Answer:
-1
Step-by-step explanation:
Attached is a picture of slope formula:
1) Apply slope formula given two points:
(5--3)/(-2-6)
2) Simplify:
8/-8
3) Divide:
-1
Answer:
3 3/4 cubic inches,
Step-by-step explanation:
Stephanie puts 30 cubes in a box. The cubes are 1/2 inch on each side. The box holds two layers with 15 cubes in each layer. What is the volume of the box awnsers 5cubic inches, 7 1/2 cubic inches,3 3/4 cubic inches, 15 cubic inches.
✓From the question we are informed that Stephanie puts 30 cubes in a box. The cubes dimension are 0.5 inch on each of the sides.
✓ Since the sides is 0.5inch each, the volume is (0.5×0.5×0.5) The volume of one cube = (0.5 inch)³ = 0.125 inch³
✓ we can calculate the Volume of 30 cubes as
[ 30 cubes in a box × 0.125 inch³]
= 3.75 inch³
✓ 3.75 inch³ can be converted into fraction as (3 3/4) inch³ which is the third Option.
Comment
You have to begin by declaring what g(f(x)) means. It means that wherever you see an x in g(x) you put in f(x).
It will look like this to start with
g(f(x)) = (f(x) + 5) / (f(x)
Now substitute into this for g(-3)
g(x^2 + 5) = (x^2 + 5 + 5)/(x^2 + 5) It's time to use some numbers.
g(- 3) = ((-3)^2 + 10)/( (-3)^2 +5)
g(-3) = ( 9 + 10 ) / ( 9 + 5)
g(-3) = (19)/14 <<<<<< answer.
C <<<< answer.
1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6
1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4
solution (they intersect at) (1.6,1.4)
