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:
12:40pm i think
Step-by-step explanation:
(-4, 5), sinc only the x value would change, not the y value.
Answer:
100 m²
Step-by-step explanation:
The scale drawing has dimensions 25 cm and 16 cm
The actual rectangles dimensions are 50 times greater, that is
length = 25 × 50 = 1250 cm ← divide by 100 to convert to m
length = 1250 ÷ 100 = 12.5 m
width = 16 × 50 = 800 cm
width = 800 ÷ 100 = 8 m
Actual area = 12.5 × 8 = 100 m²
Answer:
n = 110
Step-by-step explanation:
Margin of Error :
Zcritical * s/ sqrt(n)
s = standard deviation = 4
Margin of Error = ±0.75
Zcritical at 95% level of confidence = 1.96
Margin of Error = Zcritical * s/ sqrt(n)
0.75 = 1.96 * 4 / sqrt(n)
0.75 = 7.84 / sqrt(n)
Take the square of both sides
0.5625 = 61.4656 / n
0.5625 * n = 61.4656
0.5625 = 61.4656
n = 61.4656 / 0.5625
n = 109.27217
About 110 samples
