For this case, the main function is given by:
We can apply the following transformation:
Horizontal displacements:
Assume h> 0:
To graph f (x + h) move the graph of f (x) h units to the left.
For h = 1 we have:
Answer:
the graph y=6(x+1)^2 is the graph y=6x^2 moved 1 unit to the left.
A is the correct answer.
By definition, a function is a relation where each input has exactly one output. In letter A, the inputs 0, 1, 2, and 3 all have exactly one output.
In B, the input 1 has two outputs.
In C, the input 2 has two outputs.
In D, the input 2 also has two outputs.
Answer:
for a single pizza 1/10 a cup
for 12 pizzas 1 1/5 a cup
you can make 56 pizzas with 5 2/3 cups.
Step-by-step explanation:
for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10
for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5
Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10
56/10÷1/10= 56 pizzas
Answer:
"because the graphs of the two equations overlap each other"
Step-by-step explanation:
If he graphs both equations on the graphing calculator and it shows only one line this can mean only one thing:
<em>Both linear equations are the same</em>
An example of this is
x+y=2
2x+2x=4
If you simplify the second equation by dividing everything by 2 you get the same equation as the first one
This means the answer would be "because the graphs of the two equations overlap each other"
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Answer:
12.53
Step-by-step explanation:
∠BCA = (180°-40°)/2 = 70°
Laws of Sines: CA/sin 40° = AB/sin 70° = 5/sin 70°
CA = 5/sin 70° * sin 40° = 3.40
area of semicircle CA = (3.1416 * 1.70²) / 2 = 4.54
By Heron's Formula, area of triangle ABC:
1/4 √(a+b+c) (a+b-c) (b+c-a) (c+a-b) = 1/4 * √13.4*3.4*3.4*6.6
= 7.99
Entire region area = 4.54 + 7.99 = 12.53
