Predict The cost of a school photo package includes $40 for the photo shoot, plus the
1 answer:
Answer:
1. Linear; 2. C = 2.50x + 40
Step-by-step explanation:
1. Prediction
Yes, it is a linear function, because each additional photo adds the same amount to the cost.
2. Equation
Let C = the cost of the photo package
and x = the number of photos
Then 2.50x = the cost of the photos
And $40 = cost of photo shoot
Then C = 2.50x + 40
The figure below shows that the graph of your equation is a straight line.
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Answer:
Step-by-step explanation:
We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.
Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.
Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.
, where,
r = Radius of cylinder,
h = height of the cylinder.
Upon substituting our given values in volume formula we will get,
Therefore, the volume of earth removed to build the three tunnels is .
Answer:
1. x = 12
2. 3∛4 feet.
Step-by-step explanation:
1. We are given the equation of x as and we have to find the extraneous solution of the equation.
Now, ............. (1)
⇒
Squaring both sides we get,
⇒ x - 3 = 81 - 18x + x²
⇒ x² - 19x + 84 = 0
⇒ x² - 12x - 7x + 84 = 0
⇒ (x - 12)(x - 7) = 0
⇒ x = 12 or 7.
Now, putting x = 12 in the equation (1) we get,
Again, putting x = 7 in the equation (1) we get,
Therefore, x = 12 is an extraneous solution of this equation. (Answer)
2. The volume of a cube with side lengths a ft. is given to be 108 ft³.
So, a³ = 108
⇒ a = 3∛4 feet.
Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)