Answer: B (the lower one)
Step-by-step explanation:
First let's solve for y.
x + 2y = 4
2y = -x + 4
y = -1/2x + 2
It is B since the y intercept for that graph is 2.
Answer:
0 and 1
Step-by-step explanation:
If a polynomial P(x) is divided by (x + h), then by the Remainder theorem
The remainder is the value of P(- h)
(1)
For P(x) divided by (x - 1) , then the remainder is P(1) = 0
(2)
For P(x) divided by (x + 2) then the remainder is P(- 2) = 1
put the equation 2x - y = 16 in the form of y = mx + c
2x - y = 16
2x = 16 + y
y = 2x - 16
the slope of this line is 2. the slope of a line perpendicular to it would be the negative reciprocal of 2. in other words, it would multiply with 2 to give -1.
you can form this equation with that info
2x = -1
x = -1/2
OR
you can flip and change the sign (numerator) of 2/1
2/1
= -1/2
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).