In order to convert a fraction into a decimal, you can do one of two ways. I'll do the manual way, first since that's probably what your teacher would prefer.
First, find something that will multiply in the denominator that will equal 10,100,1000.
In this case, it will be 1,000.
1,000 ÷ 8 = 125.
So, you will multiply both the numerator and the denominator by 125.
3 x 1,000 = 375
8 x 125 = 1,000
Now, you have a BIG fraction of 375/1,000 but it's OKAY! Why? You're almost done.
Take your numerator of 375. Since your denominator has 3 zeros in it, you'll be moving your decimal 3 places to the right (from the imaginary decimal in front of the 3). So, we'll have 0.375.
So, your decimal of 3/8 is 0.375.
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Now, for the easiest way!
You will simply divide 3 ÷ 8 = 0.375
Answer:
Step-by-step explanation:
<u>Quadratic Function</u>
The quadratic function can be expressed in the following form:
Where a is a real number different from 0, and x1, x2 are the roots or zeroes of the function.
From the conditions stated in the problem, we know
x_1=1+\sqrt{2}, \ x_1=1-\sqrt{2}
Substitute in the general formula above:
![y=a[x-(1+\sqrt{2})][x-(1-\sqrt{2})]](https://tex.z-dn.net/?f=y%3Da%5Bx-%281%2B%5Csqrt%7B2%7D%29%5D%5Bx-%281-%5Csqrt%7B2%7D%29%5D)
Operate the indicated product
To find the value of a, we use the y-intercept which is the value of y when x=0, thus
It follows that
Thus, the required quadratic function is
Or, equivalently
Answer:
- A = 1.5
- B = -1/3
- C = -4/3
Step-by-step explanation:
For A:
- A is smack in the middle of 1 and 2, so it it 1 1/2 or 1.5 (same thing)
For B:
- Each tick mark between the numbers represents 1/3
- B is on the first tick mark between 0 and -1, so therefore it is -1/3
For C:
- C is on the first tick mark between -1 and -2
- That means C is -1 1/3
- -1 1/3 = -4/3
I hope this helps!
