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lozanna [386]
3 years ago
5

For the function f(x)=2x+4 and g(x)=3x+1 find g(f(5)

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer: g(f(5)) = 43


See picture enclosed.




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Flying against the wind, a jet travels 2160 miles in 3 hours. Flying with the wind, same jet travels 6000 miles in 6 hours. What
marissa [1.9K]

Answer:

The velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

Step-by-step explanation:

Let x be the rate of the jet in still air and y be the rate of the wind.

Given:

Velocity against wind, a jet travels 2160 miles in 3 hours.

Velocity against wind =\frac{2160}{3} = 720 miles/hour

Flying with the wind, same jet travels 6000 miles in 6 hours.

Flying with the wind =\frac{6000}{6} = 1000 miles/hour

As such its velocity against wind is  x-y

and with wind is   x+y therefore

x-y=720------------(1)

x+y=1000---------------(2)

Adding equation 1 and 2.

2x=1720

x=\frac{1720}{2}

x=860

Put x value in equation 2

860+y=1000

y=1000-860

y=140

Hence velocity of jet in still air is  860miles/hour and velocity of wind is   140miles/hour.

8 0
3 years ago
A scientist is determining how fast a weed grows. Every two days the scientist measures the height of the weed. How tall will th
HACTEHA [7]

Answer:

d.

Step-by-step explanation:

8 0
3 years ago
Which best describes the meaning of the statement if A then B
Oliga [24]

Answer:

a => b   \equiv   ( \neg a   \ \lor   \ b )

Step-by-step explanation:

You can understand the statement from many perspectives, but in terms of proposition logic it is best to understand it as   "negation of a" or "  b" in mathematical terms is written like this

a => b   \equiv   ( \neg a   \ \lor   \ b )

You can show that they are logically equivalent because they have the same truth table.

 

3 0
3 years ago
A dolphin can swim up to 40 miles per hour.what is the speed in feet per hour?
zalisa [80]
In this question, the speed of the dolphin is already given, but the unit is different. The speed of the dolphin is given as 40 miles per hour and it has to be converted to feet per hour.
We already know that 1 mile = 5280 feet
Then
40 mile = 5280 * 40 feet
            = 211200 feet
So the speed in feet per hour will be 211200 feet per hour. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems without requiring any help from outside.
5 0
3 years ago
The total cost for tuition plus room and board at State University is $2,584.00. Tuition costs $100 more than twice room and boa
liq [111]

Answer:

$1756

Step-by-step explanation:

1.  More = Addition

2. Twice = Multiplication by 2

3. Tuition costs $100 more than twice room and board

   Tuition = 2x + 100

   $2584 = (2x + 100) + x

   $2584 = 3x + 100

4. Subtract 100 on both sides: $2484 = 3x

5. Divide both sides by 3: $828 = x

6. Plug it in to the tuition equation: Tuition = 2(828) + 100

                                                                       = $1756

Check Work: (828*2) + 100 = $1756

                      $1756 + 828  = $2584

7 0
2 years ago
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