For no real solution, you must have b^2 - 4ac of the quadratic formula be less than 0.
a = 1; b = 2; c = C
b^2 - 4ac < 0
2^2 - 4(1)(C) < 0
4 - 4C < 0
-4C < -4
C > 1
The only choice greater than 1 is 3.
Answer: the 4th choice, 3
Answer: (-6,-5)
Step-by-step explanation:
2x - 2y = -2 ............ equation 1
3x - y = -13 ................ equation 2
solving by substitution method
from equation 2 , make y the subject of the formula, we have
y = 3x + 13 .............. equation 3
substitute equation 3 into equation 1 , we have
2x - 2 (3x + 13 ) = -2
2x - 6x - 26 = -2
-4x - 26 = -2
-4x = -2 +26
-4x = 24
x = 24/-4
x = -6
substitute x = -6 into equation 3 to get the value of y , we have
y = 3(-6) + 13
y = -18 +13
y = -5
Answer:
1 1/8 cup of brown sugar.
Step-by-step explanation:
Here is the correct question: A recipe calls for 3/4 cup brown sugar for each 2/3 cup white sugar. How many cups of brown sugar per cup of white sugar is this?
Given: 3/4 cup of brown sugar for each 2/3 cup of white sugar.
Finding requirement of brown sugar for 1 cup of white sugar.
∴ Each 2/3 cup of white sugar require 3/4 cup of brown sugar.
Now, 1 cup of white sugar require brown sugar = 
= 
Thus, we can say 
= 1 1/8 cup of brown sugar is required per cup of white sugar.
Answer:
21,678 rounded to the nearest ten is 21,680
