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Irina-Kira [14]
3 years ago
15

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

Mathematics
1 answer:
USPshnik [31]3 years ago
6 0
Multiply out the bracket and you get:
(3/4 x 4)- 3/4 *1 = 1/3
- 2/3x +5
3 - 3/4 = 4 2/3 - 2/3 x
2 1/4 - 4 2/3 = -2/3 x
9/4 - 14/3 = -2/3 x
27/12 - 56/12 = -8/12 x
-29/12 = -8/12 x
X = 29/12 * 12/8

x= 3 5/8
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Consider the following pair of equations:
Zinaida [17]

Answer:

The lines representing these equations intercept at the point (-4,2) on the plane.

Step-by-step explanation:

When we want to find were both lines intercept, we are trying to find a pair of values (x,y) that belongs to both equations, which means that it satisfies both equations at the same time.

Therefore, we can use the second equation that gives us the value of y in terms of x, to substitute for y in the first equation. Then we end up with an equation with a unique unknown, for which we can solve:

x+y=-2\\x+(2x+10)=-2\\x+2x+10=-2\\3x+10=-2\\3x=-2-10\\3x=-12\\x=\frac{-12}{3} \\x=-4

Next we use this value we obtained for x (-4) in the same equation we use for substitution in order to find which y value corresponds to this:

y=2x+10\\y=2(-4)+10\\y=-8+10\\y=2

Then we have the pair (x,y) that satisfies both equations (-4,2), which is therefore the point on the plane where both lines intercept.

5 0
3 years ago
2,-10,50,-250,.. Geometric sequence
nikklg [1K]

This question is incomplete, here is the complete question

What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Step-by-step explanation:

To find the recursive formula for a geometric sequence:

  1. Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
  2. Find the common ratio. (The number you multiply or divide.)
  3. Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.

The recursive formula is:

a_{1} = first term;  a_{n} = r • a_{n-1}  , where

  • a_{1} is the first term in the sequence
  • a_{n-1} is the term before the nth term  
  • r is the common ratio

∵ The geometric sequence is 2 , -10 , 50 , -250

∴ a_{1} = 2

- To find r divide the 2nd term by the first term

∵ r=\frac{a_{2}}{a_{1}}

∴ r=\frac{-10}{2}=-5

- Substitute the values of a_{1} and r in the formula above

∴  a_{1} = 2; a_{n} = (-5) • a_{n-1}

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Learn more:

You can learn more about the geometric sequence in brainly.com/question/1522572

#LearnwithBrainly

8 0
3 years ago
Evaluate the expression when g=4 and h= 7.<br> 56<br> -9<br> h
pav-90 [236]

Answer:

??????????

Step-by-step explanation:

6 0
3 years ago
Find the value of x for which<br>З(2^x-3) = 384​
NNADVOKAT [17]

Answer:

x=log2(131)

Step-by-step explanation:

3(2^x-3)=384

x=7.03342

i don't know this question but i have made it by photomath app.

you can get it from playstore

8 0
3 years ago
Three times a number is equal to say when 5 is added to to the number .find the number.​
sladkih [1.3K]

Answer:

2.5

Step-by-step explanation:

3x=x+5

2x=5

x=5/2 or x=2.5

5 0
3 years ago
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