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3 years ago

Consider f(x) = 1.8x – 10 and g(x) = −4.

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

8 0

Answer:

Part 1) The equation that can be used is 1.8x-10=-4

Part 2) The input or x-value is x=10/3

Step-by-step explanation:

we have

f(x)=1.8x-10

g(x)=-4

To find the solution of the system of equations equate f(x) and g(x)

f(x)=g(x)

substitute

1.8x-10=-4 -----> equation that can be used to find the input value at which f (x ) = g (x )

Solve for x

Adds 10 both sides

1.8x=-4+10

1.8x=6

Divide by 1.8 both sides

x=6/1.8

Remember that

1.8=18/10

substitute

x=6/(18/10)

x=60/18

Simplify

x=10/3

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il63 [147K]

Step-by-step explanation:

13x + 15 = 19x - 9 ( being opposite sides of parallelogram)

19x - 13x = 15 + 9

6x = 24

x = 24 / 6

x = 4

4y + 7° + 10y - 37° = 180° {being co-interior angles }

14y = 180° - 7° + 37°

14y = 210°

y = 210°/ 14

y = 15°

Hope it will help :)

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3 years ago

Laura walks 3/5 mile to school each day Isaiah walks to school is 3 Times as long as Laura how far does Isaiah walk to school ea

AleksAgata [21]

Isaiah walks 1.8 miles to school each day

3/5*3=9/5=1.8

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3 years ago

Hurry I need the answers plz and how u got it

aleksley [76]

There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?

This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as

$\frac{Teachers}{Population}$ and we can use this to express both of our values. So, for Ohio, we have $\frac{122,100}{11,600,000}$ and for Illinois we have $\frac{x}{12,900,900}$ . Now, because they are proportional, we can set them equal to each other and we get $\frac{122,100}{11,600,00} = \frac{x}{12,900,000}$ . Now we can cross multiply to get $11,600,000x=1446090000000$ . To get the $x$ alone on one side, we divide by $11,600,000$ and we get 124,662.931034, which is about equal to 124,663.