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3 years ago

What are prime and composite numbers

Mathematics

1 answer:

alexgriva [62]3 years ago

8 0

Answer:

A prime number is a number ( greater than 1) and it cannot be found/formed by multiplying two smaller numbers.

A composite number is a positive number/integer that can be found/formed by multiplying two smaller numbers/integers.

Hope this helps! Have a great day/night! :)

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The largest living thing on earth is a California sequoia tree named the “General Sherman”. The diameter of the tree at the base

natima [27]

36x2 gives us the answer which is 54 feet

8 0

3 years ago

Read 2 more answers

If f(x) and f^-4(x) are inverse functions of each other and f(x) = 2x+5, what is f^-1(x)?

miss Akunina [59]

For this case we must find the inverse of the following function:

$f (x) = 2x + 5$

Then, we follow the steps:

We change $f (x)$ by y:

$y = 2x + 5$

We exchange the variables:

$x = 2y + 5$

We clear the variable "y":

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

We change y for $f^{-1}(x):$

$f^{-1}(x) = \frac {x-5} {2}$

Answer:

$f^{-1}(x) = \frac {x-5} {2}$

4 0

3 years ago

I’m confused?????????

QveST [7]

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

The point-slope form of a line is y - y1 = m(x - x1), where

(x1, y1) is a point on the line

From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

∵ m = $\frac{-2-3}{0-2}=\frac{-5}{-2}=2.5$

∴ m = 2.5

→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

∵ y - 3 = 2.5(x - 2)

∴ The equation of the line is y - 3 = 2.5(x - 2)

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=4x%20%2B%203y%20%3D%200%20%5C%5C5y%20%2B%2053%20%3D%2011x%20%5C%5C%20" id="TexFormula1" title=

Anvisha [2.4K]

Answer:

x = 3, y = -4

Step-by-step explanation by substitution:

Solve the following system:

{4 x + 3 y = 0 | (equation 1)

5 y + 53 = 11 x | (equation 2)

Express the system in standard form:

{4 x + 3 y = 0 | (equation 1)

-(11 x) + 5 y = -53 | (equation 2)

Swap equation 1 with equation 2:

{-(11 x) + 5 y = -53 | (equation 1)

4 x + 3 y = 0 | (equation 2)

Add 4/11 × (equation 1) to equation 2:

{-(11 x) + 5 y = -53 | (equation 1)

0 x+(53 y)/11 = -212/11 | (equation 2)

Multiply equation 2 by 11/53:

{-(11 x) + 5 y = -53 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(11 x)+0 y = -33 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by -11:

{x+0 y = 3 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 3 , y = -4

_____________________________________

Solve the following system:

{4 x + 3 y = 0

5 y + 53 = 11 x

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{4 x + 3 y = 0

5 y + 53 = 11 x

Hint: | Isolate terms with x to the left hand side.

Subtract 3 y from both sides:

{4 x = -3 y

5 y + 53 = 11 x

Hint: | Solve for x.

Divide both sides by 4:

{x = -(3 y)/4

5 y + 53 = 11 x

Hint: | Perform a substitution.

Substitute x = -(3 y)/4 into the second equation:

{x = -(3 y)/4

5 y + 53 = -(33 y)/4

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = -(3 y)/4

5 y + 53 = -(33 y)/4

Hint: | Isolate y to the left hand side.

Subtract 53 - (33 y)/4 from both sides:

{x = -(3 y)/4

(53 y)/4 = -53

Hint: | Solve for y.

Multiply both sides by 4/53:

{x = -(3 y)/4

y = -4

Hint: | Perform a back substitution.

Substitute y = -4 into the first equation:

Answer: {x = 3 , y = -4

7 0

2 years ago

Write an equation that passes through a pair of points

Phoenix [80]

Answer:

C. $y = -x + 2$

Step-by-step explanation:

First, find the slope, m, of the line that passes through the two given points.

Slope = $\frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1$

Next, determine the y-intercept, b.

The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.

Now, to get an equation of the line, substitute m = -1, and b = 2 in $y = mx + b$ .

✅The equation would be:

$y = -1x + 2$

$y = -x + 2$

3 0

2 years ago