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FromTheMoon [43]
3 years ago
14

If ax+3=7-bx what is x expressed in terms of a and b

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
All we want to do is get an equation with just x on one side and no x's on the other.
We can use inverse operations to accomplish this.

First, bring bx to the left side. Subtract the 3.
Factor ax+bx to x(a+b). (this is pretty much reversing the distributive property)
Divide by a+b and you are left with just x on the left side as 4/(a+b).

ax+3=7-bx \\ ax+bx+3=7-bx+bx\\ax+bx+3=7 \\\\ ax+bx+3-3=7-3\\ax+bx=4 \\\\ x(a+b)=4 \\\frac{x(a+b)}{a+b}=\frac{4}{a+b}\\\boxed{x=\frac{4}{a+b}}
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1/2(4-+6x)=1/3x+2/3(x+9)
KonstantinChe [14]

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The value of x for the expression is 2

Step-by-step explanation:

Given algebraic expression as :

\frac{1}{2}(4 + 6 x ) = \frac{1}{3} x + \frac{2}{3} ( x + 9 )

Now, solving the given expression

Or, \frac{1}{2} × 4 + \frac{1}{2} × 6 x = \frac{1}{3} x + \frac{2}{3} x + \frac{2}{3} × 9

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or, 2 + 3 × x = \frac{x}{3} + \frac{2 x}{3}  + 6

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8 0
3 years ago
5.write a null hypothesis for the following: sunflower seeds planted in a wet soil will grow faster than sunflower seeds planted
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Null hypothesis is stated as H0: Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.

Null hypothesis is defined as the hypothesis that stated that there is no relationship between the two population parameters. It is denoted by H0

To form the null hypothesis we take it as

   Null hypothesis : The sample data provides no evidence to support some claim being made by an individual.

Thus according to the question the null hypothesis can be stated as

 Null hypothesis, h0 : Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.

Learn more about null hypothesis here : brainly.com/question/25263462

#SPJ4

6 0
2 years ago
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