15(x + 1) + 10(x) = 30(4) - 6( 2x - 1) <em>multiplied by 30 to clear the denominator</em>
15x + 15 + 10x = 120 -12x + 6 <em>distributed</em>
25x + 15 = 126 - 12x <em>added like terms</em>
37x + 15 = 126 <em>added 12x to both sides</em>
37x = 111 <em>subtracted 15 from both sides</em>
x = 3 <em>divided both sides by 37</em>
Answer:
Step-by-step explanation:
When you have exponents above a like term and they are being multiplied together, you add them.
For example:
So let's group like terms in the numerator:
We can add terms like in the example.
Let's rearrange the denominator.
Now we have:
Cancel like terms
4/8 = 1/2
= 1 So it cancels
= s Since s is raised to the -1 it goes on top and becomes s.
Now we combine everything back together:
The two factors multiplied together to make a trinomial is (x-1)(3x-2).
Given equation is 3x²-5x+2.
An algebraic equation which of the second degree in x is known as quadratic equation. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
In the given equation,
Multiply the first coefficient 3 with the last coefficient 2 so we get 2×3=6
Use any two numbers which on multiply give 6 and on adding or subtracting give -5.
Such two numbers are -2 and -3
On multiplying, (-3)×(-2)=6
On Adding, -3-2=-5
So, break -5x into -3x and -2x and we get
3x²-3x-2x+2
Taking out 3x common from the first two terms and -2 from the last two terms as
3x(x-1)-2(x-1)
Taking out the common term (x-1) as common and get
(x-1)(3x-2)
Hence, the two factors of the equation 3x²-5x+2 that can be multiplied together to make this trinomial is (x-1)(3x-2).
Learn more about factorization from here brainly.com/question/22673662
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Answer: Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n > 4
Interval Notation:
(4 ,∞)
Step-by-step explanation: No need for a step by step explanation