Answer:
B.) f(x) = 3(4)x − 1
Step-by-step explanation:
A) f(x) = 12(4)x
B.) f(x) = 3(4)x − 1
C.) f(x) = 4(12)x
D.) f(x) = 4(3)x − 1
Given:
f(x+1) = 4f(x)
f(2)=12
f(2) = 12
f(3) = 4f(2) = 4 * 12 = 48
f(3)=48 and f(2)=12
From f(3)=48 and f(2)=12
r=48/12
=4
r=common ratio
Recall,
f(2)=12=ar
r=4
f(2)=ar=12
a*4=12
a=12/4
a=3
an=ar^(n-1)
For x term
an=3*4(x-1)
B.) f(x) = 3(4)x − 1
The cups of popcorn that the boys eat in all is 5 1/4 cups.
<h3>How to illustrate the information?</h3>
From the information, Toby, Tyler, and Tim got hungry and decided to share a bag of popcorn and each boy ate 1 3/4 cups of popcorn.
It should be noted that the total popcorn and hat was eaten will be:
= Fraction eaten by each person × Number of people
= 1 3/4 × 3
= 7/4 × 3
= 21/4
= 5 1/4
This illustrates the concept of multiplication of fractions.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
Answer:
3. undefined (vertical line)
4. 1
7. -4
8. 3
11. undefined (vertical line)
12. -1/3
Step-by-step explanation:
You can use the slope formula to calculate the slope which is (y2-y1)/(x2-x1)
3. (-4 - (-2)) / (6-6) denominator is 0 here so the slope is undefined (vertical line)
4. (7 - 1) / (-2 - (-4)) = 6 / 6 = 1
7. (1 - (-7)) / (2 - 4) = 8 / -2 = -4
8. (-1 - 5) / (0 -2 ) = -6 / -2 = 3
11. (3 - 0) / (-6 - (-6)) = 3 / 0 = undefined (vertical line
12. (2 - 3) / (-5 - (-2) = 1 / -3 = -1/3
Answer:
15 blue marbles
Step-by-step explanation:
Given that:
A bag contains 6 red marbles.
The Ratio of red to blue marbles is 2:5
Thus, the ratio of red marbles for 6 red marbles in a bag will be = 6/2 = 3
Now; the ratio of blue marbles in a bag containing 6 red marbles = 3 × 5 = 15 blue marbles
OR
Mathematically;
So, we are looking for the same number we can multiply for both the numerator and the denominator that can give us the value of 6 in the above numerator to determine the value of the denominator. If we use 3 since 2× 3 = 6
We have:
So, there are 15 blue marbles in the bag.
To solve this problem you take the price of the object. 65 and add the percent increase to 1 and multiply. so 65 times 1.30. The answer you are looking for is $84.5. I hope I helped.