What is the expanded from of 309,099,990

How many solutions does an equation of the form x^2- k^2= 0 have?

N76 [4]

1. Use Difference of squares: a^2-b^2=(a+b)(a-b)
(x+k)(x-k)=0

2. Solve for x and k
x=+-k
k=+-x

8 0

3 years ago

I need help plsssss...........

ch4aika [34]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

system of linear equation
PEMDAS

<h3>let's solve:</h3>

since y is equal to both equation therefore we can substitute the value of y into the other equation

$\sf substitute \: the \: value \: of \: y : \\ \sf - x + 2 = 3x - 4$
$\sf add \: x \: to \: both \: sides : \\ \sf - x + x + 2 = 3x + x - 4 \\ \sf 4x - 4 = 2$
$\sf add \: 4 \: to \: both \: sides : \\ \sf xx - 4 + 4 = 2 + 4 \\ 4x = 6$
$\sf divide \: both \: sides \: by \: 4 : \\ \frac{4x}{4} = \frac{6}{4} \\ x = \frac{3}{2}$

let's figure out y

substitute the got value of x into the second equation: y=3*3/2 -4
simplify multiplication:9/2 -4
simplify division:4.5-4
substract:0.5 alternate form:y=½

3 0

2 years ago

3×-7 equivalent expressions A. -21 B. 4 C. -4 D. 21

USPshnik [31]

Answer:

-21

Step-by-step explanation:

3x7=21 and a negative x a positive is always negative

6 0

2 years ago

50,000 contestants participate in an on-line game. The game randomly eliminates 20% of the contestants each day. Determine the n

irga5000 [103]

Answer:10,486 contestants

Step-by-step explanation:

First day:

Total number of contestants at the beginning = 50,000

After first day, 20% 0f 50,000 are removed.

That is, (20/100)×50,000 = 10,000

Contestants remaining after first day = 50,000-10,000 = 40,000

Second day:

Contestants= 40,000

20% removed

That is (20/100)×40000=8000

Balance =40000-8000=32,000

Third day:

Contestants= 32000

20% removed

That is (20/100)×32000=6400

Balance =32000-6400=25,600

Fouth day:

Contestants= 25,600

20% removed

That is (20/100)×25,600=5,120

Balance =25,600-5,120=20,480

Fifth day:

Contestants= 20,480

20% removed

That is (20/100)×20,480=4096

Balance =20,480-4096=16,384

Sixth day:

Contestants= 16,384

20% removed

That is (20/100)×16,384=3276.8

Balance =16,384-3276.8=13,107.2

Seventh day:

Contestants= 13,107.2

20% removed

That is (20/100)×13,107.2=2621.44

Balance =13107.2-2621.44=10485.76

Therefore, number of contestants remaining after one week equals 10,486.

6 0

3 years ago

You are trying to bulk and gain muscle. Your trainer says your daily calorie intake should increases based on hours you spend ex

s2008m [1.1K]

a) T - Calories, 2000 - <em>Minimum</em> calories, 500 - Additional calories per exercise hour, b) We should consume 3500 calories to spend three hours exercising.

<h3>How to analyse a linear function of calorie gain in terms of the exercise time</h3>

In this question we have a <em>linear</em> function where the <em>independent</em> variable is the exercise time (h), in hours, and the <em>dependent</em> variable is the calorie gain (T), in calories. The constant "2000" is the <em>minimum</em> calorie consumption and the constant "500" represents the amount of <em>additional</em> calories per each hour of exercise.

Now we proceed to respond the questions of the part a):

(i) T - Amount of calories needed, (ii) 2000 - Minimum calorie consumption, (iii) 500 - Amount of additional calories per hour of exercise.

b) And lastly we calculate the amount of calories by evaluating the function:

T = 2000 + 500 · 3

T = 2000 + 1500

T = 3500

We should consume 3500 calories to spend three hours exercising.

<h3>Remark</h3>

The statement is incomplete, the complete form is shown below:

You are trying to bulk up and gain muscle. Your trainer says that your daily calorie intake should increase based on the hours you spend exercising and can be represented by the following equation: T = 2000 + 500 · h

a) What does each part of this expression represent? (i) T = , (ii) 2000, (iii) 500, (iv) h

b) If you spend 3 hours exercising, how many calories should you consume?

To learn more on linear functions: brainly.com/question/21107621

#SPJ1

4 0

1 year ago