All categories

3 years ago

PLEASE HELP!! Thank you!!!!

Mathematics

1 answer:

SVEN [57.7K]3 years ago

6 0

Answer:

The answer to your question is

Step-by-step explanation:

Data

4x - 8y = -16 ------------ (I)

x - 2y = - 8 ------------ (II)

a) Solve equation II for x

x = 2y - 8

Substitute x in equation I

4(2y - 8) - 8y = -16

8y - 32 - 8y = -16

8y - 8y = 32 - 16

0 = 16 The system has no solution because y was

cancelled.

b) When a system of equations do not have solution means that the lines are parallels and different.

You might be interested in

2. Continuous data are usually _____________________, but discrete data are usually ______________________.

Mrrafil [7]

Answer:

Measured and Counted.

Step-by-step explanation:

Continuous data are usually “Measured”, but discrete data are usually “Counted”.

The continuous data are the data that can be measured, for example, Height of children, time in the race, length of leaf, etc. In this case, the data is taken within the range. While the discrete data is the data that can be counted. For example, the number of employees in the office, the number of students in the school, the result of rolling dice, etc. In this case, the data is a fixed number. Accordingly, the continuous data is measurable and discrete data is countable.

7 0

3 years ago

Find the domain of the function y = 3 tan(23x)

solmaris [256]

Answer:

$\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

In other words, the $x$ in $f(x) = 3\, \tan(23\, x)$ could be any real number as long as $x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)$ for all integer $k$ (including negative integers.)

Step-by-step explanation:

The tangent function $y = \tan(x)$ has a real value for real inputs $x$ as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

Hence, the domain of the original tangent function is $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

On the other hand, in the function $f(x) = 3\, \tan(23\, x)$ , the input to the tangent function is replaced with $(23\, x)$ .

The transformed tangent function $\tan(23\, x)$ would have a real value as long as its input $(23\, x)$ ensures that $23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

In other words, $\tan(23\, x)$ would have a real value as long as $x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right)$ .

Accordingly, the domain of $f(x) = 3\, \tan(23\, x)$ would be $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

4 0

2 years ago

Janet has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of

kolezko [41]

24
3+3=6
6×4=24
24 inches

8 0

3 years ago

Matt earned $28,500 last year. He paid $8,265 for rent. What percent of his earnings did Matt pay for rent ?

Katena32 [7]

Answer: 29%

Step-by-step explanation:

You need to divide the rent, 8265, by the amount of money he earns.

8265/28500 is .29

Multiply that by 100 to get it in percent form

5 0

3 years ago

Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40 minutes t

ruslelena [56]

Bill and Amy travel the same distance from home to school of 14.4 kilometers. Amy takes 40 minutes of time to arrive to school which means she has a rate of 14.4 km /40 minutes or 6 meters/ second. Bill takes a total 60 minutes to arrive to school. Hence Bill's rate is equal to 14.4 km/60 minutes or 4 meters/ second.Amy's is 2 m/s faster than Bill's speed, then.

8 0

3 years ago