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3 years ago

How would I graph and solve this inequality?? Help please! Press question to view image.

Mathematics

2 answers:

Veronika [31]3 years ago

7 0

Well, x has to be anything from 5 or below, as it has to be subtracted by three and the answer has to be less than 4. so, x=y<5 (first one)

negative 3 times a number = less than negative 12. so, the higher the number, but negative, is less than. (example:-52<-3) so, |x| is x=4>y
sorry if unclear...

yan [13]3 years ago

6 0

Check the picture below.

$\bf |x|-3\le 4\implies |x|\le 7\implies \boxed{-7\le x\le 7}
\\\\\\
-3|x|\ \textless \ -12\implies |x|\ \textgreater \ \cfrac{-12}{-3}\implies |x|\ \textgreater \ 4\implies \boxed{4\ \textless \ x\ \textless \ -4}$

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I need help with this table if anyone can help me it would be my blessing to you and could you maybe show me how to do it?

dusya [7]

This is a hard one bro

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3 years ago

Find the volume of this square based pyramid. 10 cm 8 cm 8 cm V = [?] cm3

oksano4ka [1.4K]

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

3 0

3 years ago

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using a

givi [52]

Answer:

8 is the side length of the greater square. 100=x^2+(x-2)^2

Step-by-step explanation:

64+36=100

8 squared plus 6 squared equals 10 squared

8 is 2 more than 6

100=x^2 +y^2

x-y=2

100=x^2+(x-2)^2

7 0

3 years ago

Match each expression written in standard form to the equivalent expression in factored form

den301095 [7]

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

4 0

3 years ago

two high school students are hired to rake leaves. They will work a couple hours each afternoon until the job is completed. They

Schach [20]

Answer:

x = 14 days

Step-by-step explanation:

To answer the question, find a function that represents the payment mode of plan A and an equation that represents the mode of payment of plan B.

For Plan B the payment is constant every afternoon, $ 11.5 (or 1150 cents) so the equation to represent this form of payment is as follows:

A = 1150x (with units in cents)

This equation represents the line of a line of slope 1150, which passes through point (0,0). Where x is the number of days {1, 2, 3 ....}

In form of payment B, the amount of payment is doubled each day. And the first payment is 2 cents. Therefore this model is represented by an exponential base 2 equation of the form:

$B = (2) ^ x$

Where x represents the number of days, which is always greater than 0 {1, 2, 3, 4 ...}

To know in which day the salary will be approximately the same we equate both equations and we clear x.

A = B

$1150x = (2) ^ x\\1150x- (2) ^ x = 0$

It is a somewhat difficult equation to solve, so I recommend iterating to get a value where the function approaches 0 (when this difference is zero it means that the A and B salaries are the same).

Suppose

x = 13 days

$1150(13) - (2) ^ {13} = 6758$ cents

It is not equal to 0.

Let's try with x = 15

$1150(15) - (2) ^ {15} = -15518$ cents

Then the value that makes the function zero is between x = 13 and x = 15

Let's try with x = 14

$1150(14) - (2) ^ {14} = -284$ cents = 2.84 $ difference. X = 14 is the whole number where functions A and B are closer together (the salary is approximately the same). Therefore the answer is

x = 14 days

4 0

3 years ago