Answer:
x=y-48, y=x+48
Step-by-step explanation:
Answer:
The zeros are:

- The function has three distinct real zeros.
Hence, option (B) is true.
Step-by-step explanation:
Given the expression

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

switch sides

as

so

Using the zero factor principle
so


Thus, the zeros are:

It is clear that there are three zeros and all the zeros are distinct real numbers.
Therefore,
- The function has three distinct real zeros.
Hence, option (B) is true.
Answer:
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
Step-by-step explanation:
We have two points which is y intercepts (0,-3) and (0,3).
We know that the major axis is 2a and secondary axis is 2b
These two points are vertical top of the ellipse which they give us value of half secondary axis b = 3
The length of major axis is 2a = 10 => a = 10/2 = 5 => a = 5
The equation of the ellipse is:
x²/a² + y²/b² = 1 or b²x² + a²y² = a²b²
When we replace value of a and b we get:
x²/5² + y²/3² = 1 or 3²x² + 5²y² = 5² · 3² and finally
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
God with you!!!
Answer:
b. circle; 
Step-by-step explanation:
The given conic has equation;

We complete the square to obtain;

This is a circle with center;

This implies that;

When the circle is rotated through an angle of
,
The new center is obtained using;
and 
We plug in the given angle with x and y values to get;
and 
This gives us;

The equation of the rotated circle is;

Expand;

Multiply through by 4; to get

Write in general form;

Divide through by 2.

Answer:
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)

c) P(6 ≤ X ≤ 10) = 0.2737
d) μ = 15*0.75 = 11.25. σ² = 11.25*0.25 = 2.8125
Step-by-step explanation:
X is a binomial random variable with parameters n = 15, p = 0.75. Therefore
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)
P(X>10) = P(X=11) + P(X=12)+ P(X=13)+P(X=14)+P(x=15)





Thus,

c) P(6 ≤ X ≤ 10) = P(X = 6) + P(X = 7) + P(X = 8) + P(X=9) + P(X=10)





Thereofre,

d) μ = n*p = 15*0.75 = 11.25
σ² = np(1-p) = 11.25*0.25 = 2.8125