Answer:
<h3>The corrected matched vocabulary terms to the correct definitions are :</h3><h3>1. The fixed amount multiplied by a term to get to the next term in a geometric sequence -
Common ratio</h3><h3>
2. Defines the term with direct computation for any term in the sequence -
Explicit formula</h3><h3>
3. A sequence in which there is a common ratio between the terms -
Geometric sequence</h3><h3>
4. The term that is immediately before -
Preceding term</h3><h3>
5. Defines the next term in a sequence by using the preceding term -
recursive formula</h3>
Step-by-step explanation:
<h3>Match the following vocabulary terms to the correct definitions.</h3>
1. The fixed amount multiplied by a term to get to the next term in a geometric sequence - Common ratio
2. Defines the term with direct computation for any term in the
sequence - Explicit formula
3. A sequence in which there is a common ratio between the terms - Geometric sequence
4. The term that is immediately before - Preceding term
5. Defines the next term in a sequence by using the preceding term - recursive formula
<h3 /><h3 /><h3 /><h3 /><h3 />
Answer:
y=-3
Step-by-step explanation:
5(y+2/5)=-13
5y+10/5=-13
5y+2=-13
5y=-15
y=-3
Check:
5(-3+2/5)=-13
-15+2=-13
-13=-13
Answer:
-10 and -3
Step-by-step explanation:
hope this helps and have a nice day!
Substitute the x for 6 then 10,
8(6)+40 8(6+5)
8(10)+40 8(10+5)
then calculate
Answer:
The answer to your question
a) Values excluded = -2, 0
b) solutions = -2/3, 2
Step-by-step explanation:
Equation
![\frac{4x}{2x + 4} = \frac{x+ 2}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B2x%20%2B%204%7D%20%3D%20%5Cfrac%7Bx%2B%202%7D%7B2x%7D)
a) x is restricted when the denominators equal zero, so let's get them.
2x + 4 = 0 2x = 0
2x = - 4 x = 0 / 2
x = -4 / 2 x = 0
x = -2
x must be different to -2, 0
b) ![\frac{4x}{2x + 4} = \frac{x+ 2}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%7D%7B2x%20%2B%204%7D%20%3D%20%5Cfrac%7Bx%2B%202%7D%7B2x%7D)
![\frac{2x}{x + 2} = \frac{x + 2}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx%20%2B%202%7D%20%3D%20%5Cfrac%7Bx%20%2B%202%7D%7B2x%7D)
4x² = (x + 2)²
4x² = x² + 4x + 4
4x² - x² - 4x - 4 = 0
3x² - 4x - 4 = 0
3x² - 6x + 2x - 4 = 0
3x(x - 2) + 2(x - 2) = 0
(x - 2)(3x + 2) = 0
x₁ - 2 = 0 3x₂ + 2 = 0
x₁ = 2 x₂ = -2/3