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3 years ago

Define composite function.

1 answer:

7 0

Composition of Functions. Function Composition is applying one function to the results of another: The result of f() is sent through g() It is written: (g º f) (x)

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Car 6 truck 10 suv 14 minivan 15 at this rate if 150 vehicles passed Luann how many more mini vans than cars would pass her

inessss [21]

Answer:

number of minivans more than number of car = 30

Step-by-step explanation:

we have the rate of number of vehicles passed in one unit of time

Number of cars = 6

Number of trucks = 10

Number of SUV = 14

and number of minivan = 15

Total vehicle passed in one unit of time = 6+10+14+15 = 45 vehicle per unit time.

we can see the ratio of vehicles with each other can be given as:

6x+10x+14x+15x = 150

Now we can solve for x to get the number of cars and minivans in 145 vehicles.

or 45x = 150

or x = 150÷45 = $\frac{10}{3}$

so, number of cars in 150 vehicles = 6x = 6× $\frac{10}{3}$ = 20 cars

number of minivan in 150 vehicles = 15x = 15× $\frac{10}{3}$ = 50 minivans.

So, number of minivans more than number of car = 50 - 20 = 30

6 0

3 years ago

Distance time speed

OLEGan [10]

Speed = Distance ÷ Time

3 0

3 years ago

A doctor ordered 300 ml of a 10% solution,but the pharmacy only has 5% and 25% solutions. How many millimeters of each solution

NARA [144]

Answer:

We have 5% and 25% solutions and we need 300 ml of 10%.

Setting up 2 equations:

A) x + y = 300

B) .05 x + .25 y = (.10 * 300) Multiplying A) by -.25

A) -.25x -.25y = -75 Then adding this to B) we get

-.20 x = -45

x = 225 ml .05% and we use 75 ml of 25%

Source: https://www.1728.com/mixture.htm

Step-by-step explanation:

8 0

3 years ago

Find the slope of (-3, -8)(-12, -20)

Mamont248 [21]

Answer: $\frac{4}{3}$

Step-by-step explanation:

Let (-3, -8) = (x₂, y₂) and (-12, -20) = (x₁, y₁)

Slope (m) = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{-8-(-20)}{-3-(-12)}$

= $\frac{-8+20}{-3+12}$

= $\frac{12}{9}$

= $\frac{4}{3}$ simplified

6 0

4 years ago

Marge cut 16 pieces of tape for mounting pictures on poster board. each piece of tape was 3/8 inch long how much tape did marge

Savatey [412]

16/1 * 3/8 = 48/8 = 6. 6 inches.

5 0

4 years ago