All categories

3 years ago

Solve the equation for x: x^2-ax-bx+ab=0

Mathematics

2 answers:

____ [38]3 years ago

5 0

Answer:

x = a

x = b

Step-by-step explanation:

solve the equation for x by finding a, b and c of the quadratic then applying the quadratic formula

Anarel [89]3 years ago

5 0

X= (ab + b^2 / a+b) is the solution of the equation for x

You might be interested in

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

<u>The formula for the monthly payment</u>.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The <u>total amount paid</u> over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

3 years ago

Round 7,883 to nearest thousand

Stels [109]

Answer:

8,000

Step-by-step explanation:

the nearest thousand is 8,000 as it is past 7,500.

6 0

3 years ago

Read 2 more answers

Simplify. 2x+7y+3x−4y please help

Mariulka [41]

Answer:

Step-by-step explanation:

$2x+7y+3x-4y\\\\\mathrm{Group\:like\:terms}\\=2x+3x+7y-4y\\\\\mathrm{Add\:similar\:elements:}\:2x+3x=5x\\=5x+7y-4y\\\\\mathrm{Add\:similar\:elements:}\:7y-4y=3y\\= 5x+3y$

8 0

3 years ago

Read 2 more answers

Select all of the following ordered pairs that are in the solution set of the inequality shown

Goshia [24]

The answers would be (0,10) , (20,0) , and (100,100)

5 0

3 years ago

Read 2 more answers

Help it’s 50% of my grade

Ierofanga [76]

Answer:

(1/2)x+(1/4)=x

x=0.5

3x+3=2(x+7)

x=11

2(x-5)+7=x+8

x=11

0.8x+5=0.2(40-x)

x=3

5(x-1)-6x=-11x

x=0.5

6(x+2)-x=4(x+4)+7

x=11

(1/2)(x+8)+(3/2)x=10

x=3

Step-by-step explanation:

(1/2)x+(1/4)=x

x-0.5x=0.25

0.5x=0.25

x=0.5

3x+3=2(x+7)

3x+3=2x+14

3x-2x=14-3

x=11

2(x-5)+7=x+8

2x-10+7=x+8

2x-x=8+10-7

x=11

0.8x+5=0.2(40-x)

0.8x+5=8-0.2x

0.8x+0.2x=8-5

x=3

5(x-1)-6x=-11x

5x-5-6x=-11x

11x-x=5

10x=5

x=0.5

6(x+2)-x=4(x+4)+7

6x+12-x=4x+16+7

6x-4x-x=16+7-12

x=11

(1/2)(x+8)+(3/2)x=10

0.5x+4+1.5x=10

2x=6

x=3

4 0

3 years ago