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3 years ago

Decide whether the relation is a function?

Mathematics

1 answer:

Nana76 [90]3 years ago

3 0

Answer:

A property of a function is that it gives one output for an input

if a function gives one output for an input, it is a function and otherwise it is not a function otherwise

here, we can see that we have 2 outputs for the input '6'. therefore, it is NOT a function

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285

Mkey [24]

Answer:

$Highway = 155\ miles$

$City = 130\ miles$

Step-by-step explanation:

Given

$Highway = 31mi/gallon$

$City = 26mi/gallon$

$Total\ Miles = 285$

$Total\ Gallons = 10$

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

$c + h = 10$ ---- gallons used

and

$31h + 26c = 285$ --- distance travelled

In the first equation, make c the subject

$c = 10 - h$

Substitute 10 - h for c in the second equation

$31h + 26c = 285$

$31h + 26(10 - h) = 285$

Open bracket

$31h + 260 - 26h = 285$

Collect like terms

$31h - 26h = 285 - 260$

$5h = 25$

Make h the subject

$h = \frac{25}{5}$

$h = 5$

Substitute 5 for h in $c = 10 - h$

$c = 10 - 5$

$c = 5$

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

$Highway = 31 * 5$

$Highway = 155\ miles$

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

$City = 26 * 5$

$City = 130\ miles$

8 0

3 years ago

Find the missing side of the right triangle

vlada-n [284]

Answer:

$a {}^{2} + b {}^{2} = c {}^{2} \\ b {}^{2} = \sqrt{c {}^{2} - a {}^{2} } \\ b = \sqrt{14 {}^{2} - 3 {}^{2} } \\ b = \sqrt{196 - 9} \\ b = \sqrt{187} \\ b = 13.7$

I hope this help

6 0

3 years ago

PLEASE HELP ME!!!!!

iVinArrow [24]

Answer:

3.92%

Step-by-step explanation:

4 0

3 years ago

Senpai help me what is 657×678

labwork [276]

Answer:

The answer is 445,446

Step-by-step explanation:

have a great day everyone :)

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3 years ago

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What’s the work and answer? Please someone tell me

olga_2 [115]

I dont think i read i fresh h

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3 years ago

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