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2 years ago

What is the completely factored form of 4x+20

1 answer:

3 0

Hi there!

Since both 4x and 20 can be divisible by 4 and is greatest able to be divisible by 4, we can divide the 4 and put it outside of the parenthesis in order to factor:

4x / 4 = x
20 / 4 = 5

4 (x + 5)
would be your answer.

Hope this helps!

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8 scholars were sharing 6 brownies each scholar got an equal amount how much did each scholar get

Eva8 [605]

Answer:

4/3 or 1 1/3 brownie

Step-by-step explanation:

6 0

3 years ago

Order each set of numbers from least to greatest.<br><br><br> PLZ HELP ASAP

Wittaler [7]

Answer:

$\frac{41}{3} < 14 < \sqrt{200}$

<u> $0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} }$ </u>

Step-by-step explanation:

$\sqrt{200} = 10 \sqrt{2} = 14.1 \\ 14 = 14 \\ \frac{41}{3} = 13.6$

So ;

$\frac{41}{3} < 14 < \sqrt{200} \\ 13.6 < 14 < 14.1$

$\frac{2}{3} = 0.66 \\ \sqrt{ \frac{9}{16} } = \frac{3}{4} = 0.75 \\ 0.6 = 0.6$

So ;

$0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } \\ 0.6 < 0.66 < 0.75$

I hope I helped you^_^

6 0

2 years ago

The formula p=8n-30 gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 dollars are subtra

andrew11 [14]

Answer:

the answers is n=25. hope this helps

7 0

3 years ago

(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3

Stells [14]

Answer: The required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

Step-by-step explanation: We are given to find the inverse Laplace transform, f(t), of the following function :

$F(s)=\dfrac{16}{(s-4)^3}.$

We have the following Laplace formula :

$L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.$

Therefore, we get

$f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.$

Thus, the required inverse transform of the given function is

$f(t)=8t^2e^{4t}.$

6 0

3 years ago

Find the slope of the line that passes through (4,2) and (9,1)?

pshichka [43]

Answer:

The slope of the line is $\displaystyle -\frac{1}{5}$ .

Step-by-step explanation:

We are given two coordinate points:

$(4, 2)$
$(9, 1)$

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

$\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}$

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

$(x_1, y_1), (x_2, y_2)$

Therefore, we can also label our coordinates as such:

$x_1 = 4$
$y_1 = 2$
$x_2 = 9$
$y_2 = 1$

Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

$\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}$

Therefore, our slope is $\displaystyle -\frac{1}{5}$ .

8 0

2 years ago

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