Start by looking at the vertex form of a quadratic function, f(x) = a(x - h)^2 + k. The variables h and k are the values of the vertex. Plug those in to get f(x) = a(x - 4)^2 + 5. To find the variable a, plug in the point given for the x and y values. So, you get (21) = a((8) - 4)^2 + 5. Solve for a algebraically, and you get a = 1. Finally, plug everything in and simplify the equation. You should get that the quadratic function is f(x) = x^2 - 8x + 21. Hope this helps!
Answer:
x ≥ 2
Step-by-step explanation:
The inequality would be: <em>x * 8 ≥ 16</em>
8x ≥ 16
x ≥ 16/8
<u>x ≥ 2</u>
Hope this helps!
Answer:
9/10
Step-by-step explanation:
multiply 3/10 by 3.
3/10 x 3/1 =
3x3/10x1 =
9/10
Answer:
a. 15/2 or 7.5 sqcm
b. 20 sqcm
Step-by-step explanation:
Area of a triangle is (base × height)/2.
A = (5×3)/2
A = 15/2 = 7.5cm^2
The area of a parallelogram is just base × height, but yoy have to choose wisely what is the base and height. These two measurements must be perpendicular. So the 4 and 5 are perpendicular. We won't use the measurement 6cm at all.
Area = 4×5
Area = 20 sqcm
The first one is incorrect. i’d pick that one.
