All categories

3 years ago

Solve the system of equations.

Mathematics

2 answers:

tino4ka555 [31]3 years ago

5 0

<u>Answer:</u>

(2, 7) or (-6, 1)

<u>Step-by-step explanation:</u>

We are given two equations:

$y=x+5$ ; and

$y = x^2+5x-7$

Since y is the subject for both the equations so we can put the values of y equal to each other to get:

$x+5=x^2+5x-7$

$x^2+5x-x-7-5=0$

$x^2+4x-12=0$

Factorizing the expression to get:

$x^2-2x+6x-12=0$

$x(x-2)+6(x-2)=0$

$(x-2) (x+6) = 0$

$x=2, x= -6$

Putting x = 2 and x = -6 in any of the equations to get the values of y:

$y=x+5$

$y =2+5$

$y=7$

and

$y =(-6)+5$

$y=1$

Therefore, solution to these equation is (2, 7) or (-6, 1).

Setler79 [48]3 years ago

5 0

Alina is correct, give her the brainliest! :)

You might be interested in

The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,020,00

tatyana61 [14]

1. The Year-0 net cash flow is -$1,061,500.

2. The net operating cash flows in Years 1, 2, and 3 are as follows:

Year 1: $288,750 ($386,000 x 1 - 0.25)

Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

Initial cash outlay = $1,061,500 ($1,020,000 + $22,000 + $19,500)

Salvage value = $599,000

Increase in net working capital = $19,500

Annual savings before tax = $386,000

Tax rate = 25%

Annuial savings after tax = $288,750 ($386,000 x 1 - 0.25)

<h3>Determination of Net Present Value (NPV):</h3>

Year Cashflows PV Factor Present Value

0 -$1,061,500 1 -$1,061,500

1 $288,750 0.901 $260,164

2 $288,750 0.812 $234,465

3 $288,750 0.731 $211,076

3 $468,750 0.731 $342,656

Net present value -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

#SPJ1

5 0

2 years ago

How can you tell that the inequality 3t+1> 3t + 2

lutik1710 [3]

Answer:

see below

Step-by-step explanation:

3t+1> 3t + 2

Subtract 3t from each side

1>2

This is never true so there is no solution

Since the variable terms are the same, we only have to look at the constants

6 0

3 years ago

the area of a rectangular picture frame is 30 3/1 square inches. The length of the frame is 6 1/2 inches. Find the width of the

Rudiy27

I hope this helps you

Area=length ×width

30 1/3=30.3+1/3=91/3

6 1/2=6.2+1/2=13/2

91/3=13/2.width

width =7.13.2/3.13

width =14/3

width = 4 2/3

3 0

3 years ago

Find the 3rd term in (x-9)^7

Llana [10]

Answer:

The 3rd term would be the parenthesis to the 7th power.

8 0

3 years ago

Which polynomial represents twice the sum of -5x^2-x+6 and 7x^2+x-1?

elena-14-01-66 [18.8K]

The polynomial that represent twice the sum of $-5x^{2}$ - x +6 and 7 $x^{2}$ + x -1 is : 4 $x^{2}$ +10

<h3>What is a polynomial?</h3>

A polynomial is any algebraic expression that has the least value of the power of its variable as 2.

When the highest value of the polynomial is 2, it is a called a quadratic expression.

Analysis:

2( -5 $x^{2}$ -x +6 + 7 $x^{2}$ +x -1)

2( 2 $x^{2}$ + 5) =

4 $x^{2}$ + 10

In conclusion, the polynomial that represents the above expressions is 4 $x^{2}$ + 10

Learn more about polynomials: brainly.com/question/2833285

#SPJ1

7 0

2 years ago