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3 years ago

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Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

Answer:

Step-by-step explanation:

because 2+2+2+2=8 pretty self explanatory

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Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One a

Minchanka [31]

Answer:

II. One and only one solution

Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Let assume the equation is given as;

x + 3y = 11 .... 1

x - y = -1 ....2

Using elimination method

Subtract equation 1 from 2

(x-x) + 3y-y = 11-(-1)

0+2y = 11+1

2y = 12

y = 12/2

y = 6

Substitute y = 6 into equation 2:

x-y = -1

x - 6 = -1

x = -1 + 6

x = 5

Hence the solution (x, y) is (5, 6)

Hence we can say the equation has One and only one solution since we have just a value for x and y

4 0

3 years ago

The amount of Interest a store charges a customer for buying on the installment plan is a?

nasty-shy [4]

annual percentage rate

7 0

3 years ago

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 bx c, is shown.step 1: –c = ax2 bxwhich b

Ksju [112]

Answer:

option (b) is correct.

First step to solve for deriving the quadratic formula from the quadratic equation is completing the square.

Step-by-step explanation:

Given : the quadratic equation $ax^2+bx+c=0$

We have to find the first step for deriving the quadratic formula from the quadratic equation.

Quadratic formula is given by $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Consider the given quadratic equation $ax^2+bx+c=0$

Divide the equation by a, we get,

$x^2+\frac{b}{a}x+\frac{c}{a}=0$

Take $\frac{c}{a}$ to other side, we get,

$x^2+\frac{b}{a}x=-\frac{c}{a}$

Add $(\frac{b}{2a})^2$ to both side, we get,

$x^2+\frac{b}{a}x+(\frac{b}{2a})^2=(\frac{b}{2a})^2-\frac{c}{a}$

Thus, the left side is in the form of $(a+b)^2=a^2+b^2+2ab$

On solving, we get,

$(x+\frac{b}{2a})^2=(\frac{b}{2a})^2-\frac{c}{a}$

Then solve for x , we get quadratic formula $\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Thus, first step to solve for deriving the quadratic formula from the quadratic equation is completing the square.

Thus, option (b) is correct.

3 0

3 years ago

Read 2 more answers

a flower garden is 4 feet longer than its width. write a polynominal that represents the area of the garden

LenaWriter [7]

L = W+4
A = L x W
A = w + 4 x w
A = w² +4w

3 0

3 years ago

Which function below is the inverse of f(x) = The quantity of seven x plus one, over two.?A) f−1(x) = two over the quantity of s

Law Incorporation [45]

The given function is f(x) = (7x + 1)/2. Write it as y = (7x)/2 + 1/2. To determine the inverse do these 3 steps. Step 1: Swap x and y to obtain x = (7y)/2 + 1/2. Step2: Solve for y. First, multiply through by 2 to obtain 2x = 7y + 1. Second, subtract 1 from each side to ontain 2x - 1 = 7y. Third, divide through by 7 to obtain (2x - 1)/7 = y. Step 3: Set y to the inverse of f(x) to obtain f^(-1) (x) = (2x - 1)/7.

6 0

3 years ago