The inverse of the function y = 10x² - 4 is given by y = ±√[(x + 4) / 10].
To find the inverse of the function y = 10x² - 4, we need to interchange the variables x and y and then solve for y.
Let's start by rewriting the equation with x and y switched:
x = 10y² - 4
Next, let's isolate the term with y by adding 4 to both sides:
x + 4 = 10y²
To isolate y, divide both sides by 10 and then take the square root:
(y²) = (x + 4) / 10
y = ±√[(x + 4) / 10]
Therefore, the inverse of the function y = 10x² - 4 is given by y = ±√[(x + 4) / 10].
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james and elaine shares a box of sweet in the ratio 2:3 what fraction of sweets does james receive and how much elaine receive
Answer:
SEE BELOW FOR ANSWER
Step-by-step explanation:
THE PROBLEM TELLS US JAMES AND THEN ELAINE
SO THE RATIO IS JAMES 2 AND ELAINE 3
JAMES RECEIVED 2 AND ELAINE 3
PLS MARK BRANLIEST IT WOULD HELP ME OUT ALOT TYSM GOD BLESS
Multiply. Select the product in simplest form.
3/5 x 5/9
Answer:
1/3
Step-by-step explanation:
3/5 x 5/9 = 15/45 and when you divide by 15 it equals 1/3
What is the answer for this equation (1/2)(-1/8)
Answer: I think its -0.0625
Answer:
-.065 pretty sure have a good day
what fraction represents the value of sin a in️ ABC
y is inversely proportional to a*3. when y=10, a=2. a is directly proportional to x. when x=4, a=20. find the formula of y in terms of x
The first statement should be;
y is inversely proportional to a³.
Answer:
y = 0.64/x³
Step-by-step explanation:
y is inversely proportional to a³. This is;
y ∝ 1/a³
Thus, y = k(1/a³).
Where k is the constant of proportionality.
When y = 10, a = 2.
Thus; 10 = k(1/2³)
10 = k/8
k = 80.
Thus; y = 80(1/a³) - - -(1)
Also, a is directly proportional to x. Thus;
x ∝ a
So, x = ka
when x = 4, a = 20
Thus;
4 = 20k
k = 4/20
k = 1/5
Thus;
x = a/5
a = 5x
Put 5x for a in eq 1 to get;
y = 80(1/(5x)³)
y = (80/125) × 1/x³
y = 0.64/x³
4. Which of these points does not lie on the graph of y=-2x+7?
(A) (-1,9
(B) (4,-1)
(C) (-3,1)
(D) (-2.11)
The point (-3,1) is not passing through the graph y = -2x + 7 so option (C) will be correct.
How to plot a graph?
A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
Given that a line y=-2x+7
Now in order to satisfy any point of this function then the value or
coordinate should satisfy the function or line.
So by checking option (A) 9 = -2(-1) + 7 = 9 so its satisfy.
So all options except (C) are satisfying.
Option (C) ⇒
-2(-3) + 7 ≠ 1
Hence "The point (-3,1) is not passing through the graph y = -2x + 7".
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What’s the answer to this? I’ll mark you brainliest if you tell me the answer/what to put 3
Answer:
domain is basically x and range is y, so -2,5 -2 is domain and 5 is range
Step-by-step explanation:
Helppp plzzzzzzz i need some help
Step-by-step explanation:
x² + 8x + 15
(x²+5x)+(3x+15)
x(x+5) + 3(x+5)
(x+3) (x+5)
You can notify me if you don't understand
Answer:
x-ints: (-5,0) and (-3,0)
Factors: (x+5)(x+3)
Step-by-step explanation:
First, make the equation equal 0. Then, because x² is x × x, factor it by doing a diamond, so you're seeing what times 15 equals 8, so 3 times 5. The factors would be (x+5)(x+3).
Then, to get the x-ints, put that back into the equation: (x+5)(x+3)=0.
-5 + 5=0 and -3 + 3=0, so x=-5 and -3, so the x-ints are (-5,0) and (-3,0)
(I got u and hope this helps :P)
Need help on this please help
Answer:
209.8
Step-by-step explanation:
Length 11.5
Width 4
Height 3.8
Formula: 2(wl+hl+hw)
An amateur drama group hire a theatre for their production. They expect to sell all 850 tickets, some at $12 and the rest at $8. The group require the ticket sales to cover their $3760 production costs and to make a profit of $4000. If they are to exactly achieve this target and their expectations regarding ticket sales are correct how many of the 850 tickets should they charge $12 for and how many should they charge $8 for?
Answer:
610 tickets for $8, and 240 tickets for $12.
Step-by-step explanation:
x + y = 850
8x + 12y = 7760
x = 850 - y
8(850-y) + 12y = 7760
6800 - 8y + 12y = 7760
4y = 960
y= 240
x + 240 = 850
x= 610
Answer:
240 = no. of $12 tickets
610 = no. of $8 tickets
Step-by-step explanation:
Let x = no. of $12 tickets
y = no. of $8 tickets
12x = income from selling x $12 tickets
8y = income from selling y $8 tickets
If they are to make a profit of 4000, then they need to have a total income from sales of $7760
So, x + y = 850 and 12x + 8y = 7760
y = 850 - x 12x + 8(850 - x) = 7760
12x + 6800 - 8x = 7760
4x + 6800 = 7760
4x = 960
x = 240 = no. of $12 tickets
y = 850 - 240
= 610 = no. of $8 tickets
James purchases tickets for the New York Knicks. He gives seven tickets to his colleagues. If James is left with 8 tickets, how many tickets did he purchase?
Answer:
He purchased 15 tickets.
Step-by-step explanation:
First you gather your important information/ numbers
-7
-8
- how many tickets did he purchase?(+)
Then you create your equation and solve
7+8=15
Which function is best represented by this graph?
Answer:
D.
Step-by-step explanation:
You just have to try it out for some points. I tried it for (-4,-3), (0,0), (7,0)
Jose rents a bike for $4 plus $2.50 per hour. ELaine rents a moped for $10 plus $1 per hour write and solve the system of equation to determine at what point they spend the same amount
I need an answer quick
Answer:
Jose: Y= 2.50x +4
Elaine Y= 1x +10
same at 4
Step-by-step explanation:
Plz help I can’t solve it
i think 10 cause 5+5 =10 sorry if it is wrong
Step-by-step explanation:
Wouldn't the answer just be 10% because everytime it moves, it increases by 10
inches 7 inches 18 inches area
The area is just the dimensions multiplied, so multiply 7 by 18 and you get 126.
Answer:
Step-by-step explanation:
7inchx18inch= 126inch
The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Napster, you must be a member. The Napster membership is $10.
In addtion, each song cost $0.89. Write the equation to determine when iTunes and Napster will cost the same amount.
Equation:
Answer:
It will take 100 songs for the monthly price of Napster to cost the same as iTunes.
Step-by-step explanation:
Let's create two equations to represent iTunes (T(d)) and Napster (N(d)):
T(d)=0.99d
N(d)=0.89d+10
In order for us to find when the two prices will be the same, let's set the equations equal to each other and solve for x:
0.99d=0.89d+10
0.1d=10
d=100
A tax is a restaurant charge based on a percentage of each meal price. The expression shown represents the tax on a meal price,p. 0.06p create an expression, in terms of p, to represent the total amount the restaurant charges for a meal, including tax PLEASE HELP
Answer:
56=90=21
Step-by-step explanation:
Please help me asap!!!
Answer:
1.Front and back=40.Top and bottom =80.lwft and right =32 multiply everything by 2 then add it all
Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit
Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit
Reflection over the x-axis followed by a translation to the left by 1 unit
Reflection over the y-axis followed by a translation to the right by 1 unit
Answer:
Reflection over the y-axis followed by a translation to the right by one unit.
Step-by-step explanation:
Answer:
Reflection about the Y axis followed by a translation to the left by two units
Step-by-step explanation:
Got it right on test!
WILL GIVE BRAINLIEST:
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a six?
Answer:
you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a five? 5. 1. 2. 6. Submit. Submit. Continue. Correct!
Step-by-step explanation:
Answer:
There is a 1/36 chance that you will roll a 6.
Step-by-step explanation:
This would be the same for any other number in the dice if it rolled 6 times.
Hope this helps.
Jackson's mom prepares 3/4 of a pound of fudge for his class Valentine's Day party. Only 1/3 of the fudge is eaten. How much of a pound of fudge is eaten?
Paco rides his bike for hour. He wants to ride his bike for 1 hour total
How much longer will Paco ride his bike?
Answer:
Step-by-step explanation:
Answer:
He should stop because he rode for A hour and Paco only wants to ride 1 hour total.
Step-by-step explanation:
What is the constant of proportionality what does it mean
Answer:
The constant of proportionality is the ratio between numbers that expresses the rate at which the numbers increase or decrease. These two numbers are directly proportional when they increase and decrease at the same rate.
In ΔMNO, n = 85 inches, o = 10 inches and ∠M=56°. Find the length of m, to the nearest inch.
Answer:
80
Step-by-step explanation:
Delta math math
The length of m in triangle MNO is approximately 80 inches.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
In ΔMNO, n = 85 inches, o = 10 inches, and ∠M=56°.
In this case, we are given the lengths of sides n and o and the measure of angle M. We can use the law of cosines to solve for the length of side m:
⇒ m² = n² + o² - 2 × n × o × cos(∠M)
We are given that n = 85 inches, o = 10 inches, and ∠M = 56°. We can use these values to solve for m:
⇒ m² = 85² + 10² - 2 × 85 × 10 × cos (56°)
We can use a calculator or look up the value of cos 56° to find that it is approximately 0.6. Plugging this value into the formula above gives us:
⇒ m = 79.8397 ≈ 80 inches
Therefore, the length of m in triangle MNO is approximately 80 inches to the nearest inch.
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josh is the one that can be
Answer:
...
Step-by-step explanation:
Thanks for the points i guess l.mao
Express using Algebra 15% of A
Answer:
0.15 x A
Step-by-step explanation:
15% is equal to 0.15
of means multiplication
0.15 x A
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?
Answer:
y=1/4x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-2)/(12-(-4))=4/(12+4)=4/16=1/4
y-y1=m(x-x1)
y-2=1/4(x-(-4))
y-2=1/4(x+4)
y=1/4x+4/4+2
y=1/4x+1+2
y=1/4x+3
83 is 100% of what number
Answer:
83
Step-by-step explanation:
100% is the total, the whole
Answer:
83
Step-by-step explanation:
You have 100%
change that to a decimal
you now have 1.00
multiply 83 by 1
you have 83
17. Joan's Candy Emporium is having a sale. Three pounds of gummy bunnies are
selling for $5.97. What is the unit rate (cost per pound) for gummy bunnies? *
Answer:
$1.99 per pound
Step-by-step explanation:
5.97 / 3 = 1.99
8 less than a number is less than 10 and the difference between a number and 22 is no more than 14
Answer:
wow owo uwu
Step-by-step explanation: