Answer:
Step-by-step explanation:
Prime factorization requires dividing by primes starting with smallest prime number
402/2=201
201/3=67, 67 is prime so we cannot go further so the prime factorization of 402 is
2X3X67
Answer:
y = 3 (4)^x
Step-by-step explanation:
quadruples means multiplies by 4
This equation is in the form
y = ab^x where a is the initial amount and b is the amount we multiply by
y = 3 (4)^x
Answer:

Step-by-step explanation:
Slope intercept formula is y=mx+b
(m) is slope
(b) is the y intercept
We'll find slope first.
slope formula is

y2 and x2 are the y and x values of the second equation and y1 and x2 are the y and x values of the first equation.
So we just put the given values into our equation.

Simplify

Now we put this into our y=mx+b
y=0/-3x+b
now we need the (b)
to do this we take the values of one of the coordinates (doesn't matter which) and replace the (y) and (x) in our equation with them.


Solve
1=0+b
b=1
Put this in our formula

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
Step-by-step explanation:
Total fabric needed by Sam = 2.75
According to directions on a sewing pattern they say to buy an extra 12.5%
So, extra fabric would be: 12.5% of 2.75
Solving

Now adding 0.343 into 2.75 to get extra fabric quantity:
2.75+0.343
=3.09
Therefore Sam should have bought 3.09 yards of fabric instead of 2.4 yards
So, Option D is correct.
1) D
2) D
3) C
Hope it helps!! :)