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3 years ago

If f(x)=1/x and g(x)=x+4 then f(x) is undefined when x=

Mathematics

1 answer:

umka2103 [35]3 years ago

8 0

Answer:

x=0

Step-by-step explanation:

Anything divided by 0 is undefined so in this case 1/0 would be undefined.

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Four horses are pulling a wagon. Each horse drinks 45000 ml of water each day. How many liters of water will the horses drink in

s2008m [1.1K]

45000 x 4 = 180,000

180,000 * 5 = 900,000 ml in 5 days

1 liter = 1000 ml

900,000 / 1000 = 900 liters of water

3 0

3 years ago

A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 45 minutes? In 1 hour?

mina [271]

Answer:

33.75 miles in 45 minutes,

45 miles in an hour

Step-by-step explanation:

45 minutes: 2 1/3= 7/3 ---> 7/3*3=7,

1 3/4= 7/4 ---> 7/4*3=5.25

car travels 5.25 miles for every 7 minutes,

45/7*5.25= 33.75 miles

1 hour (60 minutes):

using that the car travels 5.25 miles for every 7 minutes,

60/7*5.25= 45 miles

Hope that makes sense!

3 0

3 years ago

10x +y =6 written in slope intercept form

hodyreva [135]

Answer:

y = -10x + 6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a

nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

hence the distance is 3.9miles

6 0

3 years ago

The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

Tema [17]

Answer:

2 $\frac{1}{16}$

Step-by-step explanation:

The question state that; the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is 1/6 of n = 1/6 × n = $\frac{n}{6}$

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n = 5/2 × n = $\frac{5n}{2}$

So the question says that, when we add; $\frac{n}{6}$ , $\frac{5n}{2}$ and 7 all together, the value is 12 1/2

That is;

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = 12 1/2

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$ ( changing 12 1/2 to improper fraction will give $\frac{25}{2}$ )

So we can now go ahead and solve for n

$\frac{n}{6}$ + $\frac{5n}{2}$ + 7 = $\frac{25}{2}$

subtract 7 from both-side of the equation

$\frac{n}{6}$ + $\frac{5n}{2}$ = $\frac{25}{2}$ - 7

$\frac{n + 15n}{6}$ = $\frac{25 -14}{2}$

$\frac{16n}{6}$ = $\frac{11}{2}$

$\frac{16n}{6}$ can be reduced to give us $\frac{8n}{3}$

$\frac{8n}{3}$ = $\frac{11}{2}$

Cross multiply

8n × 2 = 11× 3

16n = 33

Divide both-side of the equation by 16

$\frac{16n}{16}$ = $\frac{33}{16}$

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while on the right-hand side of the equation 33 will be divided by 16)

n = $\frac{33}{16}$ = $2\frac{1}{16}$

Therefore the number is $2\frac{1}{16}$

5 0

3 years ago