MATHEMATICS HIGH SCHOOL

What is the graph of the inequality 3x+2y>-5

Answers

Answer 1
Answer:

Answer:

The graph is shown in attachment.

Step-by-step explanation:

we have to draw a graph of the inequality

3x+2y>-5

The following steps are:

Step 1: Rearrange the equation such that "y" is on the left side and rest on the right.

3x+2y>-5

⇒ 2y>-5-3x ⇒ y>(1)/(2)(-5-3x)

Step 2: Plot the  y>(1)/(2)(-5-3x)  line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

. Here, dashed line is drawn.

Step 3: Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

The graph is shown in attachment.
Answer 2
Answer: the graph above is how the inequality looks. I highly recommend you download an app called "desmos" for any questions you have about graphs.

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According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?2x + 1
2x – 1
3x + 5
3x – 5

Answers

Answer:

D. 3x-5

Step-by-step explanation:

We have been given an polynomial f(x)=3x^3-5x^2-12x+20 and we are asked to choose the correct option that represents the factor of our given polynomial according to the rational root theorem.

First of all we will factor our polynomial.

f(x)=x^2(3x-5)-4(3x-5)

f(x)=(x^2-4)(3x-5)

f(x)=(x+2)(x-2)(3x-5)

Therefore, (3x-5) will be a factor of our given polynomial and option D is the correct choice.

Answer:

D.) 3x – 5

Step-by-step explanation:

If F (x) = 5x^3 - 2 and g (x) = x+1, find (f-g) (x)

Answers

(f-g)(x) is in fact f(x) - g(x):

f(x) - g(x)

= 5x³ - 2 - ( x + 1 )

= 5x³ - 2 - x - 1

= 5x³ - x - 3

James has a goal of saving $600 by the end of the month. He already has $150 in his bank account. He makes $25 an hour at his job. Which equation could he use to find x, the number of hours he needs to work to reach his goal.

Answers

Answer:

150+25x = 600

Step-by-step explanation:

Hope this helped!

What is the collection of numbers that includes the natural numbers, together with their negatives and zero?

Answers

we know that
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
so
the answer is
the collection of numbers that includes the natural numbers, together with their negatives and zero are the integers

The function h(x) = 31x2 + 77x + 41 can also be written as which of the following?A. y = 31x2 + 77x + 41

B. h(x) + 41 = 31x2 + 77x

C. y = 31x2 + 77x − 41

D. y + 41 = 31x2 + 77x

Answers

Answer:

I think the answer is A. y= 31x2 + 77x + 41

Step-by-step explanation:

Final answer:

The function h(x) = 31x2 + 77x + 41 can also be written as y = 31x2 + 77x + 41, as y is often used interchangeably with f(x) or h(x) in mathematical functions. The remaining options do not accurately reformulate the original equation.

Explanation:

The function

h(x) = 31x2 + 77x + 41

can also be written as

y = 31x2 + 77x + 41

. This is because in mathematical functions, y is often used interchangeably with f(x) or h(x), representing the output or dependent variable. It's important to note that, the other options do not correctly represent the original equation. In Option B, the constant term is incorrectly added to the function on the left side; in Option C, the constant term is incorrectly subtracted; and in Option D, the constant term is incorrectly added to 'y' on the left side.

Learn more about Mathematical functions here:

brainly.com/question/32108131

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What is 5,339x6 equal to in this case

Answers

32034 

All I had to do was multiply. Is there more to the problem?
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