I think the answer is 4
If my memory serves me right then you have to do Q3-Q1
This is 6-2
The answer would be 4
Hope this is right and it helps :)
Answer:
You don't need to create 3 posts for a single question. I already answered it in your most recent one.
Answer:
fully factored form = 3(x-4)(x+8)
Step-by-step explanation:
first you factor 3 out
3(x^2+4x-32)
then factor it
3(x-4)(x+8)
Answer:
1. not continuous, as the function definitions deliver different function values at x=1 when approaching this x from the left and from the right side.
2.
2 = a + b
3.
0 = 2a + b
4.
a = -2
b = 4
Step-by-step explanation:
the function is continuous at a specific point or value of x, if the f(x) = y functional value is the same coming from the left and the right side at that point.
1. that means that for x=1
3 - x = ax² + bx
so,
3 - 1 = a×1² + b×1 = a + b
2 = a + b
we have to use a=2 and b=3
2 = 2 + 3 = 5
2 is not equal 5, so the assumed equality is false, so the function is not continuous there.
2. point 1 gave us already the working relationship between a and b.
2 = a + b
only if that is true, is the function continuous at x=1.
3. now for x=2
5x - 10 = ax² + bx
5×2 - 10 = a×2² + b×2 = 4a + 2b
10 - 10 = 4a + 2b
0 = 4a + 2b
0 = 2a + b
4. to find a and b to be continuous at both locations x=1 and x=2 both expressions in a and b must apply.
so, they establish a system of 2 equations with 2 variables.
2 = a + b
0 = 2a + b
a = 2 - b
0 = 2×(2-b) + b = 4 - 2b + b = 4 - b
b = 4
therefore
a = 2 - 4 = -2
5. I cannot draw a graph here.
just use now the function
3 - x, x < 1
‐2x² +4x, 1 <= x < 2
5x - 10, x >= 2
The value of any number multiplied by 1 stays exactly the same, right? Well, as it turns out, 1 can be written as the fraction 7/7, or the fraction 8/8, or 9/9, 10/10, 11/11... I could go on and on to infinity, but there's a pattern there. 1 simply means "1 whole," or "all of it." "All of it" looks different in different denominators, but the core idea is the same: if we split something into n pieces, "all of it" means we have all n of those pieces. The numerator and denominator will always been the same, no matter how we want to represent 1.
What does this have to do with our problem? Well, we don't want to change the <em>value </em>of our fraction, we just want to change its <em>label</em>. So what we're going to do is multiply it by 1, but we're going to make sure to pick the right <em>label</em> for that 1.
7/12 x 1 = 7/12. This will be true no matter what. Let's see which of these options actually fit the bill:
Can we get this fraction by multiplying 7/12 from some form of 1? Well, 14 = 7 x 2, so let's see what we get if we pick the form 1 = 2/2:
Nope, not quite. 14/28 is <em>not </em>equivalent to 7/12.
What about 21/36? 21 = 7 x 3, so let's give the form 1 = 3/3 a shot:
There we go! All we did there was <em>relabel </em>7/12 by multiplying by form of 1. Since we never changed its value, we can stop our search here and conclude that 21/36 is equivalent to 7/12.
