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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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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25

kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

$a^2 = b^2 + c^2 - 2bc[cos(A)]$

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

$a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi$

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0

2 years ago

1 1/3 times 2/3 times 5 1/3

11Alexandr11 [23.1K]

Answer:

40/27

Step-by-step explanation:

convert mixed number into improper fraction

4/3×2/3×5×1/3

calculate the product

40/27

5 0

3 years ago

Read 2 more answers

Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old

olchik [2.2K]

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

5 0

2 years ago

four segments measure 16, 19, 43 and 50 centimeters. what is the probability that a triangle can be formed if three of these seg

neonofarm [45]

OK, a triangle first of all needs to have a certain condition satisfied. The length of one side of a triangle can not equal the length of 2 sides combined. So in a triangle a + b = c, a + b can not be less than c (a + b <span>≮ c</span>). Therefore, there are only a few possibilities that will work here. Let's find them:

16, 19, 43; no

16, 19, 50; no

16, 43, 50; yes

19, 43, 50; yes

Since only 2 out of 4 form triangles, there is a 50% chance you'll pick the right segments to form a triangle.

3 0

3 years ago

QUESTION 5 · 1 POINT

natali 33 [55]

Answer:

( x - 1) ( 2x + 3)

Step-by-step explanation:

It's actually the other way round.

2x^2- + x - 3

( 2x^2 - 2x) + (3x-3)

2x ( x-1 ) + 3( x-1)

( x - 1)(2x+3)

Its the other way around

HOPE IT HELPED

3 0

3 years ago