True or false and explain why: An integer cannot be a rational number.

Mathematics

1 answer:

mezya [45]4 years ago

7 0

False!!!!

An integer is a rational number

A rational number is a ratio of integers

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16 3/4 hours in two days plan to work 12 3/4 hour the next two days. How many hours will u total on your time sheet for these 4

sergiy2304 [10]

let's firstly convert the mixed fractions to improper fractions and then add up all four days.

$\bf \stackrel{mixed}{16\frac{3}{4}}\implies \cfrac{16\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{67}{4}}~\hfill \stackrel{mixed}{12\frac{3}{4}}\implies \cfrac{12\cdot 4+3}{4}\implies \cfrac{47}{4} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{all 4 days summed up}}{\cfrac{67}{4}+\cfrac{47}{4}}\implies \cfrac{67+47}{4}\implies \cfrac{114}{4}\implies \cfrac{57}{2}\implies 28\frac{1}{2}$

7 0

3 years ago

For the function f(x)=|4x−2|+10, evaluate f(−3).

Orlov [11]

Answer:

$f(-3)=24$

Step-by-step explanation:

So we have the function:

$f(x)=|4x-2|+10$

To find f(-3), substitute -3 for x:

$f(-3)=|4(-3)-2|+10$

Multiply within the absolute value:

$f(-3)=|-12-2|+10$

Subtract:

$f(-3)=|-14|+10$

The absolute value of -14 is 14. Thus:

$f(-3)=14+10$

Add:

$f(-3)=24$

And we're done!

7 0

3 years ago

2m+3+4m+5 advice and correct solution

Hunter-Best [27]

Hey there!

On this problem, we have to combine like terms. A like term in this sense doesn't have to have the same coefficient, but it has to have the same variable.

Our like terms are 2m and 4m, along with 3 and 5.

When we add 2m and 4m we get 6m, and when we add 5 and 3 we get eight.
Notice how 5 and three are like terms because they're both whole numbers and don't have any variables.

Your solution is 6m + 8.

My advice to you is pay attention to your like terms and don't mix them up. A strategy is to underline like terms in the same color.

Hope this helps!

6 0

3 years ago

Solve: log4(7t + 2) = 2

IRISSAK [1]

Answer:

The required value of t is equal to 2

Step-by-step explanation:

We need to solve the following expression :

$\log_4(7t+2)=2$