1.89 * 10^12 is a number written in scientific notation. To write a number in scientific notation, you write a number that is 1 or greater and less than 10, and then multiply it by 10 raised to an integer.
1.89 is the number from 1 to under 10.
12 is the integer exponent of 10.
The calculator writes 1.89 * 10^12, the number in scientific notation, as 1.89E12.
Again, 1.89 is the number from 1 to under 10, and 12 is the exponent. The E shows that the number after it is the exponent.
To write 1.89 * 10^-12, the calculator would write 1.89E-12.
The E stands for the exponent of 10 in scientific notation.
B) y-intercept (0, 2)
Eliminate
C) x-intercept (-3, 0)
D) x-intercept (-1, 0)
Answer:
B
Step-by-step explanation:
x-intercepts:
factor the function
f(x)=(x+3)(x+1)
zeros at x=-3,-1
x-intercepts --> (-3,0),(-1,0)
y-intercepts:
set x=0 in f(x)
f(0)=(0)^2+4(0)+3=3
y-intercept --> (0,3)
find minimums and maximums
The max or min of a quadratic function occurs at x=-b/(2a). If a is negative, the max value of the function is f(-b/(2a)). if a is positive, the minimum value of the function is f(-b/(2a)).
f(x)=ax^2+bx+c
f(x)=x^2+4x+3
here a is positive so you are looking for a minimum,
x=-b/(2a)
x=-4/(2*1)
x=-2 ----> plug into f(x), f(-2)=(-2)^2+4(-2)+3=-1
Answer:B
Step-by-step explanation:
The easiest way to compare fractions is by having a common denominator for both fractions.
This is because, when the denominator is the same in both fractions, we will simply compare the numerators and the greater fraction will be the one having greater numerator
Part 1:
The first given fraction is
The second given fraction is
We can make the denominator in the second one equal to 12 by multiplying it by 4.
However, to preserve the value of the fraction, we will multiply it by
This will give us:
* =
Now, the two fractions became and
The denominator is the same, so we will compare numerators.
Since 7 is greater than 4, therefore:
is the greater fraction
Part 2:
The first given fraction is
The second given fraction is
We can make the denominator in the second one equal to 12 by multiplying it by 4.
However, to preserve the value of the fraction, we will multiply it by
This will give us:
* =
Now, the two fractions became and
The denominator is the same, so we will compare numerators.
Since 8 is greater than 7, therefore:
is the greater fraction
Hope this helps :)
Answer:
Step-by-step explanation: