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3 years ago

How can mental math help you find solutions to inequalities?

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

There are many examples the basics are also easy to remember.

Step-by-step explanation:

We can input these for the following equation.

x > 5

(x is greater than 5)

Then compare to - x < 5

(minus x is less than 5)

We try a sum

3x -2 ≤ 1

we can then balance subtract -2

3x ≤ -1

then divide by 3

x= -1 /3

We try another value

3x -2 ≤ 0

1 ≤ 3x

1/3 ≥ x

We can check that each equality fits and alter the number accordingly.

For the first one we are saying it is no greater than 1

For the second we say it is greater than zero.

We are able to prove both have the answer.

Just like when we look for negative percentages and count down we record this as we count in mental math.

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Please help i need the answer and how you got it!

Andreas93 [3]

Answer:

No, the pool will not fit.

Step-by-step explanation:

Radius of pool: 3.14 r^2= 379.94

Divide by 3.14: r^2= 121

Square root both sides: r=11

11>10, thus the pool won't fit.

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3 years ago

Find a polar equation of the conic in terms of r with its focus at the pole. Conic Eccentricity Directrix Parabola e = 1 x = −1

attashe74 [19]

Answer:

Step-by-step explanation:

From the given information:

The Directrix x = - 1

The eccentricity e = 1

Since the Directrix x = - 1, it implies that the directrix appears on the left negative side of the pole and is vertical.

Hence, the conic equation in terms of r is:

$\mathsf{r =\dfrac{ep}{1-e \ cos \ \theta}}$

From the directrix to the pole, the distance p = 1

So;

$\mathsf{r =\dfrac{1*1}{1-1 \ cos \ \theta}}$

$\mathbf{r =\dfrac{1}{1- \ cos \ \theta}}$

3 0

3 years ago

Postcards come in packages of 16. If 52 tourists each buy one package of postcards. how many postcards do they buy in all?

strojnjashka [21]

Answer:

In total the amount of post cards bought is 832.

Step-by-step explanation:

The equation is 52x16.

6 0

3 years ago

Consider the graph of the linear function () -

Ivan

The value of m to 2

But I’m not completely sure

4 0

3 years ago

Consider the 912 people to be a population. Let X be the number of times per week a person dines out for a person sampled at ran

konstantin123 [22]

Answer:

x`= ∑x P (x)

Step-by-step explanation:

The mean ca be calculated using the formula

x`= ∑x P (x) where x takes the value from 1,2,3,4......i

The sampling distribution is the probability distribution or the relative frequency distribution of the means X` of all possible random samples of the sample size that could be selected from a given population. The mean of this distribution is represented by Ux` and the standard deviation which is called the standard error of the mean S.E (X`)

The mean of the sampling distribution is equal to the population mean that is ux`= u whether the sampling is done with or without replacement.

8 0

3 years ago