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3 years ago

What is 5m2- 15m- 200

Mathematics

1 answer:

vitfil [10]3 years ago

3 0

Answer:

5(m + 5) (m - 8)

Step-by-step explanation:

5m2- 15m- 200

Start by pulling 5 out.

5(m^2 - 3m - 40)

We consider all factors of 40

1 40

2 20

4 10

5 8

Based on the middle term we know that 5 and 8 are our best option.

5(m 5) (m 8)

We know the signs have to be one + and one - because a - * - = + and + * + = +

Since 5 - 8 would give us -3 we know that our answer is

5(m + 5) (m - 8)

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Jillian ran 40 miles in one week. Her friend Lacy ran 5/8 the distance that Jillian ran . How many miles did Lacy run ?

Korvikt [17]

Lacy ran 25 miles.

40/8=5 5*5=25

5 0

2 years ago

The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism

AleksAgata [21]

Answer:

$\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle V_P = 2x^3 - 6x^2 + 8x$

$\displaystyle V_C = 27x^3$

Step 2: Find Combined Volume

[Set up] Add: $\displaystyle V_P + V_C = V_{P + C}$
Substitute in variables: $\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x$
Combine like terms: $\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x$

8 0

2 years ago

I need help on this question. Does anybody know how to do it??

marta [7]

1/3 x 14
2/3 x 7
4/6 x 7
2/6 x 14
1/3 x 28/2
1/3 x 42/3

4 0

3 years ago

5. Find the general solution to y'''-y''+4y'-4y = 0

CaHeK987 [17]

For any equation,

$a_ny^(n)+\dots+a_1y'+a_0y=0$

assume solution of a form, $e^{yt}$

Which leads to,

$(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0$

Simplify to,

$e^{yt}(y^3-y^2+4y-4)=0$

Then find solutions,

$\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}$

For non repeated real root y, we have a form of,

$y_1=c_1e^t$

Following up,

For two non repeated complex roots $y_2\neq y_3$ where,

$y_2=a+bi$

and,

$y_3=a-bi$

the general solution has a form of,

$y=e^{at}(c_2\cos(bt)+c_3\sin(bt))$

Or in this case,

$y=e^0(c_2\cos(2t)+c_3\sin(2t))$

Now we just refine and get,

$\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}$

Hope this helps.

r3t40

5 0

3 years ago

there are four Defenders on a soccer team that this represents 20% of the players on the team which equation can be used to find

gladu [14]

4=(total players on the team) x 0.2
(total players on the team) = 4/0.2
(total players on the team) = 20
****
20% is the same as 0.2.
2 is 20% of 10.
to find 10, divide 2 by 0.2
2/0.2=10
4 is 20% of something
to find 'something', divide 4 by 0.2
4/0.2=20

7 0

3 years ago