Factor the polynomial

Quadratic Equation

Natasha_Volkova [10]

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

Let the age of 1st friend and 2nd friend is x, y respectively.

1 st condition= The sum of ages of two friends is 13 yrs.

i.e x+y = 13........ (I)

2nd condition= The product of their ages is 42.

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

Putting the equation (iii) in equation (ii).

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

${y}^{2} - 13y + 42 = 0$

${y}^{2} - (7 + 6)y + 42= 0$

${y}^{2} - 7y - 6y + 42 = 0$

$y(y - 7) - 6(y - 7) = 0$

$(y - 6) (y - 7) = 0$

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

Keeping the value of y as "7" in equation (ii)

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

Hope it helps...

7 0

3 years ago

How are y-intercepts of y=(1/3)^x and y=5(1/3)^x different?

loris [4]

Remark.
The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x

Comment
The red line's y intercept is (0,1)
The blue line's y intercept is (0,5)

Why
If the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y = 5*(1/3)^0 = 5*1 = 5

In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x

If you have choices, could you please list them? I may be giving you the right answer but not in the form required.

7 0

3 years ago

Read 2 more answers

Jakes batting average for softball season is 0.368 what is Jake’s batting average written in expanded form

alukav5142 [94]

Here you go the answers below

4 0

3 years ago

On January 1 2017 ,Bonita corporation sighned a 3 year noncancelable lease for several computers.The terms of the lease called f

Nadusha1986 [10]

The present value of the minimum lease payments for Bonita Corporation, which signed a noncancelable lease, is $11,121.35.

<h3>What is the present value of the minimum lease payments?</h3>

The present value of the minimum lease payments is the sum of all of the future lease payments, expressed in present value terms, including the estimated value of the leased asset after the lease period.

The present value of the minimum lease payments can be computed using the PV factor or formula.

It can also be computed using an online finance calculator, as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 3 years

I/Y (Interest per year) = 11%

PMT (Periodic Payment) =- $4,100

FV (Future Value) = $0

Results:

PV = $11,121.35 ($12,300 - $1,178.65)

Sum of all periodic payments = $12,300 ($4,100 x 3)

Total Interest $1,178.65

Thus, the present value of the minimum lease payments for Bonita Corporation, which signed a noncancelable lease, is $11,121.35.

Learn more about minimum lease payments at brainly.com/question/17164931

#SPJ1

4 0

2 years ago

In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the law of sines, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find: