y = -1/2x - 3 is the correct equation
Answer:
g(x) = |x| -9
Step-by-step explanation:
In the form ...
g(x) = a|x -h| +k
the parameters are ...
- a: the vertical scale factor (1)
- h: the right shift of the vertex (0)
- k: the upward shift of the vertex (-9)
The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).
Then the translated function is ...
g(x) = |x| -9
Answer:
$236.40
Step-by-step explanation:
Mrs. Blanda's truck holds 19.7 gallons of gas. She used 4 full tanks of gas last month.
1 full tank holds 19.7 gallons of gas
4 full tank hold 4*19.7 gallons of gas
4 full tank = 78.8 gallons of gas used last month
She paid $3 for each gallon
We need to find the amount she paid for 78.8 gallons
78.8 * 3= 236.4
Mrs. Blanda spend on gas last month = $236.40
Answer number 3
Step-by-step explanation:
The sum of interior angles of a triangle is 180°, and a linear pair is supplementary (adds to 180°). The appropriate choice is
... G. w = 105°, because ...
_____
In short, an exterior angle is equal to the sum of the opposite interior angles.
... w = 180 - (180 - (45 + 60)) = 180 -180 +45 +60
... w = 45 +60
