Can someone help me solve this question I can't seem to manage it

Solve the following system of equations. If there is no solution, write DNE in each coordinate of the

Rainbow [258]

Answer:

1) solution is y = -7

2.) DNE

3.) Solution is y = -2

Step-by-step explanation:

1.) 2+3 = y + 12

Add the LHS and make y the subject of formula

5 = y + 12

Y = 5 - 12

Y = - 7

The solution of the equation is - 7

2.) 2 + 13 = 1 +8

Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.

3.) y - 7 = 2 - 11

Sum the RHS and make y the subject of formula

Y - 7 = -9

Y = -9 + 7

Y = -2

The solution of the equation is -2

6 0

2 years ago

For what values does c have no solutions?

defon

Solve for c :

x⁴ + cx² + 100 = 0

cx² = -(x⁴ + 100)

c = - (x⁴ + 100)/x²

If x = 0, the right side is undefined and c would have no solution.

3 0

2 years ago

2067 Supp Q.No. 2a Find the sum of all the natural numbers between 1 and 100 which are divisible by 5. Ans: 1050

Alborosie

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

$y = x( \frac{z {}^{1} + {z}^{n} }{2} )$

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

$y = 20( \frac{5 + 100}{2} )$

$y = 20( \frac{105}{2} )$

$y = 1050$

5 0

2 years ago

1) The relation R on the set {1,2,3, 4}is defined as

Westkost [7]

Matrix dimension 4x4. We put 1 if role is in relation with the collon (role is first number of (a,b), number a, and collone is number b. We have them 4). So, the matrix representation is:

0 0 1 1

0 1 0 0

0 0 0 0

7 0

2 years ago

Cosx - 4 = sinx -4 (0,2pi) Find solutions

lutik1710 [3]

$\bf cos(x)-4=sin(x)-4\implies cos(x)=sin(x)\implies \cfrac{cos(x)}{sin(x)}=0
\\\\\\
cot(x)=0\implies \measuredangle x=cot^{-1}(0)\implies \measuredangle x=\frac{\pi }{2}~~,~~\frac{3\pi }{2}$

8 0

2 years ago