Answer:
-243
Step-by-step explanation:
Answer:
Multiplier = 1.75x (7/4).
7/8 cups butter, 4 and 3/8 ounces chocolate, 1 and 3/4 cups sugar, 7/8 teaspoons vanilla, 3 and 1/2 eggs (4 if rounded!), 1 and 5/16 cups flour.
Step-by-step explanation:
The ingredient list is for 16 brownies, but you need to make 28. This means you have to make 1.75x the amount (28/16), so all ingredient quantities need to be multiplied by 7/4 (1.75 in fraction form).
Butter: 1/2 * 7/4 = 7/8 cups
Chocolate: 5/2 * 7/4 = 4 and 3/8 ounces
Sugar: 1 * 7/4 = 1 and 3/4 cups
Vanilla: 1/2 * 7/4 = 7/8 teaspoons
Eggs: 2 * 7/4 = 3 and 1/2 eggs (if rounded, 4, as 3.5 rounds up)
Flour: 3/4 * 7/4 = 1 and 5/16 cups
Answer:
84
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
