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max2010maxim [7]
3 years ago
11

A turtle can swim 20 meters in 4 seconds. At this rate, how many meters can the turtle swim in 10 minutes?

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

3,000 meters

Step-by-step explanation:

10*60=600/4=150*20=3000 meters (I highly doubt a turtle can swim three kilometers in 10 min... especially if it's a box turtle).

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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Which of the following ratios has the same ratio value as 4:6?
Strike441 [17]

Answer:

6:9

Step-by-step explanation:

the answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9

8 0
3 years ago
A+c =r-d solve for a.
Ivan

Answer: a =r-d - c

Step-by-step explanation:

a+c =r-d

-c        -c

a =r-d - c

4 0
3 years ago
recycled cds incorporated, offers a choice of 5 used cds for $26, with each additional cd costing $4. write a cost function for
Luda [366]
If $26 represents the cost of  the 5 used CDs, than your formula would be "26+4x" ,x being the amount of extra CDs you purchase.


The number CDs minus 5 is our x value, because the first 5 are the used CDs bundled into the $26 group.

26+4(6-5)
26+4(1)
26+4
30

6 CDs would cost $30
3 0
3 years ago
Line L has equation y = 4x - 7, and line M is parallel to line L and passes through the point (2, 15). Determine the equation of
Artist 52 [7]

Answer:

A: y = 4x + 7

Step-by-step explanation:

Step 1:  Our line is parallel to this line, so it has the same slope, but a different  y-intercept, so set up the equation...

  y = 4x + b      

We are given a  point (x, y) of (2, 15), so plug that in and solve for b.  

 15 = 4(2) + b

    15 = 8 + b      (simplify)

        7 = b      (subtract 8 from both sides to isolate b)

So the equation of our line is  y = 4x + 7

3 0
3 years ago
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