Answer:
Katie is not cheating. From the question, it sounds like Katie's spinner is 1-12. James has two dice so he has two sets of each number 1-6. This means that Katie can roll two numbers greater than six but James can only roll up to six. Using probability, I think there is a 50% chance that Katie's number will be bigger than James every time she spins. A fairer way would be for them both to play with the same dice or spinner.
Step-by-step explanation:
The graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.
<h3>What is a graph?</h3>
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The curve of the function in the 2 quadrants is increasing when x tends to -∞ and in the quadrant, the curve f(x) is decreasing to -∞ as x tends to ∞.
Thus, the graph of the function shows that function f(x) => ∞ as x = -∞ and f(x) =>-∞ as x = ∞. Option c is correct.
Learn more about graphs here:
brainly.com/question/16608196
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Answer: $36.69
Step-by-step explanation:
Okay, so let's first write the equation:
2.59*10 + 3d = 135.97
Now, let's work on isolating d by first simplifying the equation:
25.9 + 3d = 135.97
25.9 + 3d - 25.9 = 135.97 - 25.9
3d = 110.07
3d/3 = 110.07/3
d = 36.69
Okay, now let's check:
2.59*10 + 3*36.69 = 135.97
25.9 + 110.07 = 135.97
135.97 = 135.97
Okay, so so it costs $36.69 per pair of shoe.
(x , y) = (7, - 1)
2x + 3y = 11 → (1)
3x + 3y = 18 → (2)
subtracting (1) from (2) term by term eliminates the y- term
(3x - 2x) + (3y - 3y) = (18 - 11)
x + 0 = 7 ⇒ x = 7
substitute x = 7 into either of the 2 equations and solve for y
(1) → (2 × 7) + 3y = 11
14 + 3y = 11
subtract 14 from both sides
3y = 11 - 14 = - 3
divide both sides by 3
= - 1
solution is (7 , -1)