The correct question is
<span>Teresa graphs the following 3 equations: y=2x, y=x2+2, and y=2x2. She says that the graph of y=2x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?
we have that
y=2x
y=x</span>²+2
y=2x²
using a graph tool
see the attached figure
<span>We can affirm the following
</span>the three graphs present the same domain-----> the interval (-∞,∞)
The range of the graph y=2x is the interval (-∞,∞)
The range of the graphs y=x²+2 and y=2x² is the interval [0,∞)
therefore
<span>Teresa is not correct because the graph of y = 2x will not surpass the other two graphs since in the interval of [0, infinite) the three graphs present the same range</span>
The answer is 6 because 21+9=30 and 30-6=24 and 24 is the number of students in the class.
From the graph we can see that in the interval [0,1] the value of y is less than 1.
In the interval [1,2] the value of y value is 2 to 4.
In the interval [2,infinity) the graph is going up, and the value of y is greater than or equal to 4.
Therefore, the graph going up after y=4 above the line.
Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.
Answer:
I think the answer is 22% but I am not sure
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 50 is 100% since it is our output value.
Step 2: We next represent the value we seek with X
Step 3: From step 1, it follows that 100%=50
Step 4: In the same vein, x%=11.
Step 5: This gives us a pair of simple equations:
100%=50(1).
X%=11(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit; we have
100% / X% = 11 / 50
X = 22%
Step 7: Taking the inverse (or reciprocal) of both sides yields
X% / 100% = 11 / 50
Therefore, 11 is 22% of 50.
Answer:
x = 3.4
y = 1.4
Step-by-step explanation:
2x + 3y = 11
2y = 13 – 3x, then y = (13 - 3x)/2
substitute for y:
2x + 3((13 - 3x)/2) = 11
reduce:
2x + (39 - 9x)/2 = 11
reduce:
2x + 19.5 - 4.5x = 11
subtract 19.5 from both sides of the equation and combine for x:
-2.5x = -8.5
divide both sides by -2.5:
x = 3.4
y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4