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3 years ago

Which of the following numbers is irrational? -9/5 , sqrt (5) , 7/3 , sqrt (9)

2 answers:

8 0

Sqrt 5 because it’s an imperfect square. Fractions with integers are always rational and sqrt 9 is perfect so it is also an integer.

Murljashka [212]3 years ago

4 0

Answer:

$\large\boxed { \ ANS = \sqrt{5} }$

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as simple fractions. All the numbers listed above except for $\sqrt{5}$ cannot be written as fractions.

• $\frac{7}{3}$ is already a fraction

• $\frac{-9}{5}$ is also already a fraction

• $\sqrt{9}$ is 3 and 3 can be written as $\frac{3}{1}$

• $\sqrt{5}$ is an irrational algebraic number and cannot be written as a simple fraction since it is equal to

2.23606797749978969640917366873127623544061835961152572427089..which continues on and on.

I hope this helped you understand this topic!

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Simplify 10/16 to the lowest terms and find an equivalent fraction that has a denominator of 32.

Natalija [7]

Answer:

5/8, 20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

6 0

3 years ago

Read 2 more answers

What is the solution to the system of equations y = -x - 5 and y = 2x + 4

Delvig [45]

Answer:

(-3,-2)

Step-by-step explanation:

y = -x - 5

y = 2x + 4

plug in one of the y equations

(2x+4)= -x - 5

2x+4=-x-5

3x=-9

x= -3

plug in x to one of the y equations

y= -(-3) -5

y=3-5

y= -2

x= -3, y= -2

4 0

3 years ago

Add the sum and difference identities for sin x to derive 1/2 [sin(x+y)+sin(x-y)]=sin x cos y

Solnce55 [7]

Answer:

true

Step-by-step explanation:

1/2 (sin(x+y)+sin(x-y))

= 1/2 (sin x cos Y + cos x sin y + sin x cos y - cos x sin y)

= 1/2 * 2 sin x cos y

= sin x cos y

The expression is true.

3 0

3 years ago

A winery has a vat with two pipes leading to it. The inlet pipe can fill the vat in 5 hours, while the outlet pipe can empty it

Rashid [163]

Answer:

$time=40/3hours\approx 13.3hours$

Step-by-step explanation:

The rates are additive: you can calculate the inlet rate and the outlet rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.

1. Inlet rate:

$1vat/5hours$

2. Outlet rate:

$1vat/8hours$

3. Net rate:

$\text{Inlet rate - outlet rate}=1vat/5hours-1vat/8hours\\\\ \text{Net rate}=(8-5)vat/40hour=3vat/40hour=(3/40)vat/hour$

4. Time to fill the vat

$rate=amount/time\implies time=amount/rate\\ \\ time=1vat/(3vat/40hour)$

$time=40/3hours\approx 13.3hours$

7 0

3 years ago

) Evaluating a polynomial limit analytically You should have learned by now the process for finding the derivative of a polynomi

wolverine [178]

Answer:

This code or is program to find a given value of derivative of a polynomial.

Step-by-step explanation:

We know already how to apply or make the procedures mathematically talking so this short program will eventually help you how to find logic.

// libraries

#include <stdio.h>

#include <conio.h>

//use to control floating elements

float poly(float a[], int, float);

//main

int main()

{

// Enter the degree of polynomial equation

float x, a[10], y1;

int deg, i;

printf("Enter the degree of polynomial equation: ");

scanf("%d", &deg);

printf("Ehter the value of x for which the equation is to be evaluated: ");

// Enter the coefficient of x to the power

scanf("%f", &x);

for(i=0; i<=deg; i++)

{

printf("Enter the coefficient of x to the power %d: ",i);

scanf("%f",&a[i]);

}

// The value of polynomial equation for the value of x

y1 = poly(a, deg, x);

printf("The value of polynomial equation for the value of x = %.2f is: %.2f",x,y1);

return 0;

}

/* function for finding the value of polynomial at some value of x */

float poly(float a[], int deg, float x)

{

float p;

int i;

p = a[deg];

for(i=deg;i>=1;i--)

{

p = (a[i-1] + x*p);

}

return p;

}

8 0

3 years ago