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3 years ago

What is a rational and irrational number?

Mathematics

1 answer:

KIM [24]3 years ago

8 0

Answer:

In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1.

In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

Step-by-step explanation:

hope it helps :)))

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What is the equation of the line that passes through (0,-3) and (2, 2)?

tigry1 [53]

Answer:

$y = \frac{5}{2}x -3$

Step-by-step explanation:

Given points (0,-3) (2, 2), we can start by solving for the slope of the line by using the formula:

$m = \frac{y2 - y1}{x2 - x1}$

Let (x1, y1) = (0,-3)

(x2, y2) = (2, 2)

Plug in these values into the slope formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{2 - (-3)}{2 - 0} = \frac{5}{2}$

Therfore, the slope of the line is $\frac{5}{2}$ .

Next, we must determine the y-intercept of the line. By definition, the y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Using the slope (m) = $\frac{5}{2}$ and one of the given points, (2, 2), plug in these values into the slope-intercept form, y = mx + b:

y = mx + b

$y = \frac{5}{2}x + b$

$2 = \frac{5}{2}(2) + b$

2 = 5 + b

Subtract 5 on both sides of the equation to solve for b:

2 - 5 = 5 + b - 5

-3 = b

The y-intercept (b) = -3.

Therefore, the equation of the line that passes through (0,-3) and (2, 2) is:

$y = \frac{5}{2}x -3$ .

4 0

3 years ago

CAN U PLZ HELP THANK YOU

Ulleksa [173]

Answer

second one

Step-by-step explanation:

3 0

3 years ago

The school band has a goal of raising $800 for some new uniforms. If they have raised $512 so far, what percent of their goal ha

just olya [345]

Answer: 64%

Step-by-step explanation:

The band needs $800 for new uniforms and of that, they only raised $512.

Set up a proportion $\frac{part}{total} = \frac{percentage}{100}$ and plug everything you know in.

$\frac{512}{800}$ = $\frac{x}{100}$

Solve for x by cross multiplying and dividing.

512 × 100 = 51200

51200 ÷ 800 = 64

x = 64

The school band has raised 64% of their goal already.

5 0

3 years ago

Read 2 more answers

What must be a factor of the polynomial function f(x) graft on the coordinate plane below

lilavasa [31]

Answer:

The correct answer option is B. (x - 1).

Step-by-step explanation:

We are to determine the factor of the polynomial function $f(x)$ which is graphed on the given coordinate plane.

We know that if the zeros (or intercepts) of an equation are $r _ 1$ and $r _ 2$ then the factors for this equation will be $( x - r _ 1 )$ and $( x - r _ 2 )$ .

From the graph, we can see that it intercepts the x axis at $1$ and $6$ . So the roots will be $(x-1)$ and $(x-6)$ .

Therefore, the correct answer option is B. (x - 1).

8 0

4 years ago

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Find the missing coordinate to complete the ordered-pair solution to the given linear equation: A) y+6x=5 (a) (-1,?)

N76 [4]

A
a) y+6x=5 if x= -1 then y+6(-1)=5 then y = 11
b) same thing if x = 3 then y+6(3)=5 y+18=5 subtract both sides by -18 and leave y on left then add 5+(-18)= 13 then y=13

B same as above
question (a) asks you to solve for y because x is -2
(b) asks you to solve for x because y is known
3x+2y=-6 if y = 3 you write 3x+2(3)=-6 3x+6=-6 move the +6 over to right side by subtracting 6 from both side 3x=-6 + -6 so 3x=-12 to get rid of the 3 and only leave the x you want to divide both side by 3 then x= -12/3 then the answer would be x=-4

4 0

3 years ago

Read 2 more answers