Answer:
$676
Step-by-step explanation:
13*52=676
9514 1404 393
Answer:
- 3n+6 (n = smallest)
- 3n (n = middle)
Step-by-step explanation:
The usual method for doing this is to let n represent the smallest one. Then the three integers are ...
n, n+2, and n+4
and their sum is ...
(n) +(n+2) +(n+4) = 3n+6 . . . . sum of 3 consecutive odd integers (n = smallest)
_____
Personally, for consecutive number problems, I prefer to let the variable represent the average value. If n is the average value of 3 consecutive odd integers, is is the middle integer. Of course, the sum will be 3 times the average:
(n-2) +(n) +(n+2) = 3n . . . . sum of 3 consecutive odd integers (n = middle one)
The total number of outcomes would be 6 ;) Hope this helps!
Answer:
31
Step-by-step explanation:
First type of clay required 3 cups of flour per batch
She made 5 batches
5 * 3 = 15
So she used 15 cups of flour for the first type of clay
Second kind of clay required 4 cups of flour per batches
She made 4 batches
4 * 4 = 16
So she used 16 cups of flour for the second type of clay
we now add the total number of cups of flour used for each type of clay
16 + 15 = 31
She used a total of 31 cups of flour
Insert x + 3 instead of x into the equation of the function f(x):
f(x) = 3 - 6x²
f(x + 3) = 3 - 6(x + 3)²
use (a + b)² = a² + 2ab + b²
= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)
use distributive property
= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54
combine like terms
= -6x² - 36x - 51
<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
