Answer:
6.8, 16.6, 26.4, 36.2
Step-by-step explanation:
Let's write the sequence, d is the common difference:
- 3, - 3 + d, - 3 + 2d, -3 + 3d, - 3 + 4d, 46
Therefore 46 = -3 + 5d
5d = 49
d = 49/5 = 9.8
So the first arithmetic mean is -3 + 9.8 = 6.8. and the second is -3 + 2(9.8) = 16.6...
They are:
6.8, 16.6, 26.4, 36.2.
First, let's convert the mixed fraction into an improper fraction (trust me, mixed fraction are pretty much the worst things to deal with, especially with higher level math):


Then, to subtract, since you need a common denominator, I would multiply the second fraction by 2 to get:

Now that we have a common denominator, we are ready to subtract:

Since that's the most simplified form, and you have been asked the question in a mixed fraction form, let's convert that to a mixed fraction. The remainder of the numerator divided by the denominator is 1, and the quotient is 3. The denominator stays the same. So, this is what results:

And that's your answer:

Hope this all makes sense. If anything doesn't, feel free to tell me!
Answer:
16 meters
Step-by-step explanation:
you literally gave the answer in the question unrounded
Answer:
1)6x^2+7x-24
2) x-4
3) f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7
f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15
4)f'(x)=(x-7)/3
Step-by-step explanation:
1) f(x)=2x-3 g(x)=3x+8
f(x)*g(x)=m(x)=(2x-3)(3x+8)=6x^2+16x-9x-24=6x^2+7x-24
2) f(x)=x^2+x-20 g(x)=x+5
f(x)/g(x)=p(x)=(x^2+x-20)/(x+5)=> by finding the roots of f(x) we obtain =
(x-4)(x+5)/(x+5)--->f(x)/g(x)=p(x)=(x-4)
3) f(-3)=-14 g(-3)=2 f(-3)/g(-3)=-7 and p(-3)=-3-4=-7
f(-11)=90 g(-11)=-6 f(-11)/g(-11)=-15 and p(-11)=-11-4=-15
4) If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back x
y=3x+7
(y-7)/3=x=--> f'(x)=(x-7)/3
Note: Let us consider, we need to find the gradient of line L.
Given:
The given equation of a line is:

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).
To find:
The gradient of the given line and the gradient of line L.
Solution:
Slope intercept form of a line is:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get

Therefore, the gradient of the given line is -4.
The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:




Therefore, the gradient of the line L is
.