Answer:
F(x) = x+7
g(x) = 1/(x-13)
fog(x) = [1/(x-13)] + 7
The denominator of the fraction cannot be equal to zero.
So, the domain of fog(x) is x∈R~{13}
Step-by-step explanation:
Answer:
A = 78.5 cm²
Step-by-step explanation:
the area (A) of the circle is calculated as
A = πr² ( r is the radius )
here diameter = 10 cm , then r = 10 cm ÷ 2 = 5 cm , so
A = π × 5² = 25π ≈ 78.5 cm² ( to the nearest tenth )
Answer: 1 4/5 / 2/7 = 63/
10
= 6 3/10
= 6.3
Step-by-step explanation:
Conversion a mixed number 1 4/
5
to a improper fraction: 1 4/5 = 1 4/
5
= 1 · 5 + 4/
5
= 5 + 4/
5
= 9/
5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/
5
= 5/
5
b) Add the answer from previous step 5 to the numerator 4. New numerator is 5 + 4 = 9
c) Write a previous answer (new numerator 9) over the denominator 5.
One and four fifths is nine fifths
Divide: 9/
5
: 2/
7
= 9/
5
· 7/
2
= 9 · 7/
5 · 2
= 63/
10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/
7
is 7/
2
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - nine fifths divided by two sevenths = sixty-three tenths.
Answer:
35 minutes
Step-by-step explanation:
Beth left for the airport 105 before her flight was scheduled to leave, and she arrived at the airport 70 minutes before her flight was scheduled to leave.
The difference between when she left and when she arrived will be how long her drive was.
Subtract how many minutes early she was before when she arrived, from how many minutes early she was when she left.
left-arrived
She left with 105 minutes to spare, and 70 minutes left when she arrived.
105-70
35
The drive to the airport took 35 minutes
Answer:
10.15
Step-by-step explanation:
3.97÷56=.07
.07*145=10.15