Hello :
f(x) = <span>√(0.5x-10) +3
</span>inequality can be used to find the domain of f(x) is : 0.5x-10 <span>≥ 0
</span>0.5x ≥10
x ≥10/0.5
x ≥ 20
the domain of f(x) is : D = <span>[</span><span>20 ; + ∞[ </span>
Format of Quadratic Equation: y = ax2 + bx + c
Given Quadratic Equation: y = 2x2 - 3x + 3
Coefficient Variable Values: a = 2 and b = -3 and c = 3
Axis of Symmetry: x = -b/2a = -(-3)/2(2) so answer is x = 3/4
Vertex: x value is axis of symmetry (3/4) and y value is calculated substituting 3/4 for x in original equation: y = 2(3/4)2 - 3(3/4) + 3 = 2(9/16) - 9/4 + 3 = 9/8 - 9/4 + 3 = 9/8 - 18/8 + 24/8 = 15/8,
so answer is (3/4,15/8)
x intercepts (solve using quadratic formula): x = (-b plus or minus sqrt(b2 - 4ac)/2a, so plugging in coefficient values for a and b and c, we get x = [-(-3) plus or minus sqrt((-3)2 - 4(2)(-3)]/2(2), which results in x = (3 + sqrt(33))/4 or (3 - sqrt(33))/4 and answers to nearest tenth are x = (3 + 5.7) / 4 = 2.2
or x = (3 - 5.7) / 4 = -0.7
y intercept is calculated by substituting zero for x into original equation: y = 2x2 - 3x + 3, so y-intercept is 3.
Domain is range is from calculated negative x intercept (-0.7) to calculated positive x intercept (2.2) and is written as (-0.7,2.2)
Range is from calculated y-intercept to positive infinity, since parabola opens up due to positive x2 coefficient value, so range is written as (3,positive infinity). Note: infinity symbol is sideways 8.
Answer:
14 is 24
13 is 1.4
Step-by-step explanation:
answer 14:
First you need to add 10.1 and 1.9.
Second you need to multiply the answer you got by 4.
Last you need to divide the answer you got from the first two steps by 2.
Answer 13:
First you need to add 0.6 plus 7.4 and then multiply it by 2 because it is squared by 2.
Next you minus 14 from the answer you got from the first steps.
Answer:
Approximately
7.5
hours
Step-by-step explanation:
Explanation:
We are trying to determine the value of
h
in the compound growth formula
XXX
20
×
(
1
+
0.85
)
h
=
2000
or, simplified:
XXX
1.85
h
=
100
Taking the
log
1.85
of both sides:
XXX
log
1.85
100
With the aid of my trusty spreadsheet:
XXX
h
≈
7.48582192
Answer:
7:45
Step-by-step explanation:
Since they both turn red at differnt times, you have to find a multiple to find the time they will be both on
Main St: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105
Elm St. 15, 30, 45, 60, 75, 90, 105
They will both turn on 105 minutes or 1 hour and 45 minutes from 6
6 + 1 hr 45 min = 7:45
