Delia's relative long jump length was recorded as 0. What does this mean?

A recreation center ordered a total of 15 try schools and bicycles from a sporting good store. The number of wheels for all tric

Juli2301 [7.4K]

Answer: The linear system of equations that models this scenario are

T + B = 15

3T + 2B = 38

Step-by-step explanation:

Let T represent the number of tricycles.

Let B represents the number of bicycles ordered.

The recreation center ordered a total of 15 tricycles and bicycles from a sporting good store. It is expressed as

T + B = 15

A tricycle has three wheels. A bicycle has 2 wheels. The number of wheels for all tricycles and bicycles total 38. The expression would be

3T + 2B = 38

6 0

3 years ago

If f={ (1,2),(3,5),(4,1)} and g= { (2,3), (5,1),(1,3)} , then (gof)=?

guapka [62]

<h3>Answer: Choice (b)</h3><h3>{ (1, 3), (3, 1), (4, 3) }</h3>

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Work Shown:

The notation "g o f" means g(f(x)). We have f(x) as the inner function that is computed first.

f(x) = { (1,2), (3,5), (4,1) }

The x coordinates of each point are: 1, 3, 4

The y coordinates are: 2, 5, 1

So the input x = 1 goes to y = 2 as the output. That output becomes the input of the g(x) function. Using x = 2 as the input for g, we see that 3 is the output. Check out the diagram below to see how each input goes into f, then goes into g to ultimately determine the x,y pairs. So far we've shown that x = 1 ultimately leads to y = 3.

Let's do another input: if x = 3 is plugged into f(x), then the output is 5 because of the point (3,5). Then x = 5 is plugged into g(x) to get x = 5 lead to y = 1. Ultimately x = 3 leads to y = 1 giving us (3,1) as another point.

Lastly, if x = 4 is plugged into f we get y = 1 as an output, which in turn is plugged into g to get 3 as the final output. The point (4,3) is the last ordered pair.

Again there's a lot to keep track of, so it helps to have a diagram as shown below.

4 0

3 years ago

Read 2 more answers

How do you use unit rates to help you solve a word problem

OleMash [197]

Answer:

You could find the unit rate by dividing the first term of the ratio by the second term.

4 0

3 years ago

Find the slope of the line whose equation is 5y = x - 3.<br> a)-3<br> b)-3/5<br> c)1/5<br> d)5

Wewaii [24]

Y=mx+b
m=slope
solve for y

5y=x-3
divide both sides by 5
y=(1/5)x-(3/5)
slope=1/5

C is answer

3 0

3 years ago

Read 2 more answers

List the steps that should be used to solve the equation f(x) = g(x) by graphing when f(x) = (1/2)² - 3 and g(x) = 3x + 5?

jolli1 [7]

value of x is: $x=\frac{-31}{12}$

Step-by-step explanation:

We need to solve the equation f(x)=g(x)

where $f(x)=(\frac{1}{2})^2-3$

and $g(x) = 3x + 5$

Solving to find f(x)=g(x)

Putting values of f(x) and g(x)

$f(x)=g(x)\\(\frac{1}{2})^2-3=3x + 5\\\frac{1}{4}-3=3x + 5\\Subtarct\,\,5\,\,on\,\,both\,\,sides:\\\frac{1}{4}-3-5=3x + 5-5\\\frac{1}{4}-8=3x\\Taking\,\,LCm\,\,on\,\,left\,\,side\\\frac{1-8*4}{4}=3x\\\frac{-31}{4}=3x\\Divide\,\,both\,\,sides\,\,by\,\,3\\x=\frac{-31}{4*3}\\x=\frac{-31}{12}$

So, value of x is: $x=\frac{-31}{12}$

The graph will be a straight line x= -2.58 or x = -31/12

Keywords: Composition of Functions

Learn more about Composition of Functions at:

#learnwithBrainly

7 0

4 years ago