Answer:
<h2>C. G(x) = (x - 1)² - 3</h2>
Step-by-step explanation:
f(x) + n - shift the graph of f(x) n units up
f(x) - n - shift the graph of f(x) n units down
f(x - n) - shift the graph of f(x) n units to the right
f(x + n) - shift the graph of f(x) n units to the left
===================================
Look at the picture.
The graph of F(x) shifted 1 unit to the right and 3 units down.
Therefore the equation of the function G(x) is
The total of all angles are 360 degrees for a parallelogram. One angle is 10 and the one opposite is also 10. B = 340/2=170 degrees
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
2
,
4
)
Focus:
(
2
,
15
/4
)
Axis of Symmetry:
x
=
2
Directrix:
y
=
17
/4
x y
0 0
1 3
2 4
3 3
4 0
To find the x-intercept, substitute in
0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): (
0
,
0
)
,
(
−
4
,
0
)
y-intercept(s): (
0
,
0
)
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
0.6 repeating as a fraction is 2/3
Answer:
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
Step-by-step explanation:
It says to assume x = the number of packages of pasta and y = the number of jars of pasta sauce.
Since the number of items can not be a negative number, we have x ≥ 0 and y ≥ 0.
Condition: He has $36, and can carry up to 20 pounds of food in his backpack.
Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
If he buys 'x' packs of pasta and 'y' jars of pasta sauce, then:-
Total cost = 1x + 3y ≤ 36 dollars.
and Total weight = 1x + 1.5y ≤ 20 pounds.
Hence, we have four inequalities:-
option A: x + 1.5y ≤ 20
option C: x + 3y ≤ 36
option D: x ≥ 0
option H: y ≥ 0
