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2 years ago

What is the answer, been stuck for 20 minutes.

Mathematics

1 answer:

vlabodo [156]2 years ago

6 0

Answer:

y= -1/2x - 4 ?

Step-by-step explanation:

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Ms. Johnson asked her class to write an equivalent expression to

dimulka [17.4K]

No one got the correct answer. The answer is supposed to be 7(2d+3k-dk-1). All the coefficients are divisible by 7, thus only the integers are changed. However, the variables cannot be a factor because they do not have the same variables that all the coefficients must have.

7 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

Which of the following is equivalent to 2 2/5?<br> A. 1 7/5<br> B. 1 12/5<br> C. 1 6/5<br> D. 1 9/5

vazorg [7]

A. 1 7/5 is the answer

8 0

3 years ago

Read 2 more answers

This is line segments

lianna [129]

Step-by-step explanation:

$here \: given \: that \: total \: lenth = bd = 67 \\ then \: bd = bc + cd \\ so \: we \: can \: write \: that \\ 67 = 3x - 2 + 4x + 13 \\67 = 3x + 4x - 2 + 13 \\ 67 = 7x + 11 \\ 7x = 67 - 11 \\ 7x = 56 \\ x = \frac{56}{7} \\ x = 8 \\ thankyou$

8 0

3 years ago

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35 is 70% of what number?

vova2212 [387]

The equation is 70     35
                          ----- = ------
                          100      x
To solve, multiply diagonally
You should get 70x = 3500
Then to get x alone, divide each side by 70
Your answer should be 50

5 0

4 years ago

Read 2 more answers