<span>(1 x 100000000) + (1 x 10000000) + (9 x 1000000) + (0 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (3 x 1)</span><span>One hundred nineteen million and three
</span>
Answer:
f(x) = -4x²+24x -28
Step-by-step explanation:
The given zeros are a sum and a difference. You can use the special factoring of the product of a sum and difference to simplify the product of the factors of the quadratic. Each zero 'p' corresponds to a factor (x -p):
f(x) = a(x -(3 +√2))(x -(3 -√2)) = a((x -3)² -(√2)²) = a((x -3)² -2)
We can find the leading coefficient 'a' from the given point:
f(1) = -8 = a((1 -3)² -2) = 2a
a = -8/2 = -4
Then the function can be written as ...
f(x) = -4((x -3)² -2) = -4(x² -6x +9 -2)
f(x) = -4x²+24x -28
Answer:
34.54 in (Answer C)
Step-by-step explanation:
The formula for the circumference of a circle whose radius is known is
C = 2πr.
Here, r = 5.5 and π ≈ 3.14, and so the circumference of the circle is
C = 2(3.14)(5.5 in) = 34.54 in (Answer C)
Using the binomial distribution, where the number of trials is n and the probability of success is p, the mean is equal to np.
Therefore the mean of x in the question is 100 * 0.7 = 70.
The answer is: 70 circuit boards.
Answer:
A = 13
Step-by-step explanation:
To find the area of a triangle, multiply the base by the height, and then divide by 2.
13 x 2 = 26
26 / 2 = 13