60(150)
\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}
↪v
2
=900
\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}
↪v=30ms
−1
Help help hep hep math
Answer:
f(3) = 2
Step-by-step explanation:
f(3) = 2(3) - 4
f(3) = 2
Find the least common multiple of 8y^2 and 7m
Answer: [tex]56y^2m[/tex]
which is the same as writing 56y^2m
====================================================
Explanation:
Let's focus on the coefficients 8 and 7 for now.
To find the LCM of those values, list out the multiples. Circle the smallest number that can be found in both sets at the same time.
multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, ...multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, ....We see that 56 is the LCM of 7 and 8.
Or you could use this shortcut
LCM = (x*y)/GCF
where x and y are the two numbers. The mention of "GCF" refers to the GCF of x and y. In this case, the GCF is 1 so,
LCM = (x*y)/GCF = (8*7)/1 = 8*7 = 56.
----------------------
Once we determine that, we look at the variable terms now.
The y^2 and m will be tacked onto the 56 to arrive at the final answer 56y^2m
This is because y and m are the unique variables, and we go for the highest exponent of each. It's similar to the LCM formula used earlier.
Deondra needs to order some new supplies for the restaurant where she works. The restaurant needs at least 624 glasses. There are currently 344 glasses. If each set on sale contains 20 glasses, write and solve an inequality which can be used to determine ss, the number of sets of glasses Deondra could buy for the restaurant to have enough glasses
Writing and solving an inequality to model the situation, it is found that Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.
There are currently 344 glasses.In each set bought, there are 20 glasses.Hence, the total of glasses after s sets are bought is given by:
[tex]T(s) = 344 + 20s[/tex]
The restaurant needs at least 624 glasses, hence:
[tex]T(s) \geq 624[/tex]
[tex]344 + 20s \geq 624[/tex]
Solving the inequality:
[tex]344 + 20s \geq 624[/tex]
[tex]20s \geq 280[/tex]
[tex]s \geq \frac{280}{20}[/tex]
[tex]s \geq 14[/tex]
Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.
A similar problem, in which an inequality is used to model a situation, is given at https://brainly.com/question/25235995
r less than one-eighth
Answer:
what did you mean
Step-by-step explanation:
is not a question
Please help me with this.
Answer:
a) 7 b) -5
Step-by-step explanation:
m=Y-y
X-x
a) (70-35)/(10-5)= 7
m= 7
b) (50--20)/(-10-4)= 70/-14 = -5
Helppp! I dont completly get the conceptttt
NEED HELP RN!!! PLS ☹️
Answer:
show the screen clearer !
Step-by-step explanation:
Find the projection of u onto v.
- Is the answer on the bottom correct?
I don’t understand, please help
Answer:
cosA=root8/3 is the answer
pls answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2rr
Step-by-step explanation:
Answer:
The domain is the x-values from least to greatest, while the range is the y-values from least to greatest. For this problem, domain would be [3, 18] and range would be [-12, 15].
Step-by-step explanation:
Since we know domain is the x-values listed from smallest to largest, we can order our values that way:
(3, -1), (5, 15), (7, -1), (11, -12), (18, -6).
3<5<7<11<18
That means the range is (3, 18). However, since both 3 and eighteen are included in the set, we use brackets. [3,18], putting the smaller number first, followed by a comma, and then the bigger number.
We will do the same for the range.
(11, -12), (18, -6), (3, -1), (7, -1), (5, 15)
-12<-6<-1=-1<15
This means the range is (-12, 15). Since -12 and 15 are included in the set of values, we use brackets. [-12, 15].
How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?
Step-by-step explanation:
How many ways are there to select 3 candidates from 8 equally qualified recent graduates for
openings in an accounting firm?
Help me out please???
Answer:
5
Step-by-step explanation:
The interquartile range is Q3-Q1.
in this problem, Q3=7 and Q1=2
3/4+x=2x−x+_
Make equation have infinite solutions in the blank
Answer:
3/4
Step-by-step explanation:
3/4+x=2x−x+_
2x-x is x
So the equation is now
3/4+x=x+_
So to have infinite solutions, we will have to get both of the sides the same value
Since there is already an x on both sides we don't have to worry about it
Now there isn't a 3/4 on one side so we can just add that to the blank side, thus creating an infinite solution equation
Hope this helps!
Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.
Answer: Max has 4 cards.
Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3
Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.
Answer:
4 cards
Step-by-step explanation:
Each card takes [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in
[tex]\frac{1}{6} x=\frac{2}{3}[/tex]
And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:
[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]
And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.
[tex]1x=\frac{12}{3}[/tex]
The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:
[tex]x=\frac{12}{3}[/tex]
And we can simplify the fraction...:
[tex]x=4[/tex]
And we are done!
Couldn't make a fraction bar but hopes this helps :(
To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?
Answer:
Step-by-step explanation:
So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated
3x+1
If your kinda a math nerd you will understand this one
Answer:
If you equal it to zero (3x+1=0) it will be x= 1/3
Step-by-step explanation:
Subract the 1 over to the 0 then divide the 3 over.
Please help me answer
Answer: Second Choice
Step-by-step explanation:
what is the equation of the circle graphed.
Answer:
Since the logarithmic function is define for ×>-3,thus,the graph has a vertical asymptote at ×=-3.
Which quadrilateral is a trapezoid?
Answer:
Hey mate!Step-by-step explanation:
A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)
pls mark me as brainliest!!