Answer:
B
Step-by-step explanation:
- 3/2 is - 1.5 , and B is - 1.5
Answer:
C° = 71.6056
Step-by-step explanation:
Law of Cosines: c² = a² + b² - 2abcosC°
Step 1: Plug in known variables
29² = 30² + 15² - 2(30)(15)cosC°
Step 2: Evaluate
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056
And we have our answer!
Minimum point of an absolute value function is when f(x) = 0
0 = <span>|2x - 1|
2x</span> - 1 = 0
2x = 1
x = 1/2
Minimum point is (1/2, 0)
Let x represent the number of shirts. Let y represent the number of pens.
If shirts are on sale for $11.99 each, then x shirts cost $11.99x.
If pants are on sale for $12.99 each, then y pants cost $12.99y.
The total cost is $(11.99x+12.99y).
Sarah can spend up to $65. Then an inequality that represents this situation is
11.99x+12.99y≤65 (this inequality holds when Sarah can spend $65 too)
or
11.99x+12.99y<65 (this inequality holds when Sarah can spend less than $65).
Answer:
Step-by-step explanation:
A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.
If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.
In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)
i.e. instead of f(x) = y, we have now f(x) = y/3
So transformation is g(x) = 3f(x)
Option A is correct.
2) Here f(x) = 3x+8 is transformed to g(x) =3x+6
i.e. y intercept is reduced by 2 units. Hence there is a translation of 2 units down.
