Answer: First Option
a) exponential function going through point (0, 2) and ending up on the right
Step-by-step explanation:
Look at the attached image, the red line represents a function of the form:
Note that this function cuts to the axis and at the point (0, 1)
Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.
If we perform the transformation 
then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)
The transform function is 
Finally the answer is the first option
100 sandwiches, using bun packages of 8...
100/8=12.5 Since you cant buy a half a package, round up to 13 packages
100 sandwiches, using bun packages of 12...
100/12=8.33 Since you cant have a third of a package, round up to 9 packages
Hello there!
First, let's categorize our monomials with the proper variables.
3x + 12x
11y - 5y
-10z -4z
Now, we can make these into simpler terms by adding/subtracting the sectioned variables.
3x + 12x = 15x
11y - 5y = 6y
-10z - 4z = -14z
Now let's place our results into an expression as a final answer.
15x + 6y - 14z is your final expression.
I hope this helps!
Answer:
73.4 cm^2
Step-by-step explanation:
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
Mark brainliest pls
Answer: 8 posters
Step-by-step explanation:
From the question, we are informed that Lincoln has 16 pins in one box and 17 pins in another box and that he uses 4 pins to hang each posters posted. The total number of posters he can hang with the pins goes thus:
We should first calculate the total number of pins he has.
= 16 + 17 = 33 pins
Since he uses 4 pins to hang a poster, we then divide 33 pins by 4.
= 33 ÷ 4
= 8.25
This means that he can hang 8 posters with the pin
