Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8 because the minimum is -8.
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
Answer: 21/400
Step-by-step explanation:
Multivitamin:
8 cherry, 5 grape, and 7 orange
Total fruits in Multivitamin container :
(8 + 5 + 7) = 20
P(orange) = Total required outcome / Total possible outcomes)
P(orange) = 7/20
Calcium vitamin :
11 berry, 3 lemon, and 6 pineapple
Total fruits in calcium vitamin container:
(11 + 3 + 6) = 20
Probability of picking a lemon:
P(lemon) = Total required outcome / Total possible outcomes)
P(lemon) = 3/20
Therefore, probability of picking an orange and a lemon equals:
P(orange) × p(lemon) = (7/20) × (3/20) = 21/400
Answer:
Step-by-step explanation: