Answer:
If you write a number as a fraction, that number's reciprocal is a fraction with the numerator and the denominator switched around. For example, the reciprocal of
4
5
is
5
4
. Some general rules to keep in mind:
-If the fraction has a
0
in the numerator, the reciprocal is undefined.
-If the fraction has a
0
in the denominator, the fraction itself is undefined. Thus it can't have a reciprocal.
-Any other fraction has exactly one reciprocal.
Finally, the reciprocal of a reciprocal is the original fraction. This means if you flip a fraction's numerator and denominator, and then flip them back, you get the number you started with.
Step-by-step explanation:
Answer:
80 - 140 = -60
<u>-60</u>
Step-by-step explanation:
We are given the function <span>f(x) = 3^x+1 - 2 and is asked for the asymptote and y-intercept. In this case, we transform the function to
y +2 = 1/3^(x+1)-1
y = 1-2</span>/3^(x+1)-1/(3^(x+1)-1)
let 3^(x+1)-1 = 0
<span>1/3^(x+1) = 0
x = infinity
when x = infinity
y = 0 - 2
y = -2
The y-intercept is the value where x = 0. substituting,
y = 3^(0+1) - 2 = 1 </span>
Answer:
20
Explanation:
To know how many students will be in the country spelling bee, we need to find 5% of 400.
So, we need to multiply 400 by 5 and then divide by 100:
Therefore, there will be 20 students in the country spelling bee.
Answer:
(C)26 units
Step-by-step explanation:
Since point B bisects AC into two equal parts
AB=BC
Since the two right triangles have side BD in common, we can then say that the two triangles are congruent and the length of the hypotenuses (AD and DC) are equal.
If AD=DC
8x-1=6x+9
8x-6x=9+1
2x=10
x=5
Now,
AB=3x-2
=3(5)-2
=13 Units
Since AB=BC
AC=AB+BC
=13+13
AC=26 units
The measure of AC is 26 units.
