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Verdich [7]
3 years ago
5

2x-4=-4x+6 What value of x makes the equation true A x=5/3 B x=-5/3 C x=5 D x=-5

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0

Answer: 5/3

6x = 10

x=10/6

x=5/3

Arte-miy333 [17]3 years ago
6 0

Answer:

x = 5/3

Step-by-step explanation:

2x-4=-4x+6

Add 4x to each side

2x+4x-4=-4x+4x+6

6x -4 = 6

Add 4 to each side

6x -4 +4 = 6+4

6x = 10

Divide each side by 6

6x/6 = 10/6

x = 5/3

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Please answer all 3 parts it would help me a lot! (I WILL MARK BRAINLIEST I REALLY NEED THIS ANSWER PLEASE!)
kap26 [50]

Answer:

I’m not sure on b and c but did a for u

Step-by-step explanation:

A) the more the workers are working the more the products are made. This is because if 10 workers make 52 products and 90 people make 452 then 100 people can make 502 products.

5 0
3 years ago
Chose parameters h and k such that the system has a) a unique solution, b) many solutions, and c) no solution. X1 + 3x2 = 4 2x1
AysviL [449]

Answer:

a) The system has a unique solution for k\neq 6 and any value of h, and we say the system is consisted

b) The system has infinite solutions for k=6 and h=8

c) The system has no solution for k=6 and h\neq 8

Step-by-step explanation:

Since we need to base the solutions of the system on one of the independent terms (h), the determinant method is not suitable and therefore we use the Gauss elimination method.

The first step is to write our system in the augmented matrix form:

\left[\begin{array}{cc|c}1&3&4\\2&k&h\end{array}\right]

The we can use the transformation r_0\rightarrow r_0 -2r_1, obtaining:

\left[\begin{array}{cc|c}1&3&4\\0&k-6&h-8\end{array}\right].

Now we can start the analysis:

  • If k\neq 6 then, the system has a unique solution for any value of k, meaning that the last row will transform back to the equation as:

(k-6)x_2=h-8\\x_2=h-8/(k-6)

from where we can see that only in the case of k=6 the value of x_2 can not be determined.

  • if k=6 and h=8 the system has infinite solutions: this is very simple to see by substituting these values in the equation resulting from the last row:

(k-6)x_2=h-8\\0=0 which means that the second equation is a linear combination of the first one. Therefore, we can solve the first equation to get x_1 as a function of x_2 o viceversa. Thus,  x_2 (x_1) is called a parameter since there are no constraints on what values they can take on.

if k=6 and h\neq 8 the system has no solution. Again by substituting in the equation resulting from the last row:

(k-6)x_2=h-8\\0=h-8 which is false for all values of h\neq 8 and since we have something that is not possible (0\neq h-8,\ \forall \ h\neq 8) the system has no solution

6 0
3 years ago
Mr. Hammond is the volunteer coordinator for a company that puts on running races. Last year, the company organized 7 short race
worty [1.4K]

Answer:

28 short race volunteers

76 long race volunteers

Step-by-step explanation:

Let :

Short races = a

Long races = b

LAST YEAR:

7a + 8b = 804 - - - - (1)

THIS YEAR:

11a + 5b = 688 - - - (2)

Multiply (1) by 5 and (2) by 8

35a + 40b = 4020

88a + 40b = 5504

Subtract

-53a = - 1484

a = 1484 / 53

a = 28

Put a = 28 in equation (1)

7(28) + 8b = 804

196 + 8b = 804

8b = 804 - 196

8b = 608

b = 76

28 short race volunteers

76 long race volunteers

4 0
2 years ago
Help help help help<br> help:(
lora16 [44]

Answer:

The first one has the lowest cost per mL

Step-by-step explanation:

Devide each price by the mL to get the cost for 1 mL and then compare the results.

6 0
3 years ago
A bag contains 3 green marbles, 7 blue marbles and 2 black marbles. The probability of randomly picking a green marble is 1/4. W
Dima020 [189]
The probability of not picking a green is 3/4. To get this answer you would add up the blue and black marbles, giving you an answer of 9. You would then put 9 over 12, which simplified would equal 3/4. Another way to find the answer is to take 1 and subtract 1/4 because 1/4 is the probability of green marbles. Hope this helps!! Have an amazing rest of your day!! :) <span />
7 0
3 years ago
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