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3 years ago

The distance traveled varies directly with the time spent in motion wh

Mathematics

1 answer:

gladu [14]3 years ago

7 0

Step-by-step explanation:

The distance traveled varies directly with the time spent in motion. If d is distance and t is time taken. Then,

$d\propto t$

$d=kt$

k is the constant of variation

If d = 150 miles and t = 4 hours

$k=\dfrac{d}{t}\\\\k=\dfrac{150}{4}\\\\k=37.5\ mph$

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Which of these functions has a domain of all real numbers except x=4.1?

nika2105 [10]

Answer:

$(A)y=\frac{2.5}{x-4.1} + 2.8$

Step-by-step explanation:

In the expressions, the value at which the domain of the function will be the set of all real numbers except x=4.1 is the value at which 4.1 makes the denominator equal to zero, i.e makes the fraction undefined.

Given the options

$(A)y=\frac{2.5}{x-4.1} + 2.8$

Setting the denominator to zero, x-4.1=0, x=4.1. The fraction is undefined at x=4.1

$(B)y=\frac{2.8}{x+4.1} -2.5$

Setting the denominator to zero, x+4.1=0, x=-4.1. The fraction is undefined at x=-4.1

$(C)y=\frac{4.1}{x-2.8} +2.5$

Setting the denominator to zero, x-2.8=0, x=2.8. The fraction is undefined at x=2.8

$(D)y=\frac{4.1}{x-2.5} +2.8$

Setting the denominator to zero, x-2.5=0, x=2.5. The fraction is undefined at x=2.5

Therefore, function that has a domain of all real numbers except x=4.1 is:

$(A)y=\frac{2.5}{x-4.1} + 2.8$

4 0

3 years ago

Without multiplying circle whether each product is greater than, less than, Equal to the whole number

mafiozo [28]

Step-by-step explanation:

4 × (1/7) Less Than
12 × 2(5/6) Greater Than

The Rule: If you are multiplying by a value less than one, your product will decrease. If you are multiplying by 1, the product will be equal and if you are multiplying by a value greater than 1, the product will increase.

5 0

3 years ago

You deposit $3000 in an account that pays 5% annual interest. What is the balance after 2 years?

Murljashka [212]

5 / 100 = .05
3000(1.05)^2

The answer is $3307.50

Hope this helps :)

4 0

4 years ago

Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does h

dybincka [34]

9514 1404 393

Answer:

16 nickels

Step-by-step explanation:

Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...

$1.44/$0.09 = 16 . . . groups

Since there is 1 nickel in each group, Robert has 16 nickels.

8 0

3 years ago

What is (2i)^2.. explain

Advocard [28]

Answer:

-4

Step-by-step explanation:

6 0

3 years ago

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