Answer:
X = 44°
Step-by-step explanation:
The angle other than 68°and and x is also 68° because its a isosceles triangle.
so 68° + 68° + x = 180° (angle sum property)
136° + x = 180°
x = 180 - 136
= 44°
hope this helps.
Answer:
see below
Step-by-step explanation:
All of the given data sets have x-values that are sequential with a difference of 1. That makes it easy to determine the sort of sequence the y-values make.
<u>first choice</u>: the y-values have a common difference of -2. This will be matched by a linear model.
<u>second choice</u>: the y-values have a common difference of +2. Again, this will be matched by a linear model.
<u>third choice</u>: the y-values have a common ratio of -2. This will be matched by an exponential model.
<u>fourth choice</u>: the y-value differences are 3, 5, 7, increasing by a constant amount (2). This is characteristic of a sequence that has a quadratic model.
Answer:
Step-by-step explanation:
Average rate of change is Δy / Δx.
For f(x):
[ f(1) - f(0) ] / (1 - 0)
(1 - 3) / (1 - 0)
-2
For g(x):
[ g(1) - g(0) ] / (1 - 0)
(4 - 3) / (1 - 0)
1
9514 1404 393
Answer:
3
Step-by-step explanation:
For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...
f(x) = ((x -2)x -7)x +5
and ...
x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3
Then ...
f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5
= (3+2√3 -7)(2+√3) +5
= 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5
f(1/(2 -√3)) = 3
_____
If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.