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3 years ago

Give an example in which system of equations will infinitely many solutions.

Mathematics

2 answers:

faltersainse [42]3 years ago

6 0

Answer:

x + y = 2.

2x + 2y = 24.

Step-by-step explanation:

The equations' lines on the coordinate grid are the same. One equation is a multiple of the other. Any point on the line is a solution so there are infinite solutions.

Example:

x + y = 12

2x + 2y = 24

The second = first one * 2.

djyliett [7]3 years ago

3 0

Answer:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

Step-by-step explanation:

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Write a unit rate for the situation. $1.98 for 6 bananas

USPshnik [31]

A unit rate is when you find a rate when one variable (or value) is equal to one.

Let's find the unit rate for the price of the bananas.

1.98/6= 0.33

It is 33 cents for one banana. That is the unit rate.

I hope this helps!
~kaikers

4 0

3 years ago

Find the surface area of the figure

IgorLugansk [536]

Answer:

Area of a Square it base x height so 4x4=16+16 = 32 in^2

Step-by-step explanation:

3 0

3 years ago

PLZ HELP ME WITH THIS ONE ALSO :)

Norma-Jean [14]

Answer:

$9 \times \sqrt{3 }$

Step-by-step explanation:

$x = \cos(30) \times 18 \\ x = 9 \sqrt{3}$

5 0

3 years ago

Please solve the math question: |4x−4(x+1)|=4

alexgriva [62]

Answer:

x has infinite solutions

Step-by-step explanation:

|4x−4(x+1)|=4

Simplify inside the absolute value by distributing the 4

|4x−4x+4|=4

Combine like terms

|4|=4

The absolute value of 4 is 4

4=4

This is always true, so x is all real values

x has infinite solutions

3 0

3 years ago

Read 2 more answers

Consider the following hypothesis test: H0: LaTeX: \mu_1-\mu_2=0μ 1 − μ 2 = 0 Ha: LaTeX: \mu_1-\mu_2\ne0μ 1 − μ 2 ≠ 0 The follow

Pavel [41]

Answer:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

Step-by-step explanation:

Data given and notation

$\bar X_{1}=104$ represent the mean for the sample 1

$\bar X_{2}=106$ represent the mean for the sample 2

$\sigma_{1} =8.4$ represent the population standard deviation for the sample 1

$\sigma_{2}=7.6$ represent the population standard deviation for the sample 2

$n_{1}=80$ sample size for the group 1

$n_{2}=70$ sample size for the group 2

z would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the means for the two groups are the same, the system of hypothesis would be:

H0: $\mu_{1}-\mu_{2} =0$

H1: $\mu_{1} -\mu_{2} \neq 0$

If we analyze the size for the samples both are greater than 30 and we know the population deviations so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

First we need to calculate the mean and deviation for each sample, after apply the formulas (2) and (3) we got the following results:

And with this we can replace in formula (1) like this:

$z=\frac{104-\bar 106}{\sqrt{\frac{8.4^2}{80}+\frac{7.6^2}{70}}}}=-1.53$

7 0

3 years ago