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bekas [8.4K]
3 years ago
13

I have a question. In my class we are doing a new unit and I don't understand it. We are solving systems of equations by graphin

g. I don't understand how to graph each point for both equations and how they intersect each other.
there is an example:
{ x+y=8
x-y=4
Mathematics
2 answers:
kenny6666 [7]3 years ago
7 0
X + y = 8
<u>x - y = 4</u>
    <u>2x</u> = <u>12</u>
     2      2
      x = 6
6 + y = 8<u>
-6       -6</u>
     y = 2
(x, y) = (6, 2)
tester [92]3 years ago
6 0
You'd do x+x, y+(-y), and 8+4. You'll get 2x+0=12.
X=6 and y=2
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Something about evaluating numbers or something. Question is in the picture.
Law Incorporation [45]

The answer is 10 - 3√2

:) hope this helps!



3 0
3 years ago
A certain book is for sale in both Belize and Brazil. In Belize, it sells for 80.39 Belize dollars. In Brazil, it sells for 63.6
bixtya [17]
A book is sold in Belize for 80.39 Belize dollars.
In Brazil, it sells for 63.65 Brazilian reals.

The exchange rate of US Dollars to Belize Dollars is 1:1.9246
<span>The exchange rate of US Dollars to Brazilian Real is 1:1.7880
</span>
If we convert the two into dollars,
Belize Dollars 
1 : 1.9246 = X : <span>80.39 
1.9246X = 80.39
X = $ 41.77 

</span>Brazilian Real
1 : 1.7880 = X : <span>63.65 </span><span> 
</span>1.7880X = <span>63.65 </span><span>
X = $ 35.60
</span>
Difference = $ 41.77 - $ 35.60
Difference = $ 6.17

So, in Belize the book is more expensive by $ 6.17
7 0
3 years ago
Which of the following explains why f(x) = log2x
Radda [10]

Answer:

  • There is no power of 2 that is equal to 0.
  • Its inverse does not have any x-intercepts.

Step-by-step explanation:

Given the function

\:\:f\left(x\right)=\log \:_2\left(x\right)

This function can be written as:

y=\log _2\left(x\right)

As the rule tells s that

\:y=log_ax\Rightarrow \:a^y=x

so

x=2^y\:\:

As we know that the value of x=0 at y-intercept.

0=2^y\:\:

For any value of y, this statement is false as there is no power of 2 that is equal to 0.

Also

Lets interchange x and y in the equation x=2^y\:\:  to find the inverse of the function.

y=2^x\:\:

So, it doesn't have any x-intercepts as for any value of x, the value of y can not be zero for this function.

Therefore, Its inverse does not have any x-intercepts.

3 0
3 years ago
What is the distance between points (3,8) and (-9,-8)
kumpel [21]
It is better to graph these points, to easily understand that the distance of the two points form the hypotenuse of the right triangle.  We need to use the Pythagorean theorem to solve for the distance of the two points.

a² + b² = c² ; a = x value ; b = y value

1) (3,8) and (-9,-8)
a = 3 - (-9) = 3 + 9 = 12 ⇒ 12² = 144
b = 8 - (-8) = 8 + 8 = 16 ⇒ 16² = 256 ⇒⇒ 144 + 256 = 400 ; c = √400 = 20

2) (2,6) and (5,2)
a = 2 - 5 = 3 ⇒ 3² = 9
b = 6 - 2 = 4 ⇒ 4² = 16 ⇒⇒ 9 + 16 = 25 ; c = √25 = 5

3) (21,16) and (9,11)
a = 21 - 9 = 12 ⇒ 12² = 144
b = 16 - 11 = 5 ⇒   5² =    25 ⇒⇒ 144 + 25 = 169 ; c = √169 = 13
8 0
3 years ago
D) 12x^3 - 4x^2<br> Factorise fully
Vinvika [58]

Answer:

The answer for the equation is 4x^2 (3x - 1).

Step-by-step explanation:

Solve:

12^3 - 4x^2

-Factor out the 4 :

12^3 - 4x^2

4(3x^3 - x^2)

-Factor out the x^2 :

4(3x^3 - x^2)

x^2 (3x - 1)

-Then, you rewrite the complete factored expression:

x^2 (3x - 1)

4x^2 (3x - 1)

So, the answer is 4x^2(3x - 1).

8 0
3 years ago
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