Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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<h3>Answer:</h3>
2.25
<h3>Explanation:</h3>
Consider the square ...
... (x+a)² = x² +2ax +a²
The constant term (a²) is the square of half the x-coefficient: a² = (2a/2)².
The x-coefficient in your expression is 3. The square of half that is ...
... (3/2)² = 9/4 = 2.25
Adding 2.25 to both sides gives ...
... x² +3x + 2.25 = 6 + 2.25
... (x +1.5)² = 8.25 . . . . completed square
The additive identity property states that for every number a, you have

You're showing this property when you write

Answer:




Step-by-step explanation:
<h3>Given information</h3>


<h3>Question 15. f(g(2))</h3>
<u>Substitute values into the first function</u>



<u>Substitute the values of the first function into the second</u>



<h3>Question 16. g(f(2.5))</h3>
<u>Substitute values into the first function</u>


<u />
<u>Substitute the values of the first function into the second</u>




<h3>Question 17. g(f(-5))</h3>
<u>Substitute values into the first function</u>


<u>Substitute the values of the first function into the second</u>




<h3>Question 18. f(g(-5))</h3>
<u>Substitute values into the first function</u>



<u>Substitute the values of the first function into the second</u>



Hope this helps!! :)
Please let me know if you have any questions
It is arithmetic.
It starts at - 5,
the next item is 0 then 5 and next is 15 ...
============
It isn't geometric. You are not multiplying by 5
The second term must be and not- 5 * 5 = - 25
============
A Fibonacci series adds the previous two terms together to get the next term
Usually it starts at 0, but it doesn't need to.
0,1,1,2,3,5,8,13,21,34 ....