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2 years ago

Which of the following is a function and a relation?

Mathematics

1 answer:

IrinaVladis [17]2 years ago

4 0

A I hope this helps

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Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

3 years ago

Simplify the following

irga5000 [103]

$\huge\fbox{Answer ☘}$

$\bold\blue{( - 8z) {}^{2} } \\\bold{ = > 64z {}^{2} }$

hope helpful~

8 0

2 years ago

HELP!!! DUE IN 8 MINS!!

BigorU [14]

Answer:

Step-by-step B. is your answer

explanation:

4 0

3 years ago

HELP ME PLEASE!!! best answer gets brainliest show steps please

solniwko [45]

Answer:

height = 20 cm

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ← r is the radius and h the height

given r = 12 and V = 2880π, then

π × 12²h = 2880π

144πh = 2880π ( divide both sides by 144π )

h = $\frac{2880\pi }{144\pi }$ = 20

7 0

2 years ago

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The average yearly precipitation for Gulfport,

ivanzaharov [21]

5.441 inches every month I’m pretty sure

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3 years ago

Which of the following is a function and a relation?​

Which of the following is a function and a relation?