All categories

3 years ago

Which algebraic expression represents the word expression "three times the square of a number, n, subtracted from 54"?

Mathematics

1 answer:

sveta [45]3 years ago

3 0

Answer:

54 - 3n²

Step-by-step explanation:

Square of a number n = n²

Three times the square of n = 3*n² = 3n²

Expression:

54 - 3n²

You might be interested in

Prove that the roots of x2+(1-k)x+k-3=0 are real for all real values of k

masha68 [24]

Answer:

Roots are not real

Step-by-step explanation:

To prove : The roots of x^2 +(1-k)x+k-3=0x

+(1−k)x+k−3=0 are real for all real values of k ?

Solution :

The roots are real when discriminant is greater than equal to zero.

i.e. b^2-4ac\geq 0b

−4ac≥0

The quadratic equation x^2 +(1-k)x+k-3=0x

+(1−k)x+k−3=0

Here, a=1, b=1-k and c=k-3

Substitute the values,

We find the discriminant,

D=(1-k)^2-4(1)(k-3)D=(1−k)

−4(1)(k−3)

D=1+k^2-2k-4k+12D=1+k

−2k−4k+12

D=k^2-6k+13D=k

−6k+13

D=(k-(3+2i))(k+(3+2i))D=(k−(3+2i))(k+(3+2i))

For roots to be real, D ≥ 0

But the roots are imaginary therefore the roots of the given equation are not real for any value of k.

6 0

3 years ago

2 variable inequalities from their graphs . Please answer. Ty!

Alexus [3.1K]

Answer:

y≤ $\frac{1}{3} x+1$

Step-by-step explanation:

Since the graph is facing down, We know the equation is y<mx+b

Since slope is rise/run the slope is 1/3.

Since the y intercept (The point where the line hits y) is 1, the equation is

y<1/3x+1

BUT WAIT!

The line is solid meaning that we have to include the line as part of the values. This will make the new equation

y≤ $\frac{1}{3} x+1$

8 0

3 years ago

You are watching a game of poker on ESPN with your friends. You are trying to figure out the value of each colored chip that is

klasskru [66]

9514 1404 393

Answer:

N = 5; only one rate is possible

Step-by-step explanation:

The values of the sets of chips are ...

12 +9N +8N^2 +4N^3

and

2 +N +N^3 +N^4

We want to find N such that the difference in value is zero:

N^4 -3N^3 -8N^2 -8N -10 = 0

A graphing calculator can show us the roots. There is only one positive real root to this equation: N = 5.

The exchange rate N is 5. Only one rate is possible.

3 0

3 years ago

What is the solution to the equation?

Serggg [28]

Answer:

-63

Step-by-step explanation:

5 0

3 years ago

There are 450 students in my high school. 39 students are taking AP

Lelechka [254]

Answer:

Chessebuger

Step-by-step explanation:

see the chesse burger is real good

7 0

3 years ago