The sequence would be written as:
1.2, 0.84, 0.588, 0.4116
If this is a geometric sequence, then they should have a common ratio. We determine as follows:
0.4116 / 0.588 = 0.7
0.588 / 0.84 = 0.7
0.84 / 1.2 = 0.7
r = 0.7
an = a1(r^(n-1))
an = 1.2 (0.7^(5-1))
an = 0.28812 <--------option A
Step-by-step explanation:B
Answer:
y = - 3x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (3, - 5) ← 2 ordered pairs from table
m =
=
= - 3, thus
y = - 3x + c ← is the partial equation
To find c use any ordered pair from the table
Using (3, - 5 ), then
- 5 = - 9 + c ⇒ c = - 5 + 9 = 4
y = - 3x + 4 ← equation of line
Answer:
x = 5
Step-by-step explanation:
Given: f(x) = -3x + 19
1. Substitute f(x) = 4 into f(x) = -3x + 19:
⟹ 4 = -3x + 19
2. Add 3x to both sides:
4 + 3x = -3x + 3x + 19
⟹ 3x + 4 = 19
3. Subtract 4 from both sides:
3x + 4 - 4 = 19 - 4
⟹ 3x = 15
4. Divide both sides by 3:
3x ÷ 3 = 15 ÷ 3
⟹ x = 5
5. Check your work:
4 = -3x + 19
4 = -3(5) + 19
4 = -15 + 19
⟹ 4 = 4 ✔
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Answer:
x is 4
Step-by-step explanation:
4x+23 is equal to 10x-1 because it is an isoceless triangle
4x+23=10x-1
subtract 4x add 1
24=6x
divided by 6
4=x