Answer:
<h3> The equation has one valid solution and no extraneous of solutions.</h3>
Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>
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The first thing you should do is calculate the volume of the prism.
We have then:
V = h * L ^ 2
Where,
L: side of the square base.
h: height.
Substituting we have:
V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
Then, we can make the following rule of three:
1.5 feet ^ 3 ---> 6
0.5 feet ^ 3 ---> x
Clearing x we have:
x = (0.5 / 1.5) * (6) = 2 $
Answer:
it will cost Sara 2 $ to completely fill her planter with soil
Answer:
3:10
Step-by-step explanation:
1. Find the total number of students by doing
14 + 6= 20
2. Now make your ratio
6:20
3. To make it in simplest form, divide both sides by 2
6 divided by 2 is 3
20 divided by 2 is 10
4. Your answer is
3:10
> Factor the expression for the revenue
We are given that the revenue is the product of price and
number of units sold = x p. Given the equation of revenue we factor it:
R = 800 x – 0.25 x^2
Take out x from the equation:
R = x (800 – 0.25 x)
We see that this is now in the form x p
> Determine an expression for the price in terms of x
From the factored equation we can say that the price in
terms of x is:
<span>p = 800 – 0.25 x</span>
Answer:
6x-30
Step-by-step explanation:
expand the brackets
6×x
6×-5
