Answer:
B
Step-by-step explanation:
To evaluate (f ￮ g)(- 4), first evaluate g(- 4) then substitute this value into f(x)
g(- 4) = 3(- 4) - 5 = - 12 - 5 = - 17, then
f(- 17) = 4(- 17) + 7 = - 68 + 7 = - 61 → B
Answer:
6 3/4 (six and three fourths)
Step-by-step explanation:
First, we must turn 4 6/7 into an improper fraction, AKA 28/7. Now, you can't subtract 1/4 from 28/7, can you? So what you need to do is find the greatest common factor of 4 and 7. The GCF would be 28 (7 x 4 = 28, 4 x 7 = 28).
Now we know that the GCF is 28, we can turn the numbers into 28/28 and 1/28. But wait! We aren't done yet. Now we have to change the numerators. Since you multiplied the denominator (7) by 4 to get 28, you must now multiply 28 by 4 as well. (If you do something to the bottom, you have to do it to the top!) Because of this, we are now at 196/28.
Next, we must do the numerator of 1/28. Since we multiplied the denominator (4) by 7 to get 28, we must now multiply 1 by 7. This gets you to 7/28.
It's finally time to subtract. 196 - 7 is 184, so we are at 184/28. But hey, that's an improper fraction! You have to simplify. 184 divided by 28 is 6.75. 0.75 is 3/4 when turned into a fraction.
Mash 6 and 3/4 together, and you've got your answer! 6 3/4.
To find the answer you must know what 3x - 2y=
Answer: 37 1/3
Step-by-step explanation:
14/1÷3/8=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
14/1 × 8/3=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
14×8/1×3 = 112/3
This fraction cannot be reduced.
The fraction
112/3
is the same as
112÷3
Convert to a mixed number using
long division so
112/3=37 1/3
Therefore:
14/1 ÷ 3/8=37 1/3
