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motikmotik
4 years ago
10

Simplify the algebraic expression 3xy+5x+2+3y+x+4

Mathematics
1 answer:
Elza [17]4 years ago
4 0

Answer:

3xy+6x+3y+6

Step-by-step explanation:

You just need to combine like terms.

5x and x are like terms so you can add them to 6x.

2 and 4 are like terms so you can add them to 6

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28 (y - 1/7) = 28y - ?Rewrite, using the distributive property
Irina-Kira [14]

Given:

28(y-\frac{1}{7})=28y\text{ - ?}

To rewrite using distributive property, distribute the 28 to all values inside the parenthesis.

Thus, we have:

\begin{gathered} (28\ast y\text{ )-(28}\ast\frac{1}{7}) \\ =28y\text{ - 4} \end{gathered}

ANSWER:

28(y-\frac{1}{7})=28y\text{ - }4

28y - 4

4 0
2 years ago
Solve c = ab? for b.
jek_recluse [69]

Answer:

b = c/a

Step-by-step explanation:

7 0
3 years ago
What is the probability that all the roots of x2 + bx + c = 0 are real? [0,1]?
notsponge [240]

x^2+bx+c will have real roots when the discriminant of the quadratic, \Delta=b^2-4c, is non-negative, i.e.

b^2-4c\ge0\implies b^2\ge4c

Your question about probability is currently impossible to answer without knowing exactly what the experiment is. Are you picking b,c at random from some interval? Is the choice of either distributed a certain way?

I'll assume the inclusion of "[0,1]" in your question is a suggestion that both b,c are chosen indepently of one another from [0, 1]. Let B,C denote the random variables that take on the values of b,c, respectively. I'll assume B,C are identical and follow the standard uniform distribution, i.e. they each have the same PDF and CDF as below:

f_X(x)=\begin{cases}1&\text{for }0

F_X(x)=\begin{cases}0&\text{for }x

where X is either of B,C.

Then the question is to find P(B^2\ge4C). We have

P(B^2\ge4C)=P\left(C\le\dfrac{B^2}4\right)

and we can condition the random variable C on the event of B=b by supposing

P\left(C\le\dfrac{B^2}4\right)=P\left(\left(C\le\dfrac{B^2}4\right)\land(B=b)\right)=P\left(C\le\dfrac{B^2}4\mid B=b\right)\cdot P(B=b)

then integrate over all possible values of b.

=\displaystyle\int_{-\infty}^\infty P\left(C\le\dfrac{b^2}4\right)f_B(b)\,\mathrm db

=\displaystyle\int_{-\infty}^\infty F_C\left(\dfrac{b^2}4\right)f_B(b)\,\mathrm db

=\displaystyle\int_0^1\dfrac{b^2}4\,\mathrm db=\frac1{12}

4 0
3 years ago
The question is in the pic​
koban [17]

Answer:

The answer is E.

Step-by-step explanation:

Divide it into rectangles

3 0
2 years ago
Find the value of x?
Soloha48 [4]

Answer:

32

Step-by-step explanation:

4 0
4 years ago
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