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Vera_Pavlovna [14]
3 years ago
13

Your answer should be a polynomial in standard form. (x + 5)(x +3)=(x+5)(x+3)

Mathematics
1 answer:
sattari [20]3 years ago
7 0

Answer:

∴(x+5)(x+3) =x²+8x+15

Step-by-step explanation:

Standard form of a polynomial:

Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.

Example:

a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+......

Given,

(x+5)(x+3)

=x(x+3)+5(x+3)

=x²+3x+5x+15

=x²+8x+15

∴(x+5)(x+3) =x²+8x+15

The degree of the polynomial is 2 and is a one variable polynomial.

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A model of a building is 18 inches tall. If the building is really 678 feet tall, how tall is a window that is 1/9 in on the mod
ipn [44]

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = \frac{1}{9}in

Rb = real building = 678ft = 8136in

Rw = real window = ?

\frac{Mw}{Mb} = \frac{Rw}{Rb}

\frac{1/9}{18} = \frac{Rw}{8136}

\frac{1}{9*18} = \frac{Rw}{8136}  

\frac{1}{162} = \frac{Rw}{8136}

\frac{1*8136}{162}= \frac{8136*Rw}{8136}

\frac{8136}{162} = Rw

\frac{452}{9} = Rw

Rw ≈ 50.2in ≈ 4.2ft

5 0
2 years ago
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.
Lorico [155]

Answer:

I think it's B.)

Step-by-step explanation:

3 0
3 years ago
Which expression is equivalent to 5(w+4) when w=9
erica [24]

Answer: Should be 5(9)+4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
SEND HELP YO Find and simplify the area (You need to completely multiply it out and include units in your answer):
Ad libitum [116K]

Answer:

Area = 2m^8 - 6m^4 + 4.5

Step-by-step explanation:

Given

Base = 2m^4 - 3

Height = 2m^4 - 3

Required

The area

This is calculated as:

Area = 0.5 * Base * Height

Area = 0.5 * (2m^4 - 3) * (2m^4 - 3)

Open brackst

Area = 0.5 * (4m^8 - 6m^4 - 6m^4 + 9)

Area = 0.5 * (4m^8 - 12m^4 + 9)

Open bracket

Area = 2m^8 - 6m^4 + 4.5

5 0
3 years ago
A person places $103 in an investment account earning an annual rate of 1.9%, compounded continuously. Using the formula V = P e
Advocard [28]

Answer:

$115.36

Step-by-step explanation:

Given data

P=$103

r=1.9%

t= 6 years

The expression for the amount is given as

V = P e ^{r t}

substitute

V = 103*e^{0.019 *6}

V = 103*e^{0.114}\\\\V = 103*1.120\\\\V = 115.36\\\\

Hence the final amount is $115.36

7 0
3 years ago
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