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Alexeev081 [22]
4 years ago
5

Colin found 22 more mushrooms than Sophie did while they were out picking them in the forest. On the way home, Sophie asked Coli

n to give her some mushrooms so that they would have equal amounts. How many mushrooms should Colin give to Sophie?
Mathematics
1 answer:
Vinvika [58]4 years ago
4 0

Answer:

11 mushrooms

Step-by-step explanation:

If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.

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The graph of a quadratic function f(x) intersects the x-axis At -3 and 5. Create a function that would produce these results.
FinnZ [79.3K]

Answer:

f(x) = x² - 2x - 15

Step-by-step explanation:

∵ The function intersect x-axis at -3 and 5

∴ f(x) = 0 at x = -3 , 5

∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0

                                                                       ax² - b/a x + c/a = 0

Where the sum of its roots is b/a and their multiplication is c/a

∵ a = 1

∵ -3 , 5 are the roots of the quadratic equation

∴ b = -3 + 5 = 2

∴ c = -3 × 5 = -15

∴ f(x) = x² - 2x - 15

6 0
4 years ago
The graph of f(x) shown below had the same shape as the graph of g(x)=x2 but is shifted up by 3 units
Amiraneli [1.4K]

If the graph has exactly the same shape, and just moved up 3 units,

the equation of this new graph is

f(x) = x² + 3

7 0
3 years ago
If x -√2=√8, then what is the value of x?
Amiraneli [1.4K]

Answer:

x = 3 sqrt(2)

Step-by-step explanation:

x -√2=√8

Add sqrt(2) to each side

x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)

x = sqrt(8)+ sqrt(2)

Rewriting sqrt(8)  as sqrt(4) sqrt(2) = 2 sqrt(2)

x = 2 sqrt(2)+ sqrt(2)

x = 3 sqrt(2)

3 0
4 years ago
Read 2 more answers
I need helppppppppppp​
Alecsey [184]
Sheeesh good luck with that try to ues the internet that could help
5 0
3 years ago
Option 1: There are three ways to solve systems of linear equations: by elimination (sometimes called addition), by substitution
Bingel [31]

Answer:

There are three diferent methods for solving linear equations. We get same answer by solving with any of them but each of them has its own advantages and disadvantages.

Step-by-step explanation:

The different methods for dolving the linear equations are:

  • Substitution
  • Elimination
  • Graphing

The advantages and disavantages with examples are as follows:

A: Substitution- In this we write an equation for second variable when the first is given which gives an advantage. It is considered best when one or both the equation is solved for any one of the variable.

When we have one of  the variable whoes coefficient is 1 it works well.

Example:

Let the equation be

x={10}-{1}

we can substitute this value in another equation,

Then in that case,

x={-3}\times{10}-{y}+{2y}

 ={5}-{30}+{3y}+{2y}

 ⇒5y=35

 ⇒y=7.

Now, as we have value for one variable we will substitute it in the first equation given, we will get

x=3.

B: Elimination- It is the best method to use. it is used when both of the given equation are in standard form. It is also used when all the given variables have a coefficient other than 1.

C: Graphical representation- It is best used when a new student is trying to learn equation solving as it gives a visual idea of solving the linear equation. The disadvantages associated with it is that it takes more time than the other two methods and is also less exact. It should be recommended only when we get a question to be solved with a graph.

4 0
4 years ago
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