The expressions are simplified to 2x and 
<h3>How to simply the expressions</h3>
1.
Given the expression;

Let's factorize the numerator;

Factor the common terms, we have;
2x
2. 
Find the Lowest common multiple

expand the brackets


collect like terms

Divide common terms

Thus, the expressions are simplified to 2x and 
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Answer:
Step-by-step explanation:
2x^+9x=10
2x^2+9x-10=0 is standard form
Answer:
The slope is 7.
Step-by-step explanation:
Let the given points are (p, q)= (-3, 10) & (r, s) =(-5, -4).
Then the slope (m) = (s-q)/(r-p)
⇒ m = (-4 -10)/(-5-(-3))
⇒ m = (-14) / (-5 +3)
⇒ m = -14/- 2
⇒m = 7
Hence the slope is m =7 .
Answer:
x = 11.7
Step-by-step explanation:
We have the following equation: -4.5(x-8.9)=12.6
First we divide both parts of the equation by -4.5
Then: (-4.5(x-8.9))/-4.5 = 12.6/-4.5
We get: (x-8.9) = 2.8
Then, solving for x:
(x-8.9) = 2.8 -> x = 2.8 + 8.9 = 11.7
The solution is: x = 11.7
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.