1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikklg [1K]
3 years ago
15

The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply. T(n) = 4n - 5

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0
T(n)=4n-5\\\\T(8)=4\cdot8-5=32-5=27\\\\T(5)+T(3)=4\cdot5-5+4\cdot3-5=20-5+12-5=22\neqT(8)\\\\T(7)+4=4\cdot7-5+4=28-5+4=27\\\\Answer:\\B.\ 27\\D.\ T(7)+4
You might be interested in
The length of a rectangle is 6 inches more than its width. Its area is 91 square inches. The length is .
Vika [28.1K]

Answer:

13 in

Step-by-step explanation:

let w be width then length is w + 6

the area (A) of a rectangle is calculated as

A = length × width , then

A = w(w + 6) = 91 , that is

w² + 6w = 91 ( subtract 91 from both sides )

w² + 6w - 91 = 0 ← in standard quadratic form

(w + 13)(w - 7) = 0 ← in factored form

equate each factor to zero and solve for w

w + 13 = 0 ⇒ w = - 13

w - 7 = 0 ⇒ w = 7

however, w > 0 then w = 7

and length = w + 6 = 7 + 6 = 13 in

8 0
2 years ago
A woman bought 210 oranges for 650 she sold all of them at 3 for 20 how much profit did
inna [77]

Answer:

750

Step-by-step explanation:

total cost = 650

total selling = 210/3 x 20 = 70 x 20 = 1400

total profit = 1400 - 650 = 750

8 0
3 years ago
The equation for a parabola has the form y = ax2 + bx + c, where a, b, and c are constants and a ≠ 0. find an equation for the p
sattari [20]
To solve the problem, substitute the given points for x in the given equation to get

-10=(-1)^2a+(-1)b+c\Rightarrow-10=a-b+c \\ -6=(1)^2a+(1)b+c\Rightarrow-6=a+b+c \\ -13=(2)^2a+(2)b+c\Rightarrow-13=4a+2b+c

Solving the three equations simultaneously, we have:

a = -3, b = 2 and c = -5

Therefore, the required equation is

y=-3x^2+2x-5
7 0
3 years ago
If the end points of the diameter of a circle are (9,4) and (5,2) what is the standard form equation of the circle
timurjin [86]

Answer:

(x - 7)² + (y - 3)² = 5

Step-by-step explanation:

The center (h , k) is the midpoint of two end points of diameter

h = (9 + 5) / 2 = 7

k = (4 + 2) / 2 = 3

Equation of circle: (x - h)² + (y - k)² = r²

r = (√(9 - 5)² + (4 - 2)²) / 2 = √5

Equation: (x - 7)² + (y - 3)² = 5

6 0
3 years ago
Divide f(x) by d(x), and write a summary statement in the form indicated.
Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

Multiply it by the divisor: 4x(x^2+1)=4x^3+4x

Subtract the dividend:

(4x^3+5x^2+4x+5)-(4x^3+4x)=5x^2+5

Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

Dividend = x^4 + 4x^3 + 6x^2 + 4x + 5

Divisor = x^2+1

Quotient = x^2+4x+5

Remainder = 0

Dividend = Divisor × Quotient + Remainder

f(x) = (x^2+1)(x^2+4x+5)

Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

3 0
3 years ago
Other questions:
  • Which answer is the smallest<br> A. -16x8<br> B.-16 divided by 8<br> C-16+8 <br> D -16 - 8
    14·1 answer
  • What number corresponds to 1
    9·1 answer
  • Francis surveyed a random sample of 707070 students at Franklin High School about their favorite season. Of the students surveye
    15·2 answers
  • -(4y + 20) + 19 = -y + 17
    15·2 answers
  • ^^^^^^^^^^^^^^^^^^****^^^
    6·1 answer
  • What is the inverse of the function f(x) = x +3?
    12·2 answers
  • 3x+2/x divided by (30x-12)
    14·1 answer
  • Find the maximum volume of a rectangular box that is inscribed in a sphere of radius r.
    9·1 answer
  • Find the value of x
    14·1 answer
  • Pls help me!!! I’ve been asking for awhile now and i don’t know itt
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!