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2 years ago

Solve x2 + 32x = –255 by completing the square.

Mathematics

1 answer:

Mrrafil [7]2 years ago

3 0

Answer:

-15, -17

Step-by-step explanation:

x^2 + 32x = –255 move the -255 to the left

x^2 + 32x +255=0

What two number when multiplied equal 255? Those same two numbers when added make 32. 17*15 make 255 and added is 32

(x+15)(x+17) For x+15=0 move the 15 to the other side. x= -15. Same with x+17=0 is x= -17

x= -15, -17

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Can someone please answer this - (6m + 7) -6 (-7 - m) = 35

jasenka [17]

Answer:

35=35

Step-by-step explanation:

-(6m+7)-6(-7-m)=35

-6m-7-6(-7-m)=35

5 0

2 years ago

What is the expression in radical form? (4x3y2)310

sertanlavr [38]

Given:

Consider the given expression is

$(4x^3y^2)^{\frac{3}{10}}$

To find:

The radical form of given expression.

Solution:

We have,

$(4x^3y^2)^{\frac{3}{10}}=(2^2)^{\frac{3}{10}}(x^3)^{\frac{3}{10}}(y^2)^{\frac{3}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{6}{10}}(x)^{\frac{9}{10}}(y)^{\frac{6}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3}{5}}(x)^{\frac{9}{10}}(y)^{\frac{3}{5}}$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{2^3}\sqrt[10]{x^9}\sqrt[5]{y^3}$ $[\because x^{\frac{1}{n}}=\sqrt[n]{x}]$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\sqrt[10]{x^9}$ $[\because x^{\frac{1}{n}}=\sqrt[n]{x}]$

Therefore, the required radical form is $\sqrt[5]{8y^3}\sqrt[10]{x^9}$ .

8 0

3 years ago

If $64,000 is invested in an IRA account with an annual interest rate of 8% compounded once a year, what is the value of the acc

Iteru [2.4K]

Answer: the value of the account after 6 years is $101559.96

Step-by-step explanation:

If $64,000 is invested in an IRA account, then

Principal = $64,000

So P = 64,000

The rate at which $64000 was compounded is 8%

So r = 8/100 = 0.08

If it is compounded once in a year, this means that it is compounded annually (and not semi annually, quarterly or others). So

n = 1

We want to determine the value of the account after 6 years, this means

time, t = 6

Applying the compound interest formula,

A = P(1 + r/n)^nt

A = amount after n number of years

A = 64000( 1 + 0.08/1)^1×6

A = 64000(1.08)^6

A= 64000×1.58687432294

A= 101559.956668416

Approximately $101559.96 to 2 decimal places

4 0

3 years ago

Solve –15 = 4m – 7. –32 2 –12 –2

Shkiper50 [21]

Answer:

-2 =m

Step-by-step explanation:

–15 = 4m – 7

Add 7 to each side

–15+7 = 4m – 7+7

-8 = 4m

Divide each side by 4

-8/4 = 4m/4

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3 years ago

Siobhan performs the elementary row operation represented by 2R3-R2 on matrix A.

Natalija [7]

Answer:

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Step-by-step explanation:

Took the quiz.

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3 years ago