Answer:
a and c
Step-by-step explanation:
The equation of a quadratic in vertex form is
f(x) = a (x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 5)² + 7 ← is in vertex form
Thus the function is quadratic → a
• If a > 0 then the grapg will open upwards
• If a < 0 then the graph will open downwards
Here a = 1 > 0 then graph will open upwards → c
Required data table is attached below :
Answer:
D. The fewest students prefer black Model A1 calculators.
Step-by-step explanation:
From the data Given :
Larger proportion of students prefer White calculators(0.65) to black calculators (0.35)
Also, Fewer proportion of students like black model C3 (0.20) than white model A1 (0.40)
Also, the proportion of students who like model C3 calculators(0.30) are fewer than those who prefer the model A1 (0.45)
Therefore, the true inference which can be derived from the data is, the least preferred calculator is the Black model A1 calculator with a proportion of 0.05
Answer:
A. Fun at the water park
Step-by-step explanation:
The definition of opportunity cost is "the loss of potential gain from other alternatives when one alternative is chosen" - oxford dictionary.
Since Hugo is giving up a fun day at the water park, that is what he is missing aka his opportunity cost
Answer:
y=2x
Step-by-step explanation:
slope = rise/run = 2/1 = 2
Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
