A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student.Determine a linear function that models the cost, c, and the number of students, s.
Which statements about the linear function and its graph are correct? Check all that apply.
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Answer:
A,C, and D
Step-by-step explanation:
Did it on Edgenuity
Answer:
A, C, D
Step-by-step explanation:
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Answer:
4
Step-by-step explanation:
2√x, √x + 1, 2√x + 1 sides of triangle
√x= y
2y, y+1, 2y+1
(2y)²+(y+1)²= (2y+1)²
4y²+y²+2y+1= 4y²+4y+1
y²-2y=0
y=0 (discarded as side can't be zero) or y= 2
so √x=2 ⇒ x= 4
Answer:
x= 4
According to the Pythagoras Theoram,
p²+b²= h²
=>x+2√x+1+4x = 4x +4√x +1
=> x = 4x - 4x +4√x- 2√x+ 1- 1
=>x= 2√x
=> x/√x = 2
=> √x = 2
Therefore, x= (√x)² = (2)² = 4
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Answer: y = (4/3)x + 2
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Explanation:
The given equation is y = (-3/4)x - 2. Comparing it to y = mx+b, the slope is m = -3/4
Flip the fraction and the sign to go from -3/4 to 4/3. This is the perpendicular slope. Multiplying the two slopes gets (-3/4)*(4/3) = -1.
Rule: the original slope and perpendicular slope always multiply to -1, assuming neither line is vertical or horizontal.
We'll use the point (x,y) = (3,6) and the perpendicular slope m = 4/3 to find the y intercept b
y = mx+b
6 = (4/3)(3) + b
6 = 4+b
6-4 = b
2 = b
b = 2
The y = mx+b equation becomes y = (4/3)x + 2 which is the slope intercept form of the perpendicular line.
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Extra info:
If you want to convert to standard form Ax+By = C, then you could do the following steps
y = (4/3)x + 2
3y = 4x + 6 ... multiply everything by 3 to clear out the fraction
3y - 4x = 6
-4x + 3y = 6
4x - 3y = -6 ... multiplying both sides by -1; this is to make A > 0
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Answer:
y=x+2
Step-by-step explanation:
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t + 43
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A ray is a defined term because it extends infinitely in one direction from an endpoint. A line is an infinite series of points in a row and it does not occupy any space. They are also called one dimensional since the direction is in one dimension. A point has a location but no specific size. It can describe a location but you can never determine its actual size. Imagine the point at the end of the previous sentence. And then imagine it getting smaller and smaller until it disappears. We can only use a dot to represent the point.