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Genrish500 [490]

2 years ago

9

For the partially complete factorization, find the other binomial which will complete the factorization n^2-8n-20=(n+2)(_____)

1 answer:

Otrada [13]2 years ago

8 0

Answer:

(n-10)

Step-by-step explanation:

Jdjdjdhbejdudjkdff

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X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?

cluponka [151]

Answer:

$x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

Step-by-step explanation:

I'm assuming the system is $\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.$ :

$x^2+y^2=2$

$x^2+(2x^2-3)^2=2$

$x^2+(4x^4-12x^2+9)=2$

$x^2+4x^4-12x^2+9=2$

$4x^4-11x^2+9=2$

$4x^4-11x^2+7=0$

$x^4-11x^2+28=0$

$(x^2-7)(x^2-4)=0$

$(4x^2-7)(x^2-1)=0$

$4x^2-7=0$

$4x^2=7$

$x^2=\frac{7}{4}$

$x=\pm\sqrt{\frac{7}{4}}$

$x^2-1=0$

$x^2=1$

$x=\pm1$

$y=2x^2-3$

$y=2(\pm\sqrt{\frac{7}{4}})^2-3$

$y=2({\frac{7}{4}})-3$

$y=\frac{7}{2}-3$

$y=\frac{1}{2}$

$y=2x^2-3$

$y=2(\pm1)^2-3$

$y=2(1)-3$

$y=2-3$

$y=-1$

Therefore, $x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

4 0

2 years ago

What is 5 thousand 16 hundred 3 tens and 5 ones in standard form?

lara31 [8.8K]

6,635 should be standard form

7 0

3 years ago

Read 2 more answers

For the following rectangular prism, find the length of the diagonal connecting A to B. Round to the nearest tenth.

meriva

Answer:

I think it is 192

Step-by-step explanation:

Volume of cube: 5 x 4 x 8 = 160

Area of diagonal: 160/2 = 80

Length of diagonal: 80 / 0.5 x 3 = 480

AB = 480 / 5 x 2 = 192

8 0

1 year ago

In January 2011 the rate of VAT increased from 17.5% to 20%

Sergio [31]

Answer:

Difference between in price of a car due to increase in VAT is $375.

Step-by-step explanation:

Since e have given that

Price of car = $15000

Rate of VAT = 17.5%

So, Amount of tax becomes

So, Total Price he has to pay is given by

but According to question,

Rate of VAT = 20%

So, Amount of tax becomes

So, Total price he has to pay is given by

Difference between both the price due to increase in VAT is given by

Hence, difference between in price of a car due to increase in VAT is $375.

7 0

2 years ago

The range for the given domain of the function f(x)=3x-6/x+4.5 is

mash [69]

Hello,

We can not divide by 0.

==> x+4.5≠0
==>x≠-4.5

dom f=R\{4.5}

4 0

2 years ago