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3 years ago

When solving a system of equations graphically, when would you need to estimate the solution? Explain

Mathematics

2 answers:

NikAS [45]3 years ago

9 0

Sample response:

Graphs in which both the x- and y-values for the intersection point are not integers need to be estimated because the lines do not intersect on a grid line where it is easy to read what the values are.

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SashulF [63]3 years ago

8 0

Answer:

To solve an equation means to find all the values that should satisfy the given statement. To solve an equation graphically, draw the graph for x and y of the given equation and notice where the curves cuts should be equal.

Step-by-step explanation:

Solving system of linear equations by using graph:

A system of linear equations contains atleast two equations.For example y=5x+2 and y=x.The solution of both equations can be denoted as a ordered pair.To solve the system of linear equations we have to plot the points in the graph for both equations in coordinate system must be same.The intersection of two straight lines is the solution(point) for the given system.

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The sum of the first 65 odd, positive integers is?

Aleksandr [31]

$1+3+5+7+9+11+...\\\\This\ is\ an\ atihmetic\ progression\ where\ a_1=1\ and\ d=2.\\\\The\ sum:S_n=\frac{2a_1+(n-1)d}{2}\cdot n\\\\S_{65}=\frac{2\cdot1+(65-1)\cdot2}{2}\cdot65=\frac{2+64\cdot2}{2}\cdot65=\frac{2+128}{2}\cdot65\\\\=\frac{130}{2}\cdot65=65\cdot65=4225$

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3 years ago

Why does the equation 9−2x−9−16x=−14x−7−4x−11 have no solutions?

DENIUS [597]

Answer:

Because if you add 18x to both sides of the equation, you get 0 = -18

Step-by-step explanation:

When you combine like terms in the equation, you get -18x = -18x - 18. After adding 18x to both sides, you have 0 = -18. This is not true, which means that there are no solutions to the equation.

6 0

3 years ago

In a group of 20 pupils, 3 play the flute only.

spin [16.1K]

Answer:

$\dfrac{1}{4}$

Step-by-step explanation:

Given information:

Total number of pupils = 20
3 pupils play the flute
6 pupils play the piano only
6 play both instruments

We can assume that 3 pupils play the flute only as we have also been told that 6 pupils play both instruments.

To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:

⇒ total number of pupils - pupils who play instruments

⇒ 20 - (3 + 6 + 6)

⇒ 20 - 15

⇒ 5

Therefore, 5 pupils do not play the piano and/or flute.

To calculate probability:

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Therefore:

$\implies \textsf{Probability of a pupil playing neither instrument} = \dfrac{5}{20}=\dfrac{1}{4}$

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2 years ago

Read 2 more answers

Item 16 Solve the equation. −4/9f=−3

Tasya [4]

F=27/4 equation is solved

8 0

4 years ago

Read 2 more answers

3.152 repeating into a improper fraction

LenaWriter [7]

3 19/125

You can take any number, such as 3.152, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

3.152 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 3.152, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:

3152 / 1000

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 3152 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following:

394 / 125

Therefore, 3.152 as a fraction is as follows:

394 / 125

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3 years ago