Answer:
Translated 2 units R<u>ight</u>
and Translated 4 units<u> left</u> and Across the y - axis
<em>Now the new function is </em>
<em> h(x) = -( x + 2 )³ - 4</em>
Step-by-step explanation:
<u>Step(i):</u>-
<em> Type of transformation change of function</em>
<em></em>
<em>a) The translated left 'c' units x - c</em>
<em>b) The translated Right 'c' units x + c</em>
<u><em>Step(ii)</em></u>
The given function f(x) = x³
<em>The given function is translated '2' units right side then the new function</em>
<em> h(x) = ( x + 2 )³</em>
<em>and next the translated '4 ' units left sides and reflected across the y-axis</em>
<em>Now the new function is </em>
<em> h(x) = -( x + 2 )³ - 4</em>
Answer:
= 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
Correlation coefficients are expressed by a number between -1 and 1.
If the value is -1 or 1 it indecates a perfect (negative and positive) correlation.
If the value is 0 indicates null correlation.
As the correlation value for you data set is -0.833 it is very close to the -1. It indicates a good correlation in the data. Then, the value you predicted is reasonably close to the actual value.
Answer:
m=0.25
Step-by-step explanation:
m = (y_2-y_1)/ (x_2-x_1)
Let's get 2 of any coordinates in the graph, for example: (4,2) and (0,1)
m = (1-2)/(0-4) = 1/4 or 0.25