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postnew [5]
3 years ago
11

Please help. I will give brainliest(:

Mathematics
2 answers:
Tanzania [10]3 years ago
7 0
Distribute the -4. Then combine like terms.

24 - 4(5y - 6z) + 3y - 7z =

= 24 - 20y + 24z + 3y - 7z

= - 20y + 3y + 24z - 7z + 24

= -17y + 17z + 24
Musya8 [376]3 years ago
7 0
The answer is D Because you have to add the like terms

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this is the rust of the questions please please some one helps me because I really try my best to solve it . thank you ​
lyudmila [28]

Answer:

x = 24.

r $ \ne $ 0.

Step-by-step explanation:

2. The given equation is:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

Multiplying throughout by 6, we get:

$ \frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2) $

$ \implies 3(x - 4) = 2x + 12 $

$ \implies 3x - 12 = 2x + 12 $

$ \implies x = 24 $

Therefore, the solution of the equation is 24.

3. The given equation is: $ ry + s = tx - m $

To solve for y:

We can rearrange the equation as:

$ ry = tx - m - s $

$ \implies y = \frac{tx - m - s}{r} $

or, $ y = \frac{tx - (m + s)}{r} $

Note that we have to impose a condition on variable $ r $. It would be that $ r $ can never be zero. i.e., $ r \ne 0 $. Otherwise, the value of $ y $ would be undefined.

4 0
3 years ago
If you are given the graph of h(x) = log. x, how could you graph m(x) = log2(x+3)?
Agata [3.3K]

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

h(x)=\log_2x

m(x)=\log_2(x+3)

The function m(x) can be written as

m(x)=h(x+3)           ...(1)

The translation is defined as

m(x)=h(x+a)+b           .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

a=3,b=0

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

3 0
3 years ago
45. Homer’s car has run out of gasoline. He walks 12 km west and then 5 km south looking for a gasoline station. If he is now h
yan [13]

Answer:

13

Step-by-step explanation:

use pythagorean theorem

8 0
3 years ago
Read 2 more answers
Please take this points
MissTica
Thank you I would love to accept this great present and gift from you king
4 0
3 years ago
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Solve for y.<br> 2 (y-2) = 4y + 8 - 2 (-4y - 3)
Lubov Fominskaja [6]

Answer:

-1.5

Step-by-step explanation:

  • 2 (y-2) = 4y + 8 - 2 (-4y - 3)
  • 2y-4=4y+8+8y+6
  • 2y-4=12y+14
  • -4-14=14y-2y
  • -18=12y
  • y=-18/12
  • y=-1.5
5 0
3 years ago
Read 2 more answers
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