Answer:
x = 4
Step-by-step explanation:
Carry out the multiplication:
5(х – 10) = 30 — 15х => 5x - 50 = 30 - 15x
Combining the x terms, we get:
20x - 50 = 30
Combining the constants on the right side:
20x = 80
Dividing both sides by 20 yields x = 4 (second given answer)
The expression that is not a rational expression is:
<h3>What is a rational expression?</h3>
A rational expression is an expression that has a variable in the denominator.
For expression , x + 3 is a common term to the numerator and denominator, hence it is simplified to 2x - 1 and is not a rational expression.
More can be learned about rational expressions at brainly.com/question/2264785
#SPJ1
'Vertex form', having just googled it, is another name for completing the square, which I have done extensively at school. This involved converting:
f(x) = ax^2 + bx + c --> f(x) = a(x-b)^2 + c
In the completed-square form, (b, c) are the co-ordinates of the vertex (which is the maximum/minimum point). So for part a:
- Here is the original
f(x) = x^2 + 12x + 11
- Halve the x-coefficient (the number before x) and use it as -b in the vertex form described above. You must then calculate the square of this number and minus it at the end because when you multiply it out, this is the surplus you will make along with x^2 + 12x:
f(x) = (x + 6)^2 - 36 + 11
- Tidy this up by collecting the constant (just number) terms together:
f(x) = (x + 6)^2 - 25
- Using the form a(x - b)^2 + c, we can work out that b = -6 (because -b = 6) and c = -25. This gives us the vertex (-6, -25) which is a minimum point because the graph is a positive quadratic, giving us the characteristing 'U' shape which has a bottom. If it were a negative quadratic (denoted by a negative x^2 coefficient), the vertex will be a maximum point because it has an 'n' shape instead.
- To solve the equation from here, make the function equal to zero:
(x + 6)^2 - 25 = 0
- Then take 25 to the other side:
(x + 6)^2 = 25
- Next, square-root both sides:
x + 6 = <span>±5
- Rearrange to finish:
x = -6 </span><span>± 5 = -1 or -11
- Therefore, the roots (solutions) to the equation x^2 + 12x + 11 = 0 are x = -1 or -11
This method will work the same for the other equations up there too, so I will leave them for you to do.
I hope this helps
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Answer:
Yes i think so
Step-by-step explanation:
Answer:
that was so cute I dont even know who you are talking about tho lol
