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3 years ago

What is the solution to 4(x-1)-2(3x+5)=-3x-1

2 answers:

4 0

To solve this problem, we need to get the variable x alone on one side of the equation. To begin, we are going to use the distributive property twice on the left side of the equation to expand the multiplication and get rid of the parentheses.

4(x-1) - 2(3x + 5) = -3x -1

4x - 4 -6x - 10 = -3x - 1

Next, we should combine like terms on the left side of the equation. This means we should add/subtract the variable terms and the constant terms in order to simplify this equation further.

-2x - 14 = -3x - 1

Then, we have to add 3x to both sides of the equation to get the variable terms all on the left side of the equation.

x - 14 = -1

After that, we should add 14 to both sides of the equation to get the variable x alone one the left side of the equation.

x = 13

Therefore, the answer is 13.

Hope this helps!

Gnom [1K]3 years ago

3 0

4 (x-1)-2 (3x+5)=-3x-1
4x-4-6x-10=-3x-1 Distribute.
-2x -14= -3x-1 Combine like terms.
-14 = -x -1 Add 2x to both sides.
-13 = -x Add 1 to both sides to get x alone.
13 = x Divide both sides by -1 to get x positive and you habe your answer.

x=13

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* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both

Nina [5.8K]

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective $n^{th}$ terms as following:

Sequence A. $3n - 2$

Sequence B. $10 - 2n$

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the $n^{th}$ terms of the respective sequences as equal and let us verify that.

$3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}$

When we talk about $n^{th}$ terms, $n$ here is a whole number not a fractional number.

But as per the statement as stated by Sally $n$ is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

7 0

2 years ago

What do i do for this problem

Margaret [11]

<span>The answer would be 20.

The question is asking you to find the value of the expression for when c = 100, so we have to put 100 where c is in the equation. Given that fact, we start with c/5, then put the 100 in for c.
c/5 = ??
100/5 = 20. </span>

4 0

3 years ago

Read 2 more answers

Guys, please please help me

agasfer [191]

Answer:

508.68

Step-by-step explanation:

Upper and lower surfaces of the cylinder:

$\pi r^{2} =9\pi \\S=2*9\pi =18\pi$

Side area of the cylinder:

$S=sh=\pi dh=6\pi *3*8=144\pi$

The total area:

$S=114\pi +18\pi =162\pi =162*3.14=508.68$

5 0

3 years ago

(100+ POINTS)

horsena [70]

Answer:

1) 102.7 meters

2) 11

Step-by-step explanation:

1) -4.9x² + 75x = -4.9x² + 50x + 38

25x = 38

x = 1.52 s

Height = -4.9(1.52)² + 75(1.52) = 102.67904 m = 102.7 m

2) f(x) = x² + 3x - 2

f(2) = 2² + 3(2) - 2 = 8

f(6) = 6² + 3(6) - 2 = 52

Average rate of change:

(52-8)/(6-2) = 11

5 0

3 years ago

Read 2 more answers

Rewrite as a simplefied fraction

9966 [12]

Answer:
79/25

Work:

Firstly, you have to change the decimal portion of 3.16 (0.16) into a fraction, then you simplify it by a common factor, which is 4. You then convert your whole number, which is 3, into an improper fraction by multiplying it by 25 and making that the numerator, 25 being the denominator of the fraction. Then, you add the two fractions and voila! You have a simplified fraction!

0.16 = 16/100

16/100 = 4/25

3 x 25 = 75

75/25 + 4/25 = 79/25

3 0

3 years ago