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2 years ago

Which of the following equations below is a linear inequality?

Mathematics

1 answer:

Ket [755]2 years ago

4 0

Answer:

Step-by-step explanation:

A linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <, >, ≤, ≥.

Consider all options:

A. The inequality $\dfrac{y}{x}>3\cdot x+2$ is not linear linear inequality, because x is in the left part denominator and in the right part numerator.

B. This option shows linear equation, not inequality.

C. This option shows quadratic equation, not linear inequality.

D. This option shows linear inequality $y\le 5x-5$

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Solve for y 3x+2.75y=2(.625y+5)

chubhunter [2.5K]

$3x+2.75y=2(0.625y+5)\\\\3x+2.75y=2(0.625y)+9(5)\\\\3x+2.75y=1.25y+45\ \ \ \ |-3x\\\\2.75y=1.25y+45-3x\ \ \ \ |-1.25y\\\\1.5y=45-3x\ \ \ \ \ |:1.5\\\\y=30-2x$

6 0

3 years ago

Michael bought six books that cost d dollars each.Write an equation that can be used to show the total cost (c)of the books?How

yulyashka [42]

Step-by-step explanation:

Equation is 6d (6 • d)

Actual Question:

c = 6d

Let d = 7.89

c= 6 (7.89)

c = 47.34

Michael would have spent a total of $47.34.

8 0

3 years ago

Read 2 more answers

Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tahk. Wh

kvasek [131]

Answer:

2002 pounds

Explanation:

To know the weight of the plane, we need to find an equation that relates the amount of fuel to the weight.

This equation can be founded using the following

$y-y_1=m(x-x_1)$

Where m is the slope, x1 is the number of gallons and y1 is the respective weight. So, replacing m = 6.0, x1 = 51 gallons and y1 = 2206 pounds, we get:

$y-2206=6(x-51)$

Now, we can solve for y

$\begin{gathered} y-2206=6(x)-6(51) \\ y-2206=6x-306 \\ y=6x-306+2206 \\ y=6x+1900 \end{gathered}$

Then, we can calculate the weight of an airplane with 17 gallons of fuel replacing x = 17 on the equation above

y = 6x + 1900

y = 6(17) + 1900

y = 102 + 1900

y = 2002

Therefore, the answer is 2002 pounds

5 0

1 year ago

3x+5=12-7x solve? Help

horsena [70]

Answer:

3x + 5 = 12 - 7x

⇒ 3x = 12 - 5 - 7x

⇒ 3x = 7 - 7x

⇒ 3x + 7x = 7

⇒ 10x = 7

⇒ x= 7 ÷ 10

⇒ x = 0.7

8 0

2 years ago

How much interest is earned on $2,700 in one year if it is invested at 3%?

tester [92]

On this part, you can use the formula for compound interest:

F = P(1+i)^n
F = future worth of $
P = present worth of $
i=interest
n=years

F = 2700(1+0.03)^1
F = 2781

So interest = 2781-2700 = $81

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago

Read 2 more answers