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3 years ago

Can someone write the slope-intercept form of the graph below

Mathematics

1 answer:

abruzzese [7]3 years ago

5 0

Answer:

y = -2x + 2 i think

Step-by-step explanation:

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(a + b)(a ² - ab + b ²) Please help!

kvasek [131]

Hey there :)

( a + b )( a² - ab + b² )
Let us distribute ( a + b )

a ( a² ) + a ( - ab ) + a ( b² ) + b ( a² ) + b ( - ab ) + b ( b² )
a³ - a²b + ab² + a²b - ab² + b³

We can simplify further:
- a²b + a²b = 0
ab² - ab² = 0

a³ + b³

You can see in the picture I have attached that this is the 7th formula

4 0

3 years ago

Read 2 more answers

List the sequence of transformations. ()=−2(−3)^4+1

SVEN [57.7K]

We have the function:

()=−2(−3)^4+1

We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:

Vertical translation: f(x) - 1

= −2(−3)^4

Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:

f(x + 3) + 1 = −2()^4

Horizontal shift: f(x + 3) - 1

= −2x^4

We can make a horizontal expansion if we multiply this function by 1/2:

Horizontal expansion: ( f(x + 3) - 1 ) / 2

= -x^4

Finally, we make a reflection around the x-axis by multiplying this result by -1:

x-axis reflection: -( f(x + 3) - 1 ) / 2

= x^4

8 0

1 year ago

The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$

3 0

2 years ago

What is the average size of a toothpick

Tanzania [10]

About less than 3 inches :)

4 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through each pair of points

lyudmila [28]

Answer:

-1

Step-by-step explanation:

The slope of the line can be found by

m = (y2-y1)/(x2-x1)

= (-2-1)/(1--2)

=-3 /(1+2)

=-3/3

-1

3 0

3 years ago