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2 years ago

Write and solve the inequality three times a number plus five is less than three-fourths of the number. Please help!

1 answer:

5 0

3(n+5) < 3/4(n)

The three is multiplied by n+5. Whenever you see "is equal to/greater/less than," that is where you put your =, >, or < signs. Your variable, "n" represents the number. So three-fourths of the number is the same as multiplying the number by three-fourths.

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Consider that x=5 and y=7. Is the sum of x + y rational, irrational, or neither irrational nor rational!

nasty-shy [4]

The sum of y+x, or 5+7, is rational. This is because each integer(non fraction/decimal)is rational, it is also rational.

5 0

3 years ago

Please help me 33/2 + 3y/5 = 7y/10 + 15

8090 [49]

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

${:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}$

Take LCM on both sides :

${:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}$

Multiplying both sides by 10 ;

${:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}$

${:\implies \quad \sf 165+6y=7y+150}$

Can be further written as ;

${:\implies \quad \sf 7y+150=165+6y}$

Transposing 6y to LHS and 150 to RHS

${:\implies \quad \sf 7y-6y=165-150}$

${:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}$

8 0

2 years ago

Which function is linear?

Brut [27]

Answer:

f(x)=13x[+4. that one is the Correct answer. I hope it help.

5 0

2 years ago

Select the correct answer. Which of the following sets of ordered pairs represents a function?

iogann1982 [59]

Answer: {(-8, -14), (-7,-12), (-6,-10), (-5,-8)}

Step-by-step explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relations show here, notice that the first set

of ordered pairs is the only set where each x-coordinate

appears once with a different y-coordinate.

In the other ordered pairs, there is an x-coordinate that appears more

than once and it corresponds to a different y-coordinate.

For example, in the second relation,

the x-coordinate -9 appears twice.

In one case, -9 corresponds to -12 and

in the other case, it corresponds to -8.

So, this is not a function.

3 0

3 years ago

Which pair of expressions represents inverse functions?

faust18 [17]

In this question , we have to find, which option represents inverse functions.

Let's check out option b

Let it be y

So we have

$y = \frac{x+3}{4x-2}$

Switching x and y and solving for y,

$x = \frac{y+3}{4y-2}$

Performing cross multiplication

$4xy -2x = y+3$

Combining like terms

$y(4x-1) = 3+2x$

$y = \frac{2x+3}{4x-1}
\\
f^{-1} (x) = \frac{2x+3}{4x-1}$

Which is same as of the other function.

So correct option is b .

6 0

3 years ago

Read 2 more answers