Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt
Step-by-step explanation: Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.
From the graph, we can write
Condition A :
Condition B :
Now, if she buys 4 gallons of milk, the the conditions become
Here, there will be no solution to these constraints.
Therefore, she does not have enough money left to buy any yogurt.
Thus, the correct option is (D).
The sum of the inner angles of any triangle is always 180°, i.e. you have
In the particular case of an equilater triangle, all three angles are the same, so
and the expression becomes
which implies 
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)
Answer:
4(4x1-16)
Hope this helps
Have a good day :)
PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64
Step-by-step explanation:
Answer:
The correct answer is C
Step-by-step explanation:
In order to find the y-intercept, you need to first solve the inequality for y.
5x - 3y ≤ 15
-3y ≤ -5x + 15
y ≥ 5/3x - 5
Now we look at the constant at the end. Since that constant is -5, we know C to be the answer.
Answer:
The answer to your question is: (x + 2)(3x - 1) = 0
x1 = -2
x2 = 1/3
Step-by-step explanation:
3x² + 5x − 2 = 0
Multiply 3 x -2 = -6
Find two numbers that added = +5 and multiply -6
These numbers are +6 and -1
Then:
3x² + 6x -1x − 2 = 0
Factorize 3x (x + 2) - 1(x + 2) = 0
Factorize again (x + 2)(3x - 1) = 0
Finally
x + 2 = 0 3x - 1 = 0
x = -2 x = 1/3
