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kvv77 [185]
2 years ago
5

Solve ax + b = cx + d for x.

Mathematics
1 answer:
romanna [79]2 years ago
6 0

Answer: X = (d-b) / (a-c)

This way this worded is weird but I think I got it

Step-by-step explanation:

Subtract B from both sides

ax = cx +d -b

Then subtract CX from both sides

ax -cx =d-b

Distributive Property

x(a-c) =d-b

Divide both sides by a-c

X = (d-b) / (a-c)

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If 3 to the power of x+1 = 81 and 81 to the power of x-y = 3 then what is the value of x and y?
fgiga [73]
From 1st condition:

3^(x+1)=81
Take log on both sides,
➡ log [3^(x+1)]=log81
Use the property: log(x^a)=a logx
➡ (x+1) log 3=log(3⁴)
➡ (x+1) log 3=4×log 3
➡ (x+1)=4 (log 3 /log 3)
➡ x+1=4
➡ x=3➡↪➡↪ ANS

From 2nd condition, (Same process are repeated)

81^(x-y)=3
➡ 3^4(x-y)=3
➡ log [3^4(3-y)]=log 3
➡ 4(3-y) log 3=log 3
➡ (3-y)=(log 3)/(4log 3)
➡ 3-y=(1/4)
➡ y=11/4 ➡↪➡↪ ANS
4 0
2 years ago
Nine times the sum of a number and eleven is -108. What is the number?
katovenus [111]

Answer:

So like I shouldn't represent with a letter? I should use 2?

8 0
2 years ago
What is the range of the function y=2sin x
statuscvo [17]

take the absolute value of the coefficient (2)

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so the range is [-2,2]


7 0
2 years ago
Read 2 more answers
-3x-2y=-1<br> 4x+6y=12<br><br> what’s all the steps and answer to this equation
abruzzese [7]

Answer:

x = -9/5

y = 16/5

Step-by-step explanation:

-3x-2y=-1            first you need to multiply the numerator by 3 so when adding

4x+6y=12           the y's cancel and you get a single variable

3(-3x-2y=-1)     —>  -9x - 6y = -3     then you add the like terms

 4x+6y=12      —>   4x + 6y = 12

(-9x+4x) + (6y - 6y) = (-3 + 12)

-5x = 9  then you divide by -5

x = -9/5

then you plug this in to either equation

4(-9/5) + 6y = 12

-36/5 + 6y = 12   then you add 36/5 to both sides

6y = 96/5  then you divide by 6

y = 16/5

6 0
3 years ago
Which set of numbers are factors of 8? *<br><br> 1, 4, 5<br> 1, 2, 5<br> 1, 2, 4
SVEN [57.7K]

Answer: 1,2,4

Step-by-step explanation: hope it helps thx for the points :)

8 0
3 years ago
Read 2 more answers
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