Answer:
(x - 2)(x + 2)
Step-by-step explanation:
x² - 4 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), that is a product of two binomials
Given
x² - 4
= x² - 2²
= (x - 2)(x + 2)
Answer:
Option (2)
Step-by-step explanation:
Option (1)
In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.
Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.
And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.
Option (2)
In this option, graph is below the x-axis in the interval [-1, 1].
Therefore, the given graph is negative in this interval.
Option (3)
In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.
Option (4)
In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.
So this function is positive in the interval [-1, 1].
Therefore, Option (2) will be the answer.
The answer is A. x=4.
Start off by distributing the parentheses into the equation.
4x+2(x+6)=36
4x+2x+12=26
Combine like terms.
4x+2x=6x
6x+12=36
Now solve the equation as normal. Begin by subtracting 12 from both sides to isolate the variable.
6x+12=36
-12 -12
---------------
6x = 24
Divide 6 on both sides to find x.
6x=24
---- -----
6 6
x=4
The solution to the equation is 4.
Both denominators are 4, so we can add the numerators to place over the common denominator. The numerators are -3 and -3, which add to -6. One way to think of negative numbers is to think of IOUs, which are a way of expressing debt in money. For instance, if you go into a store and buy a $10 item, but only have $3 in your pocket, then you would have to owe the owner $7. This can be represented with -7. If you repeat the process, then you'd have 7+7 = 14 in IOUs total. This would be represented with -14
In short, adding negative numbers is really the same as adding positives, but the final result is negative
So that's why -3+-3 turns into -6. We add the two threes like normal but then make the final result negative. All throughout this process, the denominator stays at 4.
So we end up with -6 over 4 which reduces to -3 over 2. How is this reduction happening? We are simply dividing each piece by the greatest common factor 2.
-6 divided by 2 = -3
4 divided by 2 = 2
Step-by-step explanation:
g(x) = 3x² + 2
h(x) = 2x + 2
g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2
= 3[4x² + 8x + 4] + 2
= 12x² + 24x + 12 + 2
= 12x²+ 24x + 14
