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2 years ago

Please solve, will mark brainliest

Mathematics

1 answer:

Ann [662]2 years ago

5 0

Answer:

slope= 1/2

Step-by-step explanation:

remember $\frac{rise}{run}$

therefore 1/2

You might be interested in

How many integers between 100 and 999 (inclusive) have distinct digits

daser333 [38]

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

cur_numbers[2] = i % 10

i = math.floor(i/10)

cur_numbers[1] = i % 10

i = math.floor(i/10)

cur_numbers[0] = i % 10

if(len(set(cur_numbers)) == 3):

num += 1

print(cur_numbers)

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648

5 0

2 years ago

Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

7 0

3 years ago

Estimate 62.853+33.51 by first rounding each number to the nearest whole number

Karolina [17]

63+34=97 thats the answer

6 0

3 years ago

Read 2 more answers

What is the slope of the line passing through the points (−3, 4) and (4, −1)?

Igoryamba

Note:
The slope of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is
$m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The two given points are (-3,4) and (4,-1). Therefore the slope is
$m= \frac{-1-4}{4-(-3)} = \frac{-5}{7}$

Answer: $- \frac{5}{7}$

3 0

3 years ago

The zeros for f(x)=x^4-4x^3-9x^2+36x are

Mrrafil [7]

X^4 - 4x^3 - 9x^2 + 36x = 0
x(x^3 - 4x^2 - 9x + 36) = 0
x(x^2(x - 4) - 9(x - 4) = 0
x(x + 3)(x - 3)(x - 4) = 0

the zeroes are -3, 0, 3, 4 Answer

3 0

3 years ago