Answer:
A the probability that a customer buys a hat or a sweater
Let x be the cost of 1 shirt and y be the cost of 1 scarf.
Since, 3 shirts and 2 scarves cost $94, we have,
3x + 2y = 94
Since the number of unknowns is greater than the number of equations (2 > 1), the above system has infinitely many solutions.
If t is the cost of 1 scarf, then
3x + 2t = 94
3x = 94 - 2t
x = 
For different values for t, we will get different values for x.
Set t = 2.
Then, x = 
= 
= 
= 30
So, if the cost of 1 scarf is $2, then the cost of 1 shirt is $30.
<h3>
Answer: 5</h3>
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Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
Answer:
x² + (y-74)² = 4900
Step-by-step explanation:
Circle equation: (x-h)² + (y-k)² = r²
"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:
- h = 0
- k = 74 (the radius + 4 ft.)
- r = 70
So plugging those into the equation of circles, we get the answer above.
Answer:
3 is to 12, 5 is to 50, 7 is to 14, and 11 is to 22.
Step-by-step explanation:
