3.114
Step-by-step explanation:
Given slope of the line is 1.581,
Mean of the x-coordinate is 5.923,
Mean of the y-coordinate is 12.478
Equation of the line formula is
y = mx + c
12.478 = 1.581 × 5.923 + c
⇒ 12.478 = 9.364263 + c
⇒ c = 12.478 – 9.364263
⇒ c = 3.113737
⇒ c = 3.114 (Round off to three decimal places)
Hence, y-intercepts of the line to three decimal places is 3.114.
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years
CHECK
y = 158,000(1.06)^4
y = 199,471.36
Answer:
Vertex: (1,-1)
Symmetry: x = 1
Step-by-step explanation:
y = 4x² - 8x + 3
y = 4(x² - 2x) + 3
y = 4[x² - 2(x)(1) + 1² - 1²] + 3
y = 4(x - 1)² - 1
In y = a(x - h)² + k,
(h,k) is the vertex
And a vertical line passing through the vertex is the line of symmetry, i.e x = h.
Vertex: (1,-1)
Symmetry: x = 1
Answer:
Alright well just move all terms that don't contain x to the right side and solve
Exact form: 5/3
Decimal form: 1.6 Hope this helps :)
Step-by-step explanation:
