Answer:
(d) f(x) = -x²
Step-by-step explanation:
For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...
f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)
f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)
Of the offered answer choices, the only one with a vertex at the origin is ...
f(x) = -x² . . . . . a=-1
The answer is (0,-3) and (0-1)
hope this helped
The probability that a plant in the experiment receives visible or ultraviolet light is 7/10.
<u>Step-by-step explanation</u>:
The total number of plants in the experiment = 30 plants
Plants that receive visible light alone = 12 plants
Plants that receive ultraviolet light alone = 15 plants
Plants that receive both visible and ultraviolet light = 6 plants
<u>step 1</u> :
<em>Probability = No. of required events / Total number</em>
<u>step 2</u> :
P(visible) = 12 / 30
P(ultraviolet) = 15 / 30
P(both) = 6 / 30
<u>step 3</u> :
P(visible or ultraviolet) = P(visible) + P(ultraviolet) - P(both)
= 12/30 + 15/30 - 6/30
= 21/30
P(visible or ultraviolet) = 7/10
Answer:
2/3, 2/3 per minute
Step-by-step explanation:

Step-by-step explanation:
Step 1:
Let us consider the given expression 
On Right Hand Side of equation,

Using BODMAS rule, we could get 2.4 as value.
Step 2:
Now let us consider the Left Hand Side of equation and solve it
which will be equal to 2.4.