What is (64 p to the power of 18)to the power of 5/6?

velikii [3]

Answer:

Option A: f(x) = –3x² + 30x – 75

Step-by-step explanation:

To know which option is correct, we shall determine the discriminant of each equation since it gives the nature of the root of the equation.

Discriminant = b² – 4ac

NOTE:

1. If b² – 4ac < 0, it means the equation has no real roots.

2. If b² – 4ac = 0, it means the equation has only one real root.

3. If b² – 4ac > 0, it means the equation has two real roots

This can be obtained as follow:

For Option A:

f(x) = –3x² + 30x – 75

a = –3

b = 30

c = –75

Discriminant = b² – 4ac

Discriminant = 30² – (4 × –3 × –75)

Discriminant = 900 – 900

Discriminant = 0

Thus, the discriminant is equal to zero. This implies that the equation has only one real root.

For Option B:

f(x) = 2x² + 4x – 5

a = 2

b = 4

c = –5

Discriminant = b² – 4ac

Discriminant = 4² – (4 × 2 × –5)

Discriminant = 16 – (–40)

Discriminant = 16 + 40

Discriminant = 56

Thus, the discriminant is greater than zero. This implies that the equation has two real roots.

For Option C:

f(x) = 6x² + 11

a = 6

b = 0

c = 11

Discriminant = b² – 4ac

Discriminant = 0² – (4 × 6 × 11)

Discriminant = 0 – 264

Discriminant = – 264

Thus, the discriminant is lesser than zero. This implies that the equation has no real roots.

For Option D:

f(x) = –4x² + 9x

a = –4

b = 9

c = 0

Discriminant = b² – 4ac

Discriminant = 9² – (4 × –4 × 0)

Discriminant = 81 – 0

Discriminant = 81

Thus, the discriminant is greater than zero. This implies that the equation has two real roots.

Summary:

Option A : Only one real root.

Option B : Two real roots.

Option C : No real roots.

Option D : Two real roots.

The correct answer is option A.

3 0

3 years ago

What is 86,503 when written in expanded form

melisa1 [442]

Answer:

80,000 + 6,000 + 500 + 3

Step-by-step explanation:

Expand so that all non-zero digits are by itself. Remember to retain it's place value:

86503 = 80,000 + 6,000 + 500 + 3

~

3 0

4 years ago

Read 2 more answers

Can someone please help me with this?

Levart [38]

Answer:

5 is the answer. hope this help you

5 0

3 years ago

Read 2 more answers

What’s the value of x?

ale4655 [162]

Answer:

x=12

Step-by-step explanation:

What we have here is a secant and tangent. Using this theorem,

Given the segments of a secant segment and a tangent segment which share an endpoint outside of a circle,

The product lengths of the secant segment and external secant segment equals the length of the tangent segment squared.

In other words,

$9(7 + 9) = {x}^{2}$

$9(16) = {x}^{2}$

$144 = {x}^{2}$

$x = 12$

5 0

3 years ago

At P-Town High School, the probability that a student takes Computer Programming and Spanish is 0.15. The probability that a stu

sp2606 [1]

Answer:

The probability that a student takes Spanish given that the student is taking Computer Programming = 0.375

Step-by-step explanation:

Given -

Let event A = student takes Spanish

Event B = student takes Computer Programming

$A \bigcap B$ = student takes Computer Programming and Spanish

P(B) = 0.4 , $P(A \bigcap B)$ = 0.15

What is the probability that a student takes Spanish given that the student is taking Computer Programming =

(Probability of an event occuring given that another event has already occured , we use condition probability )

$P(\frac{A}{B}) = \frac{P(A \bigcap B )}{P(B)}$

= $\frac{.15}{0.4}$

= 0.375

8 0

3 years ago