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3 years ago

i wil give you a brainlyest if you help me and five stars simplify the expression like terms 2(x+6)+3x+4=

Mathematics

2 answers:

nekit [7.7K]3 years ago

7 0

Answer: 5x + 16

Step-by-step explanation: distribute, add the numbers, and combine like terms.

Natalija [7]3 years ago

6 0

Answer:

x = -3.2

Step-by-step explanation:

First, solve parenthesis:

2(x+6)+3x+4= 0 (Given)

2x + 12 + 3x + 4 = 0 (distributive property of equality)

Then, you comibine like terms:

2x + 12 + 3x + 4 = 0

5x + 16 = 0 (Combining like terms)

And then, move the variables to the left and constants to the right:

5x + 16 = 0

5x = -16 (Subtraction property of equality) You subtract 16 from both side, since the variable is on the right already you leave it that way.

Finally, you divide both sides to get the answer ( solve for X):

5x = -16

x = -3.2 (division property of equality)

There is your answer!

Hope this helps!

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The first three terms of an arithmetic series are 6p+2, 4p²-10 and 4p+3 respectively. Find the possible values of p. Calculate t

Doss [256]

Answer:

First Case:

$\displaystyle p=\frac{5}{2}\text{ and } d=-2$

Second Case:

$\displaystyle p=-\frac{5}{4}\text{ and } d=\frac{7}{4}$

Step-by-step explanation:

We know that the first three terms of an arithmetic series are:

$6p+2, 4p^2-10, \text{ and } 4p+3$

Since this is an arithmetic sequence, each subsequent term is d more than the previous term, where d is our common difference.

Therefore, we can write the second term as;

$4p^2-10=(6p+2)+d$

And, likewise, for the third term:

$4p+3=(6p+2)+2d$

Let's solve for d for each of the equations.

Subtracting in the first equation yields:

$d=4p^2-6p-12$

And for the second equation:

$2d=-2p+1$

To avoid fractions, let's multiply the first equation by 2. Hence:

$2d=8p^2-12p-24$

Therefore:

$8p^2-12p-24=-2p+1$

Simplifying yields:

$8p^2-10p-25=0$

Solve for p. We can factor:

$8p^2+10p-20p-25=0$

Factor:

$2p(4p+5)-5(4p+5)=0$

Grouping:

$(2p-5)(4p+5)=0$

Zero Product Property:

$\displaystyle p_1=\frac{5}{2} \text{ or } p_2=-\frac{5}{4}$

Then, we can use the second equation to solve for d. So:

$2d_1=-2p_1+1$

Substituting:

$\begin{aligned} 2d_1&=-2(\frac{5}{2})+1 \\ 2d_1&=-5+1 \\ 2d_1&=-4 \\ d_1&=-2\end{aligned}$

So, for the first case, p is 5/2 and d is -2.

Likewise, for the second case:

$\begin{aligned} 2d_2&=-2(-\frac{5}{4})+1 \\ 2d_2&=\frac{5}{2}+1 \\ 2d_2&=\frac{7}{2} \\ d_2&=\frac{7}{4}\end{aligned}$

So, for the second case, p is -5/4, and d is 7/4.

By using the values, we can determine our series.

For Case 1, we will have:

17, 15, 13.

For Case 2, we will have:

-11/2, -15/4, -2.

8 0

3 years ago

Ana cuenta una noticia a 5 personas. A la hora siguiente, cada una de ellas se la cuenta a otras 5, y así sucesivamente. ¿Cuánto

TiliK225 [7]

Answer:

3 horas si se toma apartir de lo que se dice en el problema

5 0

3 years ago

In the pair of equations bx-6y=18 and 2x-3y=9, b is a whole number. The system of two equations has infinitely many solutions. W

statuscvo [17]

To have infinite solutions, they have to be th esame line

match waht we do know

bx-6y=18
the coefient of y is -6
other one is
2x-3y=9
-3 times 2=-6
times 2nd equation by 2
4x-6y=18
bx-6y=18
b=4

8 0

4 years ago

Read 2 more answers

WHO EVER ANSWERS FIRST WILL GET BRAINLY 3a = 42

wlad13 [49]

Answer:

a=14

Step-by-step explanation:

7 0

3 years ago

In ΔXYZ, ∠Y=90° and ∠X=24°. ∠ZWY=81° and XW=7.1. Find the length of WY to the nearest 10th.

Brums [2.3K]

Answer:

0.5

Step-by-step explanation:

delta math

4 0

3 years ago