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3 years ago

5(x + 3) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?

Mathematics

2 answers:

Makovka662 [10]3 years ago

8 0

Answer:

$\boxed{\bold{5x+15}}$

Step-by-step explanation:

Distributive Property: $\bold{a(b+c)=(a*b)+(a*c)}$

Write An Equation:

(5 * x) + (5 * 3)

Solve:

5 * x = 5x

5 * 3 = 15

Rewrite Equation

5x + 15

rosijanka [135]3 years ago

7 0

Answer:

5X+15

Step-by-step explanation:

you just have to multiply 5 and X and also multiply 3 by 5.

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How many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0

inysia [295]

Answer:

4 complex roots

Step-by-step explanation:

The easiest way is to use a graphing tool and solve it graphically.

We did it with Desmos and it shows 3 real roots, see below.

The polynomial is of degree 7, hence it should have 7 roots.

Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots

7 0

3 years ago

I need help with C please.

zlopas [31]

9514 1404 393

Answer:

║w║ = 6

Step-by-step explanation:

(c) The magnitude of w is computed the same way the magnitudes of the other vectors are computed. It is the root of the sum of the squares of the components.

║w║= ║<-6, 0>║ = √((-6)² +0²) = √36

║w║= 6

4 0

3 years ago

Enter the degree of the polynomial below:<br><br><br> 6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6

Blababa [14]

Answer:

Step-by-step explanation:

The highest exponent determines the degree of a polynomial.

3 0

3 years ago

A couple deposits $21,000 into an account earning 7% annual interest for 20 years. Calculate the future value of the investment

Reil [10]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$21000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}$

$A=21000\left(1+\frac{0.07}{12}\right)^{12\cdot 20}\implies A=21000\left( \frac{1207}{1200} \right)^{240}\implies A\approx 84813.52$

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2 years ago

A train travels 3920 miles every 160 of an hour. How far does the train travel in 2 hours?

Andru [333]

Answer:

The statement of the question is wrong. I will solve what I think you mean

Step-by-step explanation:

Train travel 3920 miles in 160 hours this is the rate distance/hr

rate = 3920 miles / 160 hour

rate = 24.5 mph

How far does the train travel in 2 hours?

distance = rate x time

distance = 24.5 x 2

distance = 49 miles

7 0

3 years ago