Answer:
The zeros of a quadratic function are the solutions of the related quadratic equation. If the graph of a quadratic function crosses the x-axis, there will be two real number solutions. If the graph of a quadratic function just touches the x-axis, there will be one unique real number, or double root, solution. If the graph of a quadratic function does not cross the x-axis, there will be no real number solution.
Step-by-step explanation:
Did the question.
Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
Answer:
3.3 cm
Step-by-step explanation:
From the above question, we can draw out a proportion
= Small pentagon = Large pentagon
= x/7 = 7/15
Cross Multiply
x × 15 = 7 × 7
15x = 49
x = 49/15
x = 3.2666666667 cm
Approximately= 3.3 cm
Answer:
14,1 cm
Step-by-step explanation:
If a circle passes through the vertices of a square then the diagonal of a square is a circle diameter.
We use Pytagoras Theorem to find out the length (L) of the diagonal given that:
L² = (20)² + (20)²
L² = 2* (20)²
L = √2 * 20
L = 1,4142* 20
L = 28,28 cm
L diagonal in the square is a diameter of the circle then radius of a circle is:
r = L/2 ⇒ r = 28,28 /2 ⇒ r = 14,14 cm
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
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<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
