Witch equation can be simplified to find the inverse of y=5x^2+10

Answers

Answer 1

Answer:

[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]

Step-by-step explanation:

[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]


Related Questions

A number x is no less than 18

Answers

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

What is 196.7 16 in simplest form?

Answers

70/196 is 5/14
GCD OF 70 and 196 is 14
70 divided by 14
196 divided by 14
Reduced fraction: 5/14

Please help I don’t understand!!

Answers

Answer:

[tex] \frac{5(x + y)}{ - 8x} [/tex]

Step-by-step explanation:

quotient means division

numerator is the top

denominator is the bottom

product means multiply

sum means add

Pls help I’ll brainlest

Complete the activities below

Answers

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

rate of change or slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{rise}{run}[/tex]

y = mx + b

"b" is y-intercept

~~~~~~~~~~~~~~~~~~~

A’= _ , _

B’= _ , _

C’= _ , _

Answers

Answer:

if it's only translated left 3, then it should be A (-5, -1) B (-1, -1) and C (-1, 2)

A. (-5,-1) B.(-1,-1) c (-1,2) is the answer

ABCD is a parallelogram. Determine the length of BE.

Answers

Answer:

BE = 102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other , so

DE = EB , that is

- 8x + 14 = 3 - 9x (add 9x to both sides )

x + 14 = 3 ( subtract 14 from both sides )

x = - 11

Then

BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units

Answer:

A

Step-by-step explanation:I've took the test

solve each system of linear equations 3x+y=9, 7x+y=32 ​

Answers

Answer:

x=23/4, y=-33/4

Step-by-step explanation:

3x+y=9

7x+y=32

3x+y=9

y=9-3x

7x+y=32

7x+(9-3x)=32

7x+9-3x=32

4x+9=32

4x=23

x=23/4

3x+y=9

3(23/4)+y=9

69/4+y=9

y=-33/4

The solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a system of linear equations as -

3x + y = 9

7x + y = 32 ​

We can write -

3x + y = 9

y = 9 - 3x

Now, we can write the equation as -

7x + y = 32

7x + 9 - 3x = 32

4x + 9 = 32

4x = 23

x = 5.75                         .... (1)

The, we can write {x} as -

y = 9 - 3 x 5.75

y = 9 - 17.25

y = - 8.25                         ... (2)

Therefore, the solution set to the given system of linear equations is -

{x} = 5.75 and {y} = - 8.25.

To solve more questions on algebraic expressions, visit the link below -

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John made 357$ for 17 hours of work.
At the same rate, how many hours would he have to work to make $237???

Answers

Answer: 14 hours

Step-by-step explanation: First I found the unit rate of how much money per hour. So, 357 divided by 17 = 21. So know I know that she earns 21$ per hour. Then, I did 237 divided by 17 which would be 13 remainder 16. Since he only get paid if he works for a full hour, I think the answer would be 14.

[tex]\begin{array}{ccll} \$&hrs\\ \cline{1-2} 357&17\\ 237&x \end{array}\implies \cfrac{357}{237}=\cfrac{17}{x}\implies \implies \cfrac{119}{79}=\cfrac{17}{x}\implies 119x=1343 \\\\\\ x = \cfrac{1343}{119}\implies x = \cfrac{79}{7}\implies x = 11\frac{2}{7}\leftarrow \textit{11 hours, 17 minutes and 8 seconds}[/tex]

Pls Find the value of x

Answers

[tex]x + 104 + 28 = 180 \\ (140 + 28 = 132) \\ x = 132[/tex]

[tex]\sf\longmapsto x + 104 + 28 = 180[/tex]

[tex]\sf\longmapsto x = (104 + 28) = 132[/tex]

[tex]\sf\longmapsto x = 132[/tex]

simplify 8x-5-10x+7 GCF

Answers

Answer:

-2x + 2

Step-by-step explanation:

Which of the following is described below?
This object goes forever in opposite
directions. It is infinitely skinny, as it is a
set of points that are all lined up.
A. Point
B. Line
C. Ray
D. Segment

Answers

Answer:

B. line

Step-by-step explanation:

A line would fit this description best. A ray wouldnt work because it goes on infinitely in one direction. A point wouldnt work because it is a dot that marks a location, and a segment is bound by 2 points, and cannot go on forever.

The given description would be best fitting to a "line", which is the correct answer would be an option (B).

What is the line?

A Line is formed by a set of points traveling in a straight line but in opposite directions. It has no breadth, no depth (curvature), and no termination, which implies 'it will not finish,' hence it moves in a straight line in opposing directions indefinitely.

This object goes forever in opposite directions. It is infinitely skinny, as it is a set of points that are all lined up.

This description would be best suited to a line.

A ray would not operate since it extends in one direction indefinitely. A point would not work since it is a dot that indicates a position, but a segment is constrained by two points and cannot continue indefinitely.

Hence, the correct answer would be an option (B).

Learn more about the Slope of the Line here:

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What’s is 43-14 as a percent

Answers

29 percent is your answer


Which of the following numbers is proportional to 84/108?
1. 86/110
2.98/126
3.64/72
4.91/104

Answers

Proportional numbers are numbers with the same equivalent ratio

98/126 is proportional to 84/108

The number is given as:

[tex]Number = \frac{84}{108}[/tex]

Reduce fraction to the lowest term

[tex]Number = \frac{7}{9}[/tex]

Reduce 86/110 to the lowest term

[tex]Number = \frac{86}{110}[/tex]

Divide by 2/2

[tex]Number = \frac{43}{55}[/tex]

43/55 is not equivalent to 7/9

Reduce 98/126 to the lowest term

[tex]Number = \frac{98}{126}[/tex]

Divide by 14/14

[tex]Number = \frac{7}{9}[/tex]

7/9 is equivalent to 7/9.

Hence, 98/126 is proportional to 84/108

Read more about proportional numbers at:

https://brainly.com/question/1781657

JACKIE BROUGHT 3/4 OF A GALLON OF ICED TEA TO THE PARTY. BILL BROUGHT 7/8 OF A GALLON OF ICED TEA TO THE SAME PARTY. HOW MUCH ICED TEA DID JACKIE AND BILL BRING TO THE PARTY?

Answers

Answer:

your welcome... hope this helps

Step-by-step explanation:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25, what are the costs of basketball game tickets and football game tickets?

Answers

Answer:

Basketball: $6.75

Football: $7.50

Step-by-step explanation:

lmk if you want an explanation

The costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25.

The linear equation can be framed:

3x + 4y = 50.25

5x + 5y = 71.25

Here x is the cost of basketball game tickets and y is the football game ticket.

After solving the above linear equation by substitution method,

5([50.25 - 4y]/3) + 5y = 71.25

y = $6.75

x = $7.5

Thus, the costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

Learn more about the linear equation here:

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a^3/2a^0 simplify pls i need help

Answers

Answer:

a^3/2

Step-by-step explanation:

a^3/2a^0

We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as

a^3/2(1)

We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2

Thus, our simplified expression is

a^3/2

Suppose that $ 700 is invested at 5.42% compounded continuously. How much is in the account after 18 years? Round your answer to the nearest cent. Write only a number as your answer. Do not write any units.

Answers

Answer:

Hello!

This word problem uses the common equation called; [tex]A=Pe^{rt}[/tex]

A = Pe^rt

P=700

e= e

r = 0.0542

t = 18

This is what you get when you plug in the according information.

700e^(0.0542*18)

700e^0.9756

=1856.9308

We need to put this into the nearest cent.

=1856.93

Have a great day!

I hope this helps you!

1. A FoodPanda rider believes that his tips from various customers has a slightly right skewness with a mean of RM10 and a standard deviation of RM2.50. a. Calculate the mean and standard deviation of the sampling distribution of this tips for a sample of 25 customers. Describe the shape of its sampling distribution. [4 marks]​

Answers

Using the Central Limit Theorem, it is found that:

The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, if the sample size is at least 30, the shape is approximately normal, otherwise it still is skewed.

In this problem, the mean is of 10 and the standard deviation is of 2.50, hence [tex]\mu = 10, \sigma = 2.5[/tex]

Sample of 25, hence [tex]n = 25, s = \frac{2.5}{\sqrt{25}} = 0.5[/tex]

Since the underlying distribution is skewed and the sample size is less than 30, the shape of the sampling distribution is slightly right skewed.

The sampling distribution is slightly right skewed, with mean of RM 10 and standard deviation of RM 0.5.

A similar problem is given at https://brainly.com/question/25817309

Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.​

Answers

no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes?  on average a shirt cost 15 bucks but 19? yeah no

Answer:

Step-by-step explanation:

no why? cause the guy bought 2 shirts for 19 dollors each where was he at nikes?  on average a shirt cost 15 bucks but 19? yeah no

ayden evaluated the expression a ÷ (2 + 1.5) for a = 14. He said that the value of the expression was 8.5. Select all the statements that are true.

Jayden's solution is incorrect.

Jayden added inside the parentheses before dividing.

Jayden substituted the wrong value for a.

Jayden divided 14 by 2 and then added 1.5.

Jayden added inside the parentheses before multiplying.

Answers

Answer:

Jayden's solution is incorrect.

Jayden divided 14 by 2 and then added 1.5

Jayden substituted the wrong value for a.

Enrique bought a football and a puzzle at a store.



He paid $15.35 for the football.
He paid a total of $24.02 for the football and the puzzle.

​How much did Enrique pay for the puzzle, in dollars and cents?

Answers

Answer:

8 dollars and 67 cents...8.67

Step-by-step explanation:

5 dollar bill

3 one dollar bills

2 quarters

1 dime

1 nickel

2 pennies

Help me please i really need it​

Answers

Answer is    35:25:81

=======================================================

Explanation:

The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.

We have:

50 red70 green42 yellow50+70+42 = 120+42 = 162 total

The ratio of green to red to total is 70:50:162

To reduce the ratio, we divide all three parts of that ratio by the GCF 2

70/2 = 3550/2 = 25162/2 = 81

The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.

This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.

HELP ASAP! QUICK ALGEBRA 20 POINTS!!!!!!! WILL AWARD BRAINLIEST

Answers

Answer:

On the first image: if 45 divides the number, it means you can rewrite it as 45 times something. Let's play with powers of 9 to see if you can make a 45 or rewrite it as a product of a power of 9 and a power of 5.

On the second and third images, it's just a matter of collecting common factors. I collected the minus sign so the parenthesis starts with a positive term, but it's a matter of personal preference.


I’m genuinely confused on this, can someone explain how to do this problem?

Answers

Answer:

[tex]n \times 12[/tex]

.......

Can someone please help me I will mark u brilliant

Answers

Answer for the first question: There are 13 pieces of pie left.

Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.

3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.

1/2= 4 because you just divide 8 by 2.

3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.

Therefore, there are 13 pieces of pie left.

1. First, let's have the pieces have the same denominator: 8!

3/8 is already fine

1/2 = 4/8

3/4 = 6/8

Now add up the numerators: 13 pieces were eaten.

Since there are 3 pies, there's 24 pieces total

24 - 13 = 11

11 pieces are left over

2. First, 3/4 x 6 = 4.5

1 1/2 x 5 = 7.5

4.5 + 7.5 = 12

-5 + 12 = 7

At 5:00 pm, it was 7 degrees.

Hope this helps!

How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles

Answers

Answer:

1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

6 minutes          x minutes

----------------  = ------------------

18 miles                  1 mile

Using cross products

6 * 1 = 18 x

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 = x

1/3 minutes

Mark used 14 bananas, 15 oranges, and 24 strawberries in his fruit salad.
Dani used 7 bananas, 9 oranges, and 12 strawberries. Did Mark and Dan
use the same ratio of bananas to strawberries? *

Answers

Answer:

yes-

Step-by-step explanation:

im not to sure if its right but

7+7=14

12+12=24

A car is traveling at a speed of 70 miles per hour. What is the car's speed in miles per hour? How many miles will the car travel in 5 hours?

Answers

350 miles is the answer explanation- if your going 70 mph you make 70 miles in 1 hour so to get the miles for 5 hours you would multiply 70x5=350

A fair coin is tossed (heads or tails) 9 times. What is the probability that the coin will land “heads” exactly 3 out of the 9 times?

Answers

Answer:

Step-by-step explanation:

The total number of tosses is 9

The number of successes is 3

P(heads 3 times ) = 3/9

P(heads 3 times) = 1/3

There are 110 students on the team. 100% of them will be off for break. How many students are on break?

Answers

Answer:

110

Step-by-step explanation:

100% of 110 means all of 110, which is just 110.

Are you sure you didn't make a typo here because I'm pretty sure this wouldn't be given on a homework. Just wondering.

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