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Ronch [10]
3 years ago
6

-20 = -5 - 3x I need help on this​

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

x=5

Step-by-step explanation:

add 5 to both sides

-20+5 = -3x

-15=-3x   (divide)

x=5

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All expressions equivalent to 4(2+x):
Zina [86]

Answer and Step-by-step explanation:

8 + 4x -- Distributed the 4 to the 2 and x.

2(4 + 2x)  -- Taking out the 2 from the 8 and 4x, instead of the 4.

These are the answers.

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

4 0
3 years ago
P(k)=a^k=2 3 4 find value of a that makes this is a valid probability distribution
Vesna [10]
Sounds like you're asked to find a such that

\displaystyle\sum_{k=2}^4\mathbb P(k)=\mathbb P(2)+\mathbb P(3)+\mathbb P(4)=1

In other words, find a that satisfies

a^2+a^3+a^4=1

We can factorize this as

a^4+a^3+a^2-1=a^3(a+1)+(a-1)(a+1)=(a+1)(a^3+a-1)=0

In order that \mathbb P(k) describes a probability distribution, require that \mathbb P(k)\ge0 for all k, which means we can ignore the possibility of a=-1.

Let a=y+\dfrac xy.

a^3+a-1=\left(y+\dfrac xy\right)^3+\left(y+\dfrac xy\right)-1=0
\left(y^3+3xy+\dfrac{3x^2}y+\dfrac{x^3}{y^3}\right)+\left(y+\dfrac xy\right)-1=0

Multiply both sides by y^3.

y^6+3xy^4+3x^2y^2+x^3+y^4+xy^2-y^3=0

We want to find x\neq0 that removes the quartic and quadratic terms from the equation, i.e.

\begin{cases}3x+1=0\\3x^2+x=0\end{cases}\implies x=-\dfrac13

so the cubic above transforms to

y^6-y^3-\dfrac1{27}=0

Substitute y^3=z and we get

z^2-z-\dfrac1{27}=0\implies z=\dfrac{9+\sqrt{93}}{18}
\implies y=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}
\implies a=\sqrt[3]{\dfrac{9+\sqrt{93}}{18}}-\dfrac13\sqrt[3]{\dfrac{18}{9+\sqrt{93}}}
6 0
4 years ago
what is the equation of the line with slope -3 and y-intercept 6? Express your answer in slope-intercept form.
USPshnik [31]

Answer:

y=-3x+6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An insecticide contain 86 centigrams of inert ingredient for every 1 centigram of active ingredient. If a quantity of the insect
Ludmilka [50]

In each quantity of 87 cg, 1 of them is active ingredient. In the quantity of interest,

... (1/87)·522 cg = 6 cg . . . is active ingredient

The remainder of that quantity, 516 cg, is inactive ingredient.

7 0
3 years ago
Is the slope positive?
Nitella [24]

Answer:

Yes

Step-by-step explanation:

The line is pointing up therefore the slope will be positive

3 0
3 years ago
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