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1 year ago

VERBAL 2. Explain how to find the output variable in a word problem that uses a linear function.

Mathematics

1 answer:

Verizon [17]1 year ago

5 0

Answer:

The dependent variables in most cases is output variable. That is a value that depends on some other input value and changes based on that input value.

Step-by-step explanation:

In the question, it is given that a problem uses an output variable.

It is required to explain how to find the output variable in a word problem that uses a linear function.

In order to find the output variable in a world problem, for the dependent variable.

That is a value that depends on some other input value and changes based on that input value.

It cannot change independently. In these types of functions, this value is mostly marked as y or f(x).

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A rocket is launched from the top of a 99-foot cliff with an initial velocity of 122 ft/s.

Harman [31]

Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
$0=-16 t^{2} +122t+99$
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
$-99=-16 t^{2} +122t+99$
$-16 t^{2} +122+198=0$

Now we can apply the quadratic formula $t= \frac{-b+or- \sqrt{ b^{2} -4ac} }{2a}$ where a=-16, b=122, and c=198
$t= \frac{-122+or- \sqrt{ 122^{2}-(4)(-16)(198) } }{(2)(-16)}$
$t= \frac{-122+ \sqrt{27556} }{-32}$ or $t= \frac{-122- \sqrt{27556} }{-32}$
$t= \frac{-122+166}{-32}$ or $t= \frac{-122-166}{-32}$
$t= \frac{-11}{8}$ or $t=9$

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.

5 0

3 years ago

Read 2 more answers

the ages of three siblings are all consecutive integers the sum of their ages is 39 how old is the youngest sibling variable equ

Verdich [7]

Answer:

Step-by-step explanation:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

8 0

2 years ago

Find the area of a parallelogram whose base is 12cm and altitude is 8cm. Also find the other base of its corresponding altitude

lukranit [14]

Answer:

Step-by-step explanation:

Area of parallelogram = base * height

= 12 * 8

= 96 cm²

Area of parallelogram = 96

base * height = 96

base = 96/height

base = 96/16

base = 6 cm

6 0

2 years ago

Read 2 more answers

Is the function g(x)=9<br> x+1 linear or nonlinear?

Licemer1 [7]

It is a linear function

3 0

3 years ago

Please help me and others that will stumble on this problem.

lutik1710 [3]

Answer:

A (0,0)

Step-by-step explanation:

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Option A is correct.

5 0

2 years ago