Answer:
3 cups
Step-by-step explanation:
1 cup is 8 ounces
"Goes downwards from left to right" is basically saying that the slope of this line is negative. We go downhill from left to right.
y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out
Similarly choice B is eliminated as well because the slope is also m = 2
Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)
The only choice with a negative slope is choice D. The slope is m = -2
This is why the answer is choice D
Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept
Answer:
x = -5.83, -0.17
Step-by-step explanation:
Quadratic Formula: 
Since we are given <em>a</em> = 1, <em>b </em>= 6, and <em>c</em> = 1 from our quadratic, we use the Quadratic Formula:
Step 1: Plug in variables

Step 2: Solve


Step 3: Evaluate to decimals
When you do so, you should get x = -5.82843 and -0.171573
Answer:
x ∈ (- 9/2; 1/2), it can also be written as -9/2 <x< 1/2
Step-by-step explanation:
We have absolute value, so we will have2 inequalities.
2x + 4 < 5 and -(2x +4)< 5
2x < 1 -2x - 4 < 5
x < 1/2 -2x < 9
or x > -9/2
(-∞; 1/2) or (- 9/2; ∞)
(-∞; 1/2) ∩ (- 9/2; ∞) = (- 9/2; 1/2)
The answer is x ∈ (- 9/2; 1/2), it can also be written as -9/2 <x< 1/2.
Concept: Solution of the given attachment is based on the addition of two vectors as given below.
Consider two vectors P and Q, then resultant of these two vectors is given as,
R = P + Q
To find the addition of G & H vectors. That is G + H =?
In the given figure;
Vector A = - Vector G because both are in opposite directions -----(i)
From the figure,
A + H = F --------------- using the given concept ---------(ii)
Now, shall replace the value of A from equation (i) in equation(ii)
- G + H = F
or, G + (- H) = - F
Since the vector addition of G & H is not equal to F.
Hence, the given statement G + H = F is False.